Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

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 10 to 8 computations (20% 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)

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

const: 0.0ms (0% of total)

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

sample801.0ms (11.4%)

Results

478.0ms	7632×	0	valid
58.0ms	200×	2	valid
47.0ms	290×	1	valid
25.0ms	134×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-div: 131.0ms (42.2% of total)

ival-sub: 84.0ms (27% of total)

ival-mult: 69.0ms (22.2% of total)

const: 15.0ms (4.8% of total)

backward-pass: 12.0ms (3.9% of total)

Bogosity

preprocess62.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

296×	`fnmsub-define`
296×	`fmsub-define`
296×	`fnmadd-define`
204×	`fnmadd-define`
198×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	48	32
2	96	26
3	230	24
4	545	24
5	930	24
6	1068	24
7	1080	24
0	8	5
1	15	5
2	25	4
3	41	4
4	59	4
5	100	4
6	181	4
7	285	4
8	364	4
9	561	4
10	681	4
11	695	4
0	695	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (* (/ 3 8) y))

Outputs
(- x (* (/ 3 8) y))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Call 2

Inputs
(- x (* (/ 3 8) y))
(- (neg x) (* (/ 3 8) y))
(- x (* (/ 3 8) (neg y)))
(neg (- (neg x) (* (/ 3 8) y)))
(neg (- x (* (/ 3 8) (neg y))))
(- y (* (/ 3 8) x))

Outputs
(- x (* (/ 3 8) y))
(fma y -3/8 x)
(- (neg x) (* (/ 3 8) y))
(fnmsub 3/8 y x)
(- x (* (/ 3 8) (neg y)))
(fma 3/8 y x)
(neg (- (neg x) (* (/ 3 8) y)))
(fma 3/8 y x)
(neg (- x (* (/ 3 8) (neg y))))
(fnmsub 3/8 y x)
(- y (* (/ 3 8) x))
(fma x -3/8 y)

explain77.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 8 binary64)`
-	-	`y`

Results

31.0ms	468×	0	valid
11.0ms	24×	1	valid
3.0ms	10×	3	valid
2.0ms	10×	2	valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

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

ival-div: 6.0ms (39.7% of total)

ival-mult: 4.0ms (26.5% of total)

ival-sub: 3.0ms (19.8% of total)

const: 1.0ms (6.6% of total)

backward-pass: 1.0ms (6.6% 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
▶	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -3/8 binary64))
✓	cost-diff	0	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Rules

4×	`fma-lowering-fma.f32`
4×	`fma-define`
4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	10
2	9	10
0	9	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8

Outputs
(+ x (* y -3/8))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)

localize52.0ms (0.7%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Results

30.0ms	5×	3	valid
13.0ms	234×	0	valid
1.0ms	12×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 30.0ms (88.8% of total)

ival-mult: 3.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>

Outputs
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y -3/8)
0.0ms	y	@	inf	(+ x (* y -3/8))
0.0ms	x	@	inf	(+ x (* y -3/8))
0.0ms	y	@	inf	(* y -3/8)
0.0ms	x	@	0	(+ x (* y -3/8))

rewrite322.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
2620×	`/-lowering-/.f32`
2620×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	20	7
2	175	7
3	1915	7
0	8511	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(+ x (* y -3/8))
(* y -3/8)

Outputs
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64)) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64)))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64)))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64)) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 9/64 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64)))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))))) (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (+.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))))
(fma.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (.f64 y #s(literal -3/8 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal -3/8 binary64)) (+.f64 x (.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (+.f64 x (.f64 y #s(literal -3/8 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x (.f64 y #s(literal 3/8 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 -19683/134217728 binary64))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))))
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(/.f64 (neg.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 -729/262144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (neg.f64 (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))))) (pow.f64 (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (.f64 (.f64 x (/.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))) #s(literal -1 binary64))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))) (/.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))))
(.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal -3/8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (.f64 y #s(literal -3/8 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) (.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y #s(literal -3/8 binary64)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (-.f64 (.f64 (.f64 y #s(literal -3/8 binary64)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal -3/8 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y #s(literal 3/8 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 -729/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 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 -19683/134217728 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) (.f64 x (.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (.f64 y #s(literal 3/8 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 -729/262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))))
(exp.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))

simplify156.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1744×	`fnmadd-define`
1606×	`fmsub-define`
1582×	`fnmsub-define`
1436×	`fmm-def`
1428×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	66	120
2	186	120
3	499	120
4	1449	120
5	4063	120
6	6260	120
0	8008	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)

eval17.0ms (0.2%)

Compiler: Compiled 5059 to 417 computations (91.8% saved)

prune24.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	150	10	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	11	161

Accuracy

100.0%

Counts

161 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	32.6%	(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
▶	52.8%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
	31.2%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
	52.8%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
▶	99.6%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
	48.3%	(*.f64 #s(literal -3/8 binary64) y)
▶	51.1%	x

Compiler

Compiled 349 to 203 computations (41.8% saved)

simplify187.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -3/8 binary64))
✓	cost-diff	0	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	cost-diff	768	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
✓	cost-diff	896	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
✓	cost-diff	0	(*.f64 y #s(literal 9/64 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 9/64 binary64)))
✓	cost-diff	0	(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
✓	cost-diff	0	(*.f64 y #s(literal -3/8 binary64))
✓	cost-diff	0	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
✓	cost-diff	6272	(fma.f64 y #s(literal -3/8 binary64) x)

Rules

2538×	`-lowering-.f32`
2538×	`-lowering-.f64`
1890×	`/-lowering-/.f32`
1890×	`/-lowering-/.f64`
1416×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	102
1	56	100
2	121	100
3	338	100
4	1576	100
5	5799	100
0	8319	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* y -3/8) x)
y
-3/8
x
x
(/ 1 (/ 1 (+ x (* y -3/8))))
1
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
y
(* y 9/64)
9/64
(* x x)
x
(- (* y -3/8) x)
(* y -3/8)
-3/8
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8)))))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8))))
(+ x (* y 3/8))
(* y 3/8)
3/8
(/ 1 (+ x (* y 3/8)))
1

Outputs
(+ (* y -3/8) x)
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
y
-3/8
#s(literal -3/8 binary64)
x
x
(/ 1 (/ 1 (+ x (* y -3/8))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
1
#s(literal 1 binary64)
(/ 1 (+ x (* y -3/8)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(+ x (* y -3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(- (* y (* y 9/64)) (* x x))
(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
(* y (* y 9/64))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
y
(* y 9/64)
(*.f64 y #s(literal 9/64 binary64))
9/64
#s(literal 9/64 binary64)
(* x x)
(*.f64 x x)
x
(- (* y -3/8) x)
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8)))))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+ x (* y -3/8))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)
(* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8))))
#s(literal 1 binary64)
(+ x (* y 3/8))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(/ 1 (+ x (* y 3/8)))
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
1
#s(literal 1 binary64)

localize155.0ms (2.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
✓	accuracy	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
✓	accuracy	99.6%	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
✓	accuracy	99.9%	(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 9/64 binary64)))
✓	accuracy	91.2%	(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
✓	accuracy	54.1%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
✓	accuracy	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)

Results

83.0ms	211×	0	valid
13.0ms	11×	3	valid
11.0ms	21×	1	valid
8.0ms	10×	2	valid
5.0ms	3×	5	exit

Compiler

Compiled 146 to 23 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 47.0ms (61% of total)

ival-div: 10.0ms (13% of total)

compiled-spec: 6.0ms (7.8% of total)

ival-add: 5.0ms (6.5% of total)

ival-sub: 4.0ms (5.2% of total)

backward-pass: 4.0ms (5.2% of total)

const: 1.0ms (1.3% of total)

series15.0ms (0.2%)

Counts

14 → 300

Calls

Call 1

Inputs
#<alt (+ (* y -3/8) x)>
#<alt (/ 1 (/ 1 (+ x (* y -3/8))))>
#<alt (/ 1 (+ x (* y -3/8)))>
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
#<alt (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))>
#<alt (- (* y (* y 9/64)) (* x x))>
#<alt (* y (* y 9/64))>
#<alt (* y 9/64)>
#<alt (* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8)))))>
#<alt (* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8))))>
#<alt (- (* y -3/8) x)>
#<alt (/ 1 (+ x (* y 3/8)))>
#<alt (+ x (* y 3/8))>

Outputs
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ -8/3 y)>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* 3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ -8/3 y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)>
#<alt (/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -8/3 y)>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (- (* 9/64 (pow y 2)) (pow x 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 9/64 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 (pow y 2))>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* -1 x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (- (* -3/8 y) x)>
#<alt (* -3/8 y)>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* y (- (* -1 (/ x y)) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -1 (* y (+ 3/8 (/ x y))))>
#<alt (* -3/8 y)>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (+ (* -1 x) (* -3/8 y))>
#<alt (* -1 x)>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* x (- (* -3/8 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))>
#<alt (/ 8/3 y)>
#<alt (+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* -3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ 8/3 y)>
#<alt (/ (+ 8/3 (* -64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)>
#<alt (/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)>
#<alt (/ 8/3 y)>
#<alt (* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))>
#<alt (* 3/8 y)>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt (* x (+ 1 (* 3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (+ x (* 3/8 y))>
#<alt (* 3/8 y)>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* y (+ 3/8 (/ x y)))>
#<alt (* 3/8 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/8)))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y 9/64)
1.0ms	y	@	0	(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
1.0ms	x	@	0	(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
1.0ms	y	@	inf	(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
0.0ms	x	@	inf	(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))

rewrite861.0ms (12.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2590×	`-lowering-.f32`
2590×	`-lowering-.f64`
2214×	`/-lowering-/.f32`
2214×	`/-lowering-/.f64`
1664×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	136	58
2	1264	58
0	8775	58

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1133

Calls

Call 1

Inputs
(+ (* y -3/8) x)
(/ 1 (/ 1 (+ x (* y -3/8))))
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
(* y -3/8)
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))
(- (* y (* y 9/64)) (* x x))
(* y (* y 9/64))
(* y 9/64)
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8)))))
(* (+ x (* y 3/8)) (/ 1 (+ x (* y 3/8))))
(- (* y -3/8) x)
(/ 1 (+ x (* y 3/8)))
(+ x (* y 3/8))

Outputs
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
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(+.f64 (fma.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (neg.f64 (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) x (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) x)))
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(+.f64 (fma.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (neg.f64 (.f64 (+.f64 (.f64 y #s(literal -3/8 binary64)) x) (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)))))) (fma.f64 (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))) (.f64 (+.f64 (.f64 y #s(literal -3/8 binary64)) x) (/.f64 (.f64 x x) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))))))
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(+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x))) (neg.f64 (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) x (.f64 (/.f64 x (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) x)))
(+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (.f64 x x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (*.f64 x x))))
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(exp.f64 (log.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
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(exp.f64 (neg.f64 (.f64 (log.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64)))) #s(literal -1 binary64))))
(-.f64 x (*.f64 y #s(literal -3/8 binary64)))
(-.f64 (*.f64 y #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal 3/8 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (.f64 y #s(literal 3/8 binary64)) x)) (/.f64 (-.f64 (.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x x))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (/.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))))) (-.f64 (.f64 y #s(literal 3/8 binary64)) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 81/4096 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))) (-.f64 (.f64 y #s(literal 3/8 binary64)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(fma.f64 y #s(literal 3/8 binary64) x)
(fma.f64 #s(literal 3/8 binary64) y x)
(neg.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal -1 binary64))
(/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (.f64 (+.f64 (.f64 y #s(literal -3/8 binary64)) x) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (.f64 (+.f64 (.f64 y #s(literal -3/8 binary64)) x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)) (.f64 #s(literal 0 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x))) (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 (.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))
(pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(.f64 (-.f64 (.f64 y #s(literal -3/8 binary64)) x) #s(literal -1 binary64))
(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x)))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x))))))
(.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 (.f64 y #s(literal -3/8 binary64)) x)))))
(.f64 (pow.f64 (pow.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 27/512 binary64)) (.f64 x (.f64 x x))))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))

simplify287.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4264×	`-lowering-.f32`
4264×	`-lowering-.f64`
1826×	`/-lowering-/.f32`
1826×	`/-lowering-/.f64`
1796×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	2033
1	892	1921
2	2483	1873
0	8263	1873

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ -8/3 y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ -8/3 y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/ -8/3 y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(- (* 9/64 (pow y 2)) (pow x 2))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(* 9/64 (pow y 2))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(* -1 x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(* -3/8 y)
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -3/8 y)
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(* -1 x)
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(/ 8/3 y)
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ 8/3 y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/ 8/3 y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(* 3/8 y)
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(+ x (* 3/8 y))
x
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
x
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(* 3/8 y)
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* 3/8 y)
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))

Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -512/27 binary64) (.f64 x x)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 x #s(literal -4096/81 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -512/27 binary64) (.f64 y y)) y)) (.f64 x x)) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 27/512 binary64) (/.f64 (.f64 y (.f64 y y)) x)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) x) (*.f64 y #s(literal 3/8 binary64))) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) x) (*.f64 y #s(literal 3/8 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 #s(literal 27/512 binary64) (/.f64 (.f64 y (.f64 y y)) x))) x) (.f64 y #s(literal 3/8 binary64))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x))
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 y #s(literal 27/512 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 9/64 binary64) (.f64 x (.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)) x))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -512/27 binary64) (.f64 x x)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -512/27 binary64) (.f64 x x)) y) (.f64 x #s(literal -64/9 binary64))) y) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -4096/81 binary64)))) (.f64 y (.f64 y y))))) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -512/27 binary64) (.f64 x x)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (-.f64 (.f64 x #s(literal -64/9 binary64)) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4096/81 binary64)) y) (.f64 x (.f64 x #s(literal 512/27 binary64)))) y)) y)) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
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(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
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(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
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(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
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(+ x (* -3/8 y))
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(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
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x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
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(* -1 (pow x 2))
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(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
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(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
(- (* 9/64 (pow y 2)) (pow x 2))
(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
(* 9/64 (pow y 2))
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(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 y (.f64 y (-.f64 #s(literal 9/64 binary64) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 y (.f64 y (-.f64 #s(literal 9/64 binary64) (/.f64 (.f64 x x) (.f64 y y)))))
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))
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(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 (pow y 2))
(.f64 y (.f64 y #s(literal 9/64 binary64)))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ x y) 3/8))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (* -1 (/ x y)) 3/8))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (* -1 (/ x y)) 3/8))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (* -1 (/ x y)) 3/8))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (/ x y))))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (/ x y))))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (+ 3/8 (/ x y))))
(*.f64 y (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -3/8 (/ y x)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (- (* -3/8 (/ y x)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (- (* -3/8 (/ y x)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 512/27 binary64))) y) (.f64 y y)) (/.f64 (+.f64 #s(literal 8/3 binary64) (.f64 (/.f64 x y) #s(literal -64/9 binary64))) y))
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (/.f64 #s(literal 8/3 binary64) y) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 (.f64 x #s(literal -4096/81 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 512/27 binary64) (.f64 y (.f64 y y))))) (/.f64 #s(literal -64/9 binary64) (.f64 y y)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) x)) x)) x)
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y #s(literal -27/512 binary64)))) x) (.f64 x x)) (/.f64 (+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 3/8 (/ y x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 y (*.f64 y #s(literal 9/64 binary64))) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (+.f64 (.f64 #s(literal 27/512 binary64) (/.f64 (.f64 y (.f64 y y)) x)) (.f64 (.f64 y y) #s(literal -9/64 binary64))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x)
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x)) x))
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (.f64 (.f64 y y) (+.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 y #s(literal -27/512 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)) x))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ (+ 8/3 (* -64/9 (/ x y))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -4096/81 binary64)))) (.f64 y (.f64 y y))) (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 512/27 binary64))) y) (.f64 x #s(literal -64/9 binary64))) y))) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 512/27 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -4096/81 binary64)))) y)) y) (.f64 x #s(literal -64/9 binary64))) y)) y)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* x (+ 1 (* 3/8 (/ y x))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* 3/8 (/ y x))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* x (+ 1 (* 3/8 (/ y x))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
x
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+ x (* 3/8 y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* y (+ 3/8 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 3/8 binary64)))

eval247.0ms (3.5%)

Compiler: Compiled 60879 to 2430 computations (96% saved)

prune162.0ms (2.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1723	9	1732
Fresh	3	2	5
Picked	3	2	5
Done	0	1	1
Total	1729	14	1743

Accuracy

100.0%

Counts

1743 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	52.8%	(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 9/64 binary64)) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
	49.9%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
	31.2%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
	27.5%	(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
	48.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	48.4%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y)))
▶	48.6%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))))
	89.0%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
▶	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
▶	89.2%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
▶	48.3%	(*.f64 #s(literal -3/8 binary64) y)
✓	51.1%	x

Compiler

Compiled 394 to 249 computations (36.8% saved)

simplify151.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))
✓	cost-diff	256	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64))))
✓	cost-diff	384	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))))
✓	cost-diff	0	(*.f64 y #s(literal -3/8 binary64))
✓	cost-diff	0	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	cost-diff	128	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y))
✓	cost-diff	256	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y)))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	cost-diff	128	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal -3/8 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal -3/8 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -3/8 binary64) y) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))

Rules

2172×	`-lowering-.f32`
2172×	`-lowering-.f64`
1946×	`/-lowering-/.f32`
1946×	`/-lowering-/.f64`
1672×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	157
1	60	144
2	184	136
3	617	118
4	2070	118
5	7750	118
0	8019	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (/ (* -3/8 y) x)))
x
(+ 1 (/ (* -3/8 y) x))
1
(/ (* -3/8 y) x)
(* -3/8 y)
-3/8
y
(* -3/8 y)
-3/8
y
(* y (+ -3/8 (/ x y)))
y
(+ -3/8 (/ x y))
-3/8
(/ x y)
x
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(* (+ x (* y 3/8)) (/ 8/3 y))
(+ x (* y 3/8))
(* y 3/8)
3/8
(/ 8/3 y)
8/3
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (* y 3/8))))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
(* (+ x (* y 3/8)) (/ 1 (* y 3/8)))
(+ x (* y 3/8))
(* y 3/8)
3/8
(/ 1 (* y 3/8))
1

Outputs
(* x (+ 1 (/ (* -3/8 y) x)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(+ 1 (/ (* -3/8 y) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(/ (* -3/8 y) x)
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
-3/8
#s(literal -3/8 binary64)
y
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
-3/8
#s(literal -3/8 binary64)
y
(* y (+ -3/8 (/ x y)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
y
(+ -3/8 (/ x y))
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
-3/8
#s(literal -3/8 binary64)
(/ x y)
(/.f64 x y)
x
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (-.f64 (/.f64 x #s(literal 3/8 binary64)) y))
(+ x (* y -3/8))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* y -3/8)
(*.f64 #s(literal -3/8 binary64) y)
y
-3/8
#s(literal -3/8 binary64)
(* (+ x (* y 3/8)) (/ 8/3 y))
(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 3/8 binary64))))
(+ x (* y 3/8))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
8/3
#s(literal 8/3 binary64)
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (* y 3/8))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (-.f64 (/.f64 x #s(literal 3/8 binary64)) y))
(+ x (* y -3/8))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
x
(* y -3/8)
(*.f64 #s(literal -3/8 binary64) y)
y
-3/8
#s(literal -3/8 binary64)
(* (+ x (* y 3/8)) (/ 1 (* y 3/8)))
(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 3/8 binary64))))
(+ x (* y 3/8))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(/ 1 (* y 3/8))
(/.f64 #s(literal 8/3 binary64) y)
1
#s(literal 1 binary64)

localize201.0ms (2.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))))
✓	accuracy	99.7%	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))
✓	accuracy	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y)))
✓	accuracy	99.7%	(.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y))
✓	accuracy	99.3%	(/.f64 #s(literal 8/3 binary64) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	accuracy	87.1%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) x))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal -3/8 binary64) y) x)
✓	accuracy	93.3%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))

Results

85.0ms	35×	5	exit
55.0ms	206×	0	valid
7.0ms	12×	1	valid
3.0ms	3×	3	valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 27.0ms (29.7% of total)

...c/correct-round.rkt:119:19: 27.0ms (29.7% of total)

ival-div: 14.0ms (15.4% of total)

backward-pass: 12.0ms (13.2% of total)

ival-add: 9.0ms (9.9% of total)

const: 1.0ms (1.1% of total)

series27.0ms (0.4%)

Counts

15 → 312

Calls

Call 1

Inputs
#<alt (* x (+ 1 (/ (* -3/8 y) x)))>
#<alt (+ 1 (/ (* -3/8 y) x))>
#<alt (/ (* -3/8 y) x)>
#<alt (* -3/8 y)>
#<alt (* y (+ -3/8 (/ x y)))>
#<alt (+ -3/8 (/ x y))>
#<alt (/ x y)>
#<alt (* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))>
#<alt (* (+ x (* y 3/8)) (/ 8/3 y))>
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
#<alt (* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (* y 3/8))))>
#<alt (* (+ x (* y 3/8)) (/ 1 (* y 3/8)))>
#<alt (/ 1 (* y 3/8))>
#<alt (/ 8/3 y)>

Outputs
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (* -3/8 (/ y x))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* -3/8 (/ y x))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -3/8 (/ y x))>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt -3/8>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt (/ x y)>
#<alt (* x (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* x (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* x (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -3/8 y)) y)>
#<alt (/ (+ x (* -3/8 y)) y)>
#<alt (/ (+ x (* -3/8 y)) y)>
#<alt -3/8>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt -3/8>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt (- (/ x y) 3/8)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -3/8 y)>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (/ (+ (* 8/3 (* y (+ (* -3/8 x) (* 3/8 x)))) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)>
#<alt (/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)>
#<alt (* -3/8 y)>
#<alt (* y (- (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) 3/8))>
#<alt (* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))>
#<alt (* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (* 8/3 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ x y))>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ (pow x 2) y))>
#<alt (/ (+ (* 8/3 (* y (+ (* -3/8 x) (* 3/8 x)))) (* 8/3 (pow x 2))) y)>
#<alt (/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)>
#<alt (/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)>
#<alt (* -3/8 y)>
#<alt (* y (- (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) 3/8))>
#<alt (* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))>
#<alt (* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (* 8/3 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ x y))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* x (+ (/ 1 x) (* 8/3 (/ 1 y))))>
#<alt (* 8/3 (/ x y))>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt (/ (+ y (* 8/3 x)) y)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (+ 1 (* 8/3 (/ x y)))>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>
#<alt (/ 8/3 y)>

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ x y)
2.0ms	x	@	0	(* y (+ -3/8 (/ x y)))
1.0ms	x	@	0	(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))
1.0ms	x	@	inf	(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))
1.0ms	x	@	0	(* x (+ 1 (/ (* -3/8 y) x)))

rewrite315.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3754×	`/-lowering-/.f32`
3754×	`/-lowering-/.f64`
3288×	`-lowering-.f32`
3288×	`-lowering-.f64`
1490×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	109
1	138	95
2	1297	77
0	8843	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1201

Calls

Call 1

Inputs
(* x (+ 1 (/ (* -3/8 y) x)))
(+ 1 (/ (* -3/8 y) x))
(/ (* -3/8 y) x)
(* -3/8 y)
(* y (+ -3/8 (/ x y)))
(+ -3/8 (/ x y))
(/ x y)
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 8/3 y)))
(* (+ x (* y 3/8)) (/ 8/3 y))
(+ x (* y -3/8))
(* y -3/8)
(* (+ x (* y -3/8)) (* (+ x (* y 3/8)) (/ 1 (* y 3/8))))
(* (+ x (* y 3/8)) (/ 1 (* y 3/8)))
(/ 1 (* y 3/8))
(/ 8/3 y)

Outputs
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 y #s(literal -3/8 binary64) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 #s(literal -3/8 binary64) y (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64)) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 9/64 binary64) (*.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (.f64 #s(literal 9/64 binary64) (*.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y))))))
(-.f64 (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 x (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 y x) x) x)
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 y (/.f64 x y) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) x x)
(fma.f64 (/.f64 x y) y (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64) x)
(fma.f64 (.f64 x (.f64 #s(literal -3/8 binary64) y)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 x #s(literal -3/8 binary64)) (/.f64 y x) x)
(fma.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal -3/8 binary64) y))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y)))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 512/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -3/8 binary64) y) x) (-.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (-.f64 (.f64 x x) (.f64 x (.f64 #s(literal -3/8 binary64) y)))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 512/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x))) (*.f64 y (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 x y)) (*.f64 y (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x))) (*.f64 (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (-.f64 (.f64 x x) (.f64 x (*.f64 #s(literal -3/8 binary64) y)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (*.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (*.f64 y y))) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (neg.f64 (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (*.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (neg.f64 (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (-.f64 (.f64 x x) (.f64 x (*.f64 #s(literal -3/8 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (*.f64 y (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y))))) (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x))))
(/.f64 (*.f64 y (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y))))) (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) y) (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x))))
(/.f64 (*.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) y) (-.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (.f64 #s(literal 9/64 binary64) (.f64 y y)))) (.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (.f64 x x))) (neg.f64 (-.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 #s(literal -3/8 binary64) y) x))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.f64 x (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal -3/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 9/64 binary64) x) (/.f64 (*.f64 y y) x))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y)))) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))) (.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (.f64 #s(literal 9/64 binary64) (*.f64 y y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64))))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
(*.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 x y)) y)
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (/.f64 x (/.f64 #s(literal 8/3 binary64) y))))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (-.f64 (.f64 x x) (.f64 x (.f64 #s(literal -3/8 binary64) y))))))
(.f64 (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (.f64 y y))))
(.f64 (-.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x)))
(.f64 (.f64 y (+.f64 #s(literal -27/512 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 y x) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 3/8 binary64)) (/.f64 y x)))))
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(.f64 (/.f64 (/.f64 (-.f64 x (/.f64 y #s(literal 8/3 binary64))) (/.f64 y #s(literal 8/3 binary64))) (-.f64 (.f64 x x) (.f64 #s(literal 9/64 binary64) (.f64 y y)))) (/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(neg.f64 (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) y))
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 3/8 binary64))
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -8/3 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(neg.f64 (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) y))
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 3/8 binary64))
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 #s(literal 9/64 binary64) (.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -8/3 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1/2 binary64)))

simplify237.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3546×	`-lowering-.f32`
3546×	`-lowering-.f64`
1952×	`fnmadd-define`
1596×	`fma-lowering-fma.f32`
1596×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1596
1	273	1469
2	940	1465
3	4283	1465
0	8635	1465

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(* -3/8 (/ y x))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* -3/8 (/ y x))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -3/8 (/ y x))
(/ (+ x (* -3/8 y)) x)
(/ (+ x (* -3/8 y)) x)
(/ (+ x (* -3/8 y)) x)
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
-3/8
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(/ x y)
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(/ x y)
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(/ x y)
(/ (+ x (* -3/8 y)) y)
(/ (+ x (* -3/8 y)) y)
(/ (+ x (* -3/8 y)) y)
-3/8
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
-3/8
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -3/8 y)
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(/ (+ (* 8/3 (* y (+ (* -3/8 x) (* 3/8 x)))) (* 8/3 (pow x 2))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(* -3/8 y)
(* y (- (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) 3/8))
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(* 8/3 (/ x y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* 8/3 (/ x y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* 8/3 (/ x y))
(/ (+ y (* 8/3 x)) y)
(/ (+ y (* 8/3 x)) y)
(/ (+ y (* 8/3 x)) y)
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(/ (+ (* 8/3 (* y (+ (* -3/8 x) (* 3/8 x)))) (* 8/3 (pow x 2))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(* -3/8 y)
(* y (- (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) 3/8))
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(* 8/3 (/ x y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* 8/3 (/ x y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(* 8/3 (/ x y))
(/ (+ y (* 8/3 x)) y)
(/ (+ y (* 8/3 x)) y)
(/ (+ y (* 8/3 x)) y)
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
1
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(+ 1 (* 8/3 (/ x y)))
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)
(/ 8/3 y)

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* -3/8 (/ y x))
(/.f64 y (*.f64 x #s(literal -8/3 binary64)))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* -3/8 (/ y x))
(/.f64 y (*.f64 x #s(literal -8/3 binary64)))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
(* -3/8 (/ y x))
(/.f64 y (*.f64 x #s(literal -8/3 binary64)))
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(/ (+ (* 8/3 (* y (+ (* -3/8 x) (* 3/8 x)))) (* 8/3 (pow x 2))) y)
(/.f64 (.f64 x (.f64 x #s(literal 8/3 binary64))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 8/3 binary64))) (.f64 y (.f64 #s(literal -3/8 binary64) y))) y)
(/ (+ (* 8/3 (pow x 2)) (* y (+ (* -3/8 y) (* 8/3 (+ (* -3/8 x) (* 3/8 x)))))) y)
(/.f64 (+.f64 (.f64 x (.f64 x #s(literal 8/3 binary64))) (.f64 y (.f64 #s(literal -3/8 binary64) y))) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) 3/8))
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 x (*.f64 x #s(literal 8/3 binary64))) y))
(* y (- (+ (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)) (* 8/3 (/ (pow x 2) (pow y 2)))) 3/8))
(+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 x (*.f64 x #s(literal 8/3 binary64))) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* 8/3 (/ (+ (* -3/8 x) (* 3/8 x)) y)))))
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
(+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 x (*.f64 x #s(literal 8/3 binary64))) y))
(* -1 (* y (+ 3/8 (* -1 (/ (+ (* -8/3 (+ (* -3/8 x) (* 3/8 x))) (* 8/3 (/ (pow x 2) y))) y)))))
(+.f64 (.f64 #s(literal -3/8 binary64) y) (/.f64 (.f64 x (*.f64 x #s(literal 8/3 binary64))) y))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* 8/3 (/ x y))
(/.f64 (*.f64 x #s(literal 8/3 binary64)) y)
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* 8/3 (/ x y))
(/.f64 (*.f64 x #s(literal 8/3 binary64)) y)
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* x (+ (/ 1 x) (* 8/3 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(* 8/3 (/ x y))
(/.f64 (*.f64 x #s(literal 8/3 binary64)) y)
(/ (+ y (* 8/3 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal 8/3 binary64))) y)
(/ (+ y (* 8/3 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal 8/3 binary64))) y)
(/ (+ y (* 8/3 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal 8/3 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(+ 1 (* 8/3 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 8/3 binary64)) y))
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)
(/ 8/3 y)
(/.f64 #s(literal 8/3 binary64) y)

eval228.0ms (3.3%)

Compiler: Compiled 37953 to 2132 computations (94.4% saved)

prune136.0ms (1.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1738	7	1745
Fresh	5	1	6
Picked	3	2	5
Done	1	2	3
Total	1747	12	1759

Accuracy

100.0%

Counts

1759 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.8%	(/.f64 x (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))
	48.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
▶	99.7%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	35.7%	(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x))
	35.6%	(*.f64 (/.f64 x (/.f64 #s(literal 8/3 binary64) y)) (/.f64 #s(literal -1 binary64) x))
▶	89.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
▶	37.6%	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	48.3%	(*.f64 #s(literal -3/8 binary64) y)
▶	48.1%	(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
✓	51.1%	x

Compiler

Compiled 166 to 121 computations (27.1% saved)

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -3/8 binary64) x)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(/.f64 (*.f64 x y) #s(literal 1 binary64))
✓	cost-diff	384	(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	cost-diff	256	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 x #s(literal -3/8 binary64))
✓	cost-diff	256	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	cost-diff	0	(/.f64 y #s(literal 8/3 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
✓	cost-diff	0	(/.f64 y #s(literal 8/3 binary64))
✓	cost-diff	0	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))

Rules

1860×	`-lowering-.f32`
1860×	`-lowering-.f64`
1606×	`sum3-define`
1446×	`/-lowering-/.f32`
1446×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	48	70
2	93	70
3	180	70
4	353	68
5	921	68
6	1622	68
7	4478	68
0	8202	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ y 8/3))
x
(/ y 8/3)
y
8/3
(neg (/ y 8/3))
(/ y 8/3)
y
8/3
(* (* x -3/8) (/ y x))
(* x -3/8)
x
-3/8
(/ y x)
y
(* (+ 1 (/ -3/8 (/ x y))) x)
(+ 1 (/ -3/8 (/ x y)))
1
(/ -3/8 (/ x y))
-3/8
(/ x y)
x
y
(* (/ (* x y) 1) (/ -3/8 x))
(/ (* x y) 1)
(* x y)
x
y
1
(/ -3/8 x)
-3/8

Outputs
(- x (/ y 8/3))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
x
(/ y 8/3)
(/.f64 y #s(literal 8/3 binary64))
y
8/3
#s(literal 8/3 binary64)
(neg (/ y 8/3))
(/.f64 y #s(literal -8/3 binary64))
(/ y 8/3)
(/.f64 y #s(literal 8/3 binary64))
y
8/3
#s(literal 8/3 binary64)
(* (* x -3/8) (/ y x))
(/.f64 y #s(literal -8/3 binary64))
(* x -3/8)
(/.f64 x #s(literal -8/3 binary64))
x
-3/8
#s(literal -3/8 binary64)
(/ y x)
(/.f64 y x)
y
(* (+ 1 (/ -3/8 (/ x y))) x)
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(+ 1 (/ -3/8 (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal -8/3 binary64))))
1
#s(literal 1 binary64)
(/ -3/8 (/ x y))
(/.f64 y (*.f64 x #s(literal -8/3 binary64)))
-3/8
#s(literal -3/8 binary64)
(/ x y)
(/.f64 x y)
x
y
(* (/ (* x y) 1) (/ -3/8 x))
(/.f64 y #s(literal -8/3 binary64))
(/ (* x y) 1)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
y
1
#s(literal 1 binary64)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
-3/8
#s(literal -3/8 binary64)

localize319.0ms (4.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -3/8 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	83.2%	(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	accuracy	99.2%	(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	accuracy	93.3%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x #s(literal -3/8 binary64))
✓	accuracy	85.2%	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	accuracy	100.0%	(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
✓	accuracy	99.7%	(/.f64 y #s(literal 8/3 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	accuracy	99.7%	(/.f64 y #s(literal 8/3 binary64))

Results

234.0ms	96×	5	exit
46.0ms	160×	0	valid

Compiler

Compiled 91 to 20 computations (78% saved)

Precisions

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

...c/correct-round.rkt:119:19: 63.0ms (34.3% of total)

ival-div: 40.0ms (21.7% of total)

ival-sub: 27.0ms (14.7% of total)

ival-mult: 26.0ms (14.1% of total)

backward-pass: 16.0ms (8.7% of total)

ival-neg: 7.0ms (3.8% of total)

ival-add: 4.0ms (2.2% of total)

const: 1.0ms (0.5% of total)

series6.0ms (0.1%)

Counts

14 → 288

Calls

Call 1

Inputs
#<alt (- x (/ y 8/3))>
#<alt (/ y 8/3)>
#<alt (neg (/ y 8/3))>
#<alt (* (* x -3/8) (/ y x))>
#<alt (* x -3/8)>
#<alt (/ y x)>
#<alt (* (+ 1 (/ -3/8 (/ x y))) x)>
#<alt (+ 1 (/ -3/8 (/ x y)))>
#<alt (/ -3/8 (/ x y))>
#<alt (/ x y)>
#<alt (* (/ (* x y) 1) (/ -3/8 x))>
#<alt (/ (* x y) 1)>
#<alt (* x y)>
#<alt (/ -3/8 x)>

Outputs
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (* -3/8 x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 (/ y x))>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt (/ (+ x (* -3/8 y)) x)>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (+ 1 (* -3/8 (/ y x)))>
#<alt (* -3/8 (/ y x))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* y (- (/ 1 y) (* 3/8 (/ 1 x))))>
#<alt (* -3/8 (/ y x))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (* -3/8 (/ y x))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>
#<alt (/ -3/8 x)>

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	-inf	(/ y x)
0.0ms	x	@	-inf	(/ (* x y) 1)
0.0ms	y	@	-inf	(/ (* x y) 1)
0.0ms	y	@	inf	(neg (/ y 8/3))

rewrite288.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4550×	`-lowering-.f32`
4550×	`-lowering-.f64`
3528×	`/-lowering-/.f32`
3528×	`/-lowering-/.f64`
1122×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	105	62
2	780	61
0	8517	61

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 632

Calls

Call 1

Inputs
(- x (/ y 8/3))
(/ y 8/3)
(neg (/ y 8/3))
(* (* x -3/8) (/ y x))
(* x -3/8)
(/ y x)
(* (+ 1 (/ -3/8 (/ x y))) x)
(+ 1 (/ -3/8 (/ x y)))
(/ -3/8 (/ x y))
(/ x y)
(* (/ (* x y) 1) (/ -3/8 x))
(/ (* x y) 1)
(* x y)
(/ -3/8 x)

Outputs
(+.f64 x (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (fma.f64 #s(literal -3/8 binary64) y (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (fma.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (fma.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64) (/.f64 y #s(literal 8/3 binary64))))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x)
(+.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal 8/3 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -8/3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 8/3 binary64)) x)
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -512/27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -64/9 binary64) y))) (+.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 64/9 binary64) y))) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -512/27 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))
(/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -64/9 binary64) y))) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 64/9 binary64) y))) (+.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.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)) #s(literal 512/27 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 729/262144 binary64)))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.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 729/262144 binary64))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 512/27 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 729/262144 binary64))) (.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64))) (.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 64/9 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 y (/.f64 #s(literal 64/9 binary64) y)))) (.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 64/9 binary64) y)))) (neg.f64 (+.f64 (/.f64 y #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -512/27 binary64)) (.f64 x (.f64 x x))) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (.f64 x x) (.f64 x (/.f64 y #s(literal -8/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))) (+.f64 (.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))) (.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))) (.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))) (.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -512/27 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))
(/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -64/9 binary64) y))) #s(literal 1 binary64)) (-.f64 x (/.f64 y #s(literal -8/3 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)) #s(literal 512/27 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 512/27 binary64)) (.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 729/262144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 512/27 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 729/262144 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (+.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 81/4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal -8/3 binary64))))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 64/9 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -512/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y))) (/.f64 (+.f64 x (/.f64 y #s(literal -8/3 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 x (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal 8/3 binary64) y)))))
(.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -64/9 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal -8/3 binary64)))))
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(pow.f64 (/.f64 x #s(literal -3/8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) x))
(*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) x))
(*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal 3/8 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/8 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal -3/8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal -3/8 binary64)) #s(literal -1/2 binary64)))

simplify153.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1578×	`sum3-define`
1354×	`-lowering-.f32`
1354×	`-lowering-.f64`
1152×	`/-lowering-/.f32`
1152×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	1044
1	102	990
2	263	990
3	734	990
4	1925	990
5	5110	990
6	7988	990
0	8016	990

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 (/ y x))
(/ (+ x (* -3/8 y)) x)
(/ (+ x (* -3/8 y)) x)
(/ (+ x (* -3/8 y)) x)
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
1
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(+ 1 (* -3/8 (/ y x)))
(* -3/8 (/ y x))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(* -3/8 (/ y x))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(* -3/8 (/ y x))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)
(/ -3/8 x)

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(* -3/8 x)
(*.f64 #s(literal -3/8 binary64) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(/ (+ x (* -3/8 y)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(/ (+ x (* -3/8 y)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(/ (+ x (* -3/8 y)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(* -3/8 (/ y x))
(/.f64 #s(literal -3/8 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)

eval148.0ms (2.1%)

Compiler: Compiled 12215 to 1318 computations (89.2% saved)

prune84.0ms (1.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	955	3	958
Fresh	3	0	3
Picked	3	2	5
Done	0	4	4
Total	961	9	970

Accuracy

100.0%

Counts

970 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(/.f64 (*.f64 x y) (/.f64 x #s(literal -3/8 binary64)))
	48.1%	(/.f64 y #s(literal -8/3 binary64))
	48.2%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.7%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	89.1%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
✓	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	48.3%	(*.f64 #s(literal -3/8 binary64) y)
✓	51.1%	x

Compiler

Compiled 430 to 145 computations (66.3% saved)

regimes182.0ms (2.6%)

Counts

31 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 x (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))
(/.f64 (*.f64 x y) (/.f64 x #s(literal -3/8 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
(*.f64 (/.f64 x (/.f64 #s(literal 8/3 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y)))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 9/64 binary64)) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))))
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

12.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
9.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes72.0ms (1%)

Counts

30 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 x (/.f64 (/.f64 x y) #s(literal -3/8 binary64)))
(/.f64 (*.f64 x y) (/.f64 x #s(literal -3/8 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) x)
(*.f64 (/.f64 x (/.f64 #s(literal 8/3 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 8/3 binary64) y)))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (+.f64 x (.f64 y #s(literal 3/8 binary64))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 9/64 binary64)) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3/8 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y #s(literal 3/8 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (.f64 y (.f64 y #s(literal 9/64 binary64))))))

Outputs
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Calls

4 calls:

45.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
8.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
99.8%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes12.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))

Outputs
(*.f64 #s(literal -3/8 binary64) y)
x
(*.f64 #s(literal -3/8 binary64) y)

Calls

2 calls:

10.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
76.0%	3	`x`
77.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.049151065325701e+19	6.432668955882851e+32
11.0ms	-8.415594566341755e+42	-3.057278267960629e+41

Results

15.0ms	247×	0	valid
2.0ms	15×	2	valid
1.0ms	9×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions

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

ival-sub: 3.0ms (36% of total)

ival-div: 2.0ms (24% of total)

ival-mult: 2.0ms (24% of total)

const: 1.0ms (12% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	19	23

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(if (<=.f64 y #s(literal -599999999999999965034425642576536326373376 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 599999999999999983783277232128 binary64)) x (.f64 #s(literal -3/8 binary64) y)))
x

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(if (<=.f64 y #s(literal -599999999999999965034425642576536326373376 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 599999999999999983783277232128 binary64)) x (.f64 #s(literal -3/8 binary64) y)))
(if (<=.f64 y #s(literal -599999999999999965034425642576536326373376 binary64)) (.f64 y #s(literal -3/8 binary64)) (if (<=.f64 y #s(literal 599999999999999983783277232128 binary64)) x (.f64 y #s(literal -3/8 binary64))))
x

soundness815.0ms (11.6%)

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
2620×	`/-lowering-/.f32`
2620×	`/-lowering-/.f64`
1744×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	20	7
2	175	7
3	1915	7
0	8511	7
0	23	138
1	66	120
2	186	120
3	499	120
4	1449	120
5	4063	120
6	6260	120
0	8008	120
0	8	5
1	15	5
2	25	4
3	41	4
4	59	4
5	100	4
6	181	4
7	285	4
8	364	4
9	561	4
10	681	4
11	695	4
0	695	4

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 79 to 49 computations (38% saved)

preprocess39.0ms (0.6%)

Compiler: Compiled 72 to 38 computations (47.2% saved)

analyze0.0ms (0%)

sample801.0ms (11.4%)

preprocess62.0ms (0.9%)

explain77.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize52.0ms (0.7%)

series2.0ms (0%)

rewrite322.0ms (4.6%)

simplify156.0ms (2.2%)

eval17.0ms (0.2%)

prune24.0ms (0.3%)

simplify187.0ms (2.7%)

localize155.0ms (2.2%)

series15.0ms (0.2%)

rewrite861.0ms (12.3%)

simplify287.0ms (4.1%)

eval247.0ms (3.5%)

prune162.0ms (2.3%)

simplify151.0ms (2.2%)

localize201.0ms (2.9%)

series27.0ms (0.4%)

rewrite315.0ms (4.5%)

simplify237.0ms (3.4%)

eval228.0ms (3.3%)

prune136.0ms (1.9%)

simplify122.0ms (1.7%)

localize319.0ms (4.6%)

series6.0ms (0.1%)

rewrite288.0ms (4.1%)

simplify153.0ms (2.2%)

eval148.0ms (2.1%)

prune84.0ms (1.2%)

regimes182.0ms (2.6%)

regimes72.0ms (1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

bsearch29.0ms (0.4%)

simplify8.0ms (0.1%)

soundness815.0ms (11.6%)

preprocess39.0ms (0.6%)

end0.0ms (0%)

Profiling