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)

sample947.0ms (14.3%)

Results

455.0ms	7629×	0	valid
59.0ms	284×	1	valid
33.0ms	206×	2	valid
30.0ms	137×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-div: 151.0ms (46.5% of total)

ival-mult: 74.0ms (22.8% of total)

ival-sub: 73.0ms (22.5% of total)

const: 15.0ms (4.6% of total)

backward-pass: 12.0ms (3.7% of total)

Bogosity

preprocess48.0ms (0.7%)

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)

explain72.0ms (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

33.0ms	456×	0	valid
5.0ms	28×	1	valid
3.0ms	12×	3	valid
3.0ms	16×	2	valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (42.6% of total)

ival-mult: 5.0ms (26.6% of total)

ival-sub: 3.0ms (16% of total)

const: 1.0ms (5.3% of total)

backward-pass: 1.0ms (5.3% 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)

localize32.0ms (0.5%)

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

22.0ms	228×	0	valid
2.0ms	14×	1	valid
1.0ms	8×	2	valid
1.0ms	6×	3	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-add: 2.0ms (37.8% of total)

ival-mult: 2.0ms (37.8% of total)

backward-pass: 1.0ms (18.9% of total)

const: 0.0ms (0% of total)

series3.0ms (0.1%)

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	(+ x (* y -3/8))
0.0ms	y	@	-inf	(* y -3/8)
0.0ms	y	@	inf	(* y -3/8)
0.0ms	x	@	inf	(+ x (* y -3/8))
0.0ms	x	@	0	(+ x (* y -3/8))

rewrite325.0ms (4.9%)

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	177	7
3	1925	7
0	8564	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 (/.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (/.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(-.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))))) (/.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.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 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (+.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (+.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (+.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 x x) (.f64 y (.f64 #s(literal -3/8 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 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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))
(/.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (+.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)))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))))) (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 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 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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))))))
(.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (+.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))))) (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 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))) (-.f64 (.f64 y (.f64 #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 y (.f64 y y)) (.f64 (.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (+.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 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 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)))

simplify155.0ms (2.3%)

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	6264	120
0	8007	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)

eval18.0ms (0.3%)

Compiler: Compiled 5059 to 416 computations (91.8% saved)

prune23.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	151	9	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	10	161

Accuracy

100.0%

Counts

161 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	30.7%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))
	49.9%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (.f64 y #s(literal -3/8 binary64))))
	49.8%	(/.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))))
▶	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)))
▶	49.8%	(.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))))))
	49.1%	(*.f64 #s(literal -3/8 binary64) y)
▶	52.6%	x

Compiler

Compiled 267 to 167 computations (37.5% saved)

simplify168.0ms (2.5%)

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 -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	128	(.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))))
✓	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

2688×	`sum4-define`
2298×	`-lowering-.f32`
2298×	`-lowering-.f64`
1504×	`sum3-define`
1396×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	55	100
2	143	95
3	432	95
4	2042	95
5	6983	95
0	8514	95

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

localize212.0ms (3.2%)

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	99.8%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	accuracy	94.2%	(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
✓	accuracy	50.4%	(.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))))
✓	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	99.7%	(/.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

84.0ms	15×	2	valid
69.0ms	207×	0	valid
11.0ms	11×	3	valid
10.0ms	23×	1	valid

Compiler

Compiled 152 to 20 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 21.0ms (42.7% of total)

compiled-spec: 10.0ms (20.3% of total)

ival-div: 7.0ms (14.2% of total)

ival-add: 5.0ms (10.2% of total)

backward-pass: 4.0ms (8.1% of total)

ival-sub: 2.0ms (4.1% of total)

const: 1.0ms (2% of total)

series12.0ms (0.2%)

Counts

12 → 264

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

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 (* -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)))) (+ (* -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)))>
#<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 (* -9/64 (pow y 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))>
#<alt (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) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* -9/64 (pow y 2))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))>
#<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))>

Calls

66 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (/ 1 (- x (* y -3/8))) (+ (* x x) (* (* y y) -9/64)))
1.0ms	x	@	-inf	(- x (* y -3/8))
1.0ms	y	@	0	(* (/ 1 (- x (* y -3/8))) (+ (* x x) (* (* y y) -9/64)))
1.0ms	y	@	inf	(* (/ 1 (- x (* y -3/8))) (+ (* x x) (* (* y y) -9/64)))
0.0ms	x	@	inf	(* (/ 1 (- x (* y -3/8))) (+ (* x x) (* (* y y) -9/64)))

rewrite471.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3352×	`-lowering-.f32`
3352×	`-lowering-.f64`
2990×	`/-lowering-/.f32`
2990×	`/-lowering-/.f64`
1416×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	115	50
2	1022	48
0	8721	48

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1534

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

Outputs
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (+.f64 x (.f64 y #s(literal 3/8 binary64)))) (/.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)))) (/.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -3/8 binary64)))
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(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (+.f64 x (.f64 y #s(literal 3/8 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 9/64 binary64)))
(neg.f64 (.f64 (.f64 y y) #s(literal 9/64 binary64)))
(.f64 y (.f64 y #s(literal -9/64 binary64)))
(.f64 y (neg.f64 (.f64 #s(literal -3/8 binary64) (*.f64 y #s(literal -3/8 binary64)))))
(.f64 #s(literal -3/8 binary64) (neg.f64 (.f64 y (*.f64 y #s(literal -3/8 binary64)))))
(.f64 (.f64 y #s(literal -3/8 binary64)) (*.f64 y #s(literal 3/8 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(.f64 #s(literal -9/64 binary64) (.f64 y y))
(.f64 (.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 y y) #s(literal 9/64 binary64)))
(.f64 (.f64 y #s(literal 3/8 binary64)) (*.f64 y #s(literal -3/8 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal -3/8 binary64) (*.f64 y #s(literal -3/8 binary64))))
(.f64 (.f64 y #s(literal -9/64 binary64)) y)
(.f64 #s(literal 9/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 9/64 binary64))
(.f64 #s(literal 3/8 binary64) (.f64 y (*.f64 y #s(literal -3/8 binary64))))
(.f64 (.f64 (*.f64 y #s(literal -3/8 binary64)) y) #s(literal 3/8 binary64))
(.f64 (.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (neg.f64 (.f64 (*.f64 y #s(literal -3/8 binary64)) y)) #s(literal -3/8 binary64))
(.f64 (neg.f64 (.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal -3/8 binary64))) y)

simplify760.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

4388×	`-lowering-.f32`
4388×	`-lowering-.f64`
1852×	`/-lowering-/.f32`
1852×	`/-lowering-/.f64`
1746×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	1859
1	865	1650
2	2398	1596
0	8180	1596

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)
(* -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)))) (+ (* -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)))
(* -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
(* -9/64 (pow y 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))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 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 x 2))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* -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))

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

eval303.0ms (4.6%)

Compiler: Compiled 85024 to 3573 computations (95.8% saved)

prune215.0ms (3.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2450	6	2456
Fresh	3	1	4
Picked	3	2	5
Done	0	1	1
Total	2456	10	2466

Accuracy

100.0%

Counts

2466 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	30.6%	(/.f64 (-.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 (*.f64 y #s(literal -3/8 binary64)) x))))
▶	49.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	25.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (.f64 y y) #s(literal -9/64 binary64)))
	49.1%	(.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)))))
▶	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
▶	88.1%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
▶	49.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	52.6%	x

Compiler

Compiled 206 to 135 computations (34.5% saved)

simplify179.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 14 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	0	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (.f64 y y) #s(literal -9/64 binary64)))
✓	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 -8/3 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) 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

3584×	`-lowering-.f32`
3584×	`-lowering-.f64`
1546×	`+-lowering-+.f64`
1546×	`+-lowering-+.f32`
1332×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	98
1	58	94
2	130	91
3	302	83
4	519	83
5	2109	83
6	7068	83
0	8159	83

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

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

localize250.0ms (3.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	80.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y #s(literal -3/8 binary64)))) (.f64 (.f64 y y) #s(literal -9/64 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	accuracy	92.3%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	accuracy	99.7%	(/.f64 #s(literal -8/3 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	100.0%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	99.9%	(/.f64 (*.f64 #s(literal -3/8 binary64) y) x)
✓	accuracy	93.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))

Results

158.0ms	99×	5	exit
47.0ms	157×	0	valid

Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

...c/correct-round.rkt:119:19: 33.0ms (25.6% of total)

ival-div: 31.0ms (24.1% of total)

ival-mult: 30.0ms (23.3% of total)

backward-pass: 18.0ms (14% of total)

ival-add: 12.0ms (9.3% of total)

ival-sub: 3.0ms (2.3% of total)

const: 1.0ms (0.8% of total)

series21.0ms (0.3%)

Counts

14 → 276

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

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 (* -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 (/ -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 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 (+ x (* -3/8 y))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))>
#<alt (+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)>
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))>
#<alt (* -9/64 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))>
#<alt (* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -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)))) (+ (* -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)))>
#<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 (* -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))>

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* y (+ -3/8 (/ x y)))
1.0ms	y	@	0	(* x (+ 1 (/ (* -3/8 y) x)))
1.0ms	x	@	0	(* x (+ 1 (/ (* -3/8 y) x)))
1.0ms	y	@	inf	(* x (+ 1 (/ (* -3/8 y) x)))
0.0ms	y	@	-inf	(* y (+ -3/8 (/ x y)))

rewrite444.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3598×	`-lowering-.f32`
3598×	`-lowering-.f64`
3570×	`/-lowering-/.f32`
3570×	`/-lowering-/.f64`
1606×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	76
1	134	72
2	1011	61
0	8680	61

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 763

Calls

Call 1

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

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

simplify423.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

5728×	`-lowering-.f32`
5728×	`-lowering-.f64`
1810×	`fma-lowering-fma.f32`
1810×	`fma-lowering-fma.f64`
1722×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	1748
1	927	1586
2	2652	1545
0	8631	1545

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)
(* -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 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)
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)
(+ x (* -3/8 y))
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))
(* -9/64 (/ (pow y 2) x))
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)
(* -9/64 (/ (pow y 2) x))
(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(* -9/64 (/ (pow y 2) x))
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -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)))) (+ (* -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)))
(* -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)
(* -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))

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 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 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 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* y (- (/ 1 y) (* 3/8 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -1 (* y (- (* 3/8 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(/ (+ x (* -3/8 y)) x)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(/ (+ x (* -3/8 y)) x)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
(/ (+ x (* -3/8 y)) x)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
1
#s(literal 1 binary64)
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(+ 1 (* -3/8 (/ y x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 y x)))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
(* -3/8 (/ y x))
(*.f64 #s(literal -3/8 binary64) (/.f64 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)
(* -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)
(/ -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)
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)
(+ 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 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x))))
-3/8
#s(literal -3/8 binary64)
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3/8 binary64) x)))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3/8 binary64) x)))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3/8 binary64) x)))
(/ x y)
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(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3/8 binary64) x)))
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(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -3/8 binary64) x)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -3/8 y)) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) y)
(/ (+ x (* -3/8 y)) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) y)
(/ (+ x (* -3/8 y)) y)
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) x) y)
-3/8
#s(literal -3/8 binary64)
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
(- (/ x y) 3/8)
(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
-3/8
#s(literal -3/8 binary64)
(- (/ x y) 3/8)
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(/ x y)
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(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))
(+.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -8/3 binary64) y)))))
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))
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(* -9/64 (/ (pow y 2) x))
(.f64 #s(literal -9/64 binary64) (/.f64 (.f64 y y) x))
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)
(.f64 y (.f64 y (+.f64 (/.f64 #s(literal -9/64 binary64) x) (/.f64 (*.f64 (/.f64 y x) #s(literal 27/512 binary64)) x))))
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -81/4096 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (/.f64 (.f64 y (.f64 #s(literal 27/512 binary64) (*.f64 y y))) x))) x)
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 #s(literal 27/512 binary64) (.f64 y y))) x) (+.f64 (/.f64 (.f64 #s(literal -81/4096 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 x x)) (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (/.f64 (.f64 #s(literal 243/32768 binary64) (pow.f64 y #s(literal 5 binary64))) (.f64 x (.f64 x x)))))) x)
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(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))
(.f64 y (.f64 y (+.f64 (/.f64 #s(literal -9/64 binary64) x) (/.f64 (*.f64 (/.f64 y x) #s(literal 27/512 binary64)) x))))
(* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -81/4096 binary64) (pow.f64 y #s(literal 4 binary64))) x) (.f64 y (.f64 #s(literal 27/512 binary64) (.f64 y y)))) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))
(/.f64 (+.f64 (.f64 (.f64 y y) #s(literal -9/64 binary64)) (/.f64 (+.f64 (.f64 y (.f64 #s(literal 27/512 binary64) (.f64 y y))) (/.f64 (+.f64 (.f64 #s(literal -81/4096 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 243/32768 binary64) (pow.f64 y #s(literal 5 binary64))) x)) x)) x)) x)
(* -9/64 (/ (pow y 2) x))
(.f64 #s(literal -9/64 binary64) (/.f64 (.f64 y y) x))
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))
(.f64 y (.f64 y (+.f64 (/.f64 #s(literal -9/64 binary64) x) (/.f64 (*.f64 (/.f64 y x) #s(literal 27/512 binary64)) x))))
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (.f64 y (+.f64 (/.f64 (.f64 (/.f64 y x) #s(literal -81/4096 binary64)) (.f64 x x)) (/.f64 #s(literal 27/512 binary64) (.f64 x x)))) (/.f64 #s(literal -9/64 binary64) x)))
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))
(.f64 (.f64 y y) (+.f64 (.f64 y (+.f64 (/.f64 #s(literal 27/512 binary64) (.f64 x x)) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 243/32768 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -81/4096 binary64) (.f64 x (.f64 x x))))))) (/.f64 #s(literal -9/64 binary64) 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 (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))
(.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -8/3 binary64) y)))) y)))
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))
(.f64 y (+.f64 (+.f64 (.f64 (/.f64 x (.f64 y y)) (.f64 (/.f64 (.f64 x x) y) #s(literal 64/9 binary64))) #s(literal -3/8 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -8/3 binary64) y)))) y)))
(* -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 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))
(.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -8/3 binary64) y)))) y)))
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))
(.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 x (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -8/3 binary64))) (.f64 #s(literal 64/9 binary64) (/.f64 (.f64 x (.f64 x x)) y))) y)) 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 #s(literal -64/9 binary64)) y)) 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) y) (.f64 x (+.f64 (/.f64 #s(literal -64/9 binary64) (.f64 y y)) (/.f64 (.f64 x #s(literal 512/27 binary64)) (.f64 y (*.f64 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 x 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 (+.f64 #s(literal 8/3 binary64) (/.f64 (.f64 x #s(literal -64/9 binary64)) y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (/.f64 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 y (/.f64 (*.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 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -27/512 binary64)) x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 y (/.f64 (*.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 #s(literal -3/8 binary64) (/.f64 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 y (/.f64 (*.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 y (.f64 y (+.f64 (/.f64 #s(literal -9/64 binary64) x) (/.f64 (.f64 (/.f64 y x) #s(literal 27/512 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 #s(literal -3/8 binary64) (/.f64 y x))) x)
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 (/.f64 #s(literal -3/8 binary64) (.f64 x x)) (*.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 (/.f64 y x) 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 #s(literal -3/8 binary64) (/.f64 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 #s(literal -64/9 binary64)) y)) 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 x (.f64 (/.f64 x y) #s(literal 512/27 binary64))) (*.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 #s(literal 8/3 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -4096/81 binary64)))) (.f64 y (.f64 y y)))) (/.f64 (+.f64 (.f64 x (.f64 (/.f64 x y) #s(literal 512/27 binary64))) (.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 #s(literal -64/9 binary64)) y)) 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 x (.f64 (/.f64 x y) #s(literal 512/27 binary64))) (*.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 x #s(literal -64/9 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (/.f64 (.f64 x x) y) #s(literal 4096/81 binary64))) (.f64 (.f64 x x) #s(literal -512/27 binary64))) y)) 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 y #s(literal 3/8 binary64)) x)))
(* x (+ 1 (* 3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)))
(* x (+ 1 (* 3/8 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) 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 x (*.f64 y #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* y (+ 3/8 (/ x y)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(+.f64 x (*.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)
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))
(* -9/64 (pow y 2))
(.f64 (.f64 y y) #s(literal -9/64 binary64))

eval176.0ms (2.7%)

Compiler: Compiled 16950 to 2014 computations (88.1% saved)

prune146.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1105	2	1107
Fresh	2	0	2
Picked	3	2	5
Done	1	2	3
Total	1111	6	1117

Accuracy

100.0%

Counts

1117 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 y #s(literal -8/3 binary64))
▶	49.1%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	49.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	52.6%	x

Compiler

Compiled 36 to 27 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	13	13
0	13	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -3/8 (/ 1 y))
-3/8
(/ 1 y)
1
y
(/ y -8/3)
y
-8/3

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

localize107.0ms (1.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y #s(literal -8/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))

Results

79.0ms	99×	5	exit
14.0ms	157×	0	valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 23.0ms (43.5% of total)

...c/correct-round.rkt:119:19: 22.0ms (41.6% of total)

backward-pass: 7.0ms (13.2% of total)

const: 1.0ms (1.9% of total)

series1.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 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
0.0ms	y	@	-inf	(/ 1 y)
0.0ms	y	@	0	(/ 1 y)
0.0ms	y	@	0	(/ -3/8 (/ 1 y))
0.0ms	y	@	-inf	(/ -3/8 (/ 1 y))
0.0ms	y	@	inf	(/ -3/8 (/ 1 y))

rewrite131.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`-lowering-.f32`
676×	`-lowering-.f64`
466×	`/-lowering-/.f32`
466×	`/-lowering-/.f64`
182×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	35	8
2	120	8
3	386	8
0	1916	8

Stop Event

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

Counts

3 → 216

Calls

Call 1

Inputs
(/ -3/8 (/ 1 y))
(/ 1 y)
(/ y -8/3)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -8/3 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(neg.f64 (/.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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 y))))
(/.f64 y #s(literal -8/3 binary64))
(/.f64 y #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -8/3 binary64) (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 8/3 binary64) (.f64 y y)))
(/.f64 (.f64 y y) (.f64 #s(literal -8/3 binary64) y))
(/.f64 (.f64 y y) (.f64 #s(literal 8/3 binary64) y))
(/.f64 (sqrt.f64 y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -3/8 binary64)))
(/.f64 (sqrt.f64 y) (*.f64 #s(literal 8/3 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sqrt.f64 y)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
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(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -3/8 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal -3/8 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 8/3 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal -8/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -3/8 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) y))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	96
1	9	96
0	9	96

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

eval46.0ms (0.7%)

Compiler: Compiled 2080 to 297 computations (85.7% saved)

prune29.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	252	6	258

Accuracy

100.0%

Counts

258 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 y #s(literal -8/3 binary64))
✓	49.1%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.8%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	87.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	49.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	52.6%	x

Compiler

Compiled 248 to 93 computations (62.5% saved)

regimes27.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
6.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
6.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
6.0ms	x

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)

regimes26.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
6.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
6.0ms	x
6.0ms	y

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)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
78.9%	3	`x`
80.2%	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
52.6%	1	`x`
52.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7203558733680584e+52	3.354976316003921e+53
17.0ms	-1.3088063108905112e+38	-3.6211100586841377e+27

Results

14.0ms	237×	0	valid
3.0ms	19×	2	valid
3.0ms	16×	1	valid

Compiler

Compiled 184 to 147 computations (20.1% saved)

Precisions

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

ival-mult: 5.0ms (49.5% of total)

ival-div: 2.0ms (19.8% of total)

ival-sub: 2.0ms (19.8% of total)

backward-pass: 1.0ms (9.9% of total)

const: 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 -19199999999999999397766292720251305984 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 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 -19199999999999999397766292720251305984 binary64)) (.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) x (.f64 #s(literal -3/8 binary64) y)))
(if (<=.f64 y #s(literal -19199999999999999397766292720251305984 binary64)) (.f64 y #s(literal -3/8 binary64)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) x (.f64 y #s(literal -3/8 binary64))))
x

soundness775.0ms (11.7%)

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	23	138
1	66	120
2	186	120
3	499	120
4	1449	120
5	4063	120
6	6264	120
0	8007	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
0	5	8
1	20	7
2	177	7
3	1925	7
0	8564	7

Stop Event

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

Compiler

Compiled 79 to 49 computations (38% saved)

preprocess27.0ms (0.4%)

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

analyze0.0ms (0%)

sample947.0ms (14.3%)

preprocess48.0ms (0.7%)

explain72.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize32.0ms (0.5%)

series3.0ms (0.1%)

rewrite325.0ms (4.9%)

simplify155.0ms (2.3%)

eval18.0ms (0.3%)

prune23.0ms (0.3%)

simplify168.0ms (2.5%)

localize212.0ms (3.2%)

series12.0ms (0.2%)

rewrite471.0ms (7.1%)

simplify760.0ms (11.5%)

eval303.0ms (4.6%)

prune215.0ms (3.2%)

simplify179.0ms (2.7%)

localize250.0ms (3.8%)

series21.0ms (0.3%)

rewrite444.0ms (6.7%)

simplify423.0ms (6.4%)

eval176.0ms (2.7%)

prune146.0ms (2.2%)

simplify5.0ms (0.1%)

localize107.0ms (1.6%)

series1.0ms (0%)

rewrite131.0ms (2%)

simplify8.0ms (0.1%)

eval46.0ms (0.7%)

prune29.0ms (0.4%)

regimes27.0ms (0.4%)

regimes26.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch31.0ms (0.5%)

simplify8.0ms (0.1%)

soundness775.0ms (11.7%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling