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)

sample786.0ms (10.3%)

Results

424.0ms	7604×	0	valid
45.0ms	145×	3	valid
43.0ms	224×	2	valid
33.0ms	283×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-div: 84.0ms (35.6% of total)

ival-mult: 69.0ms (29.3% of total)

ival-sub: 52.0ms (22.1% of total)

backward-pass: 16.0ms (6.8% of total)

const: 15.0ms (6.4% of total)

Bogosity

preprocess44.0ms (0.6%)

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)

explain102.0ms (1.3%)

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

61.0ms	472×	0	valid
7.0ms	20×	1	valid
4.0ms	16×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (28.1% of total)

ival-mult: 4.0ms (28.1% of total)

ival-sub: 3.0ms (21.1% of total)

const: 1.0ms (7% of total)

backward-pass: 1.0ms (7% 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
▶	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (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)

localize27.0ms (0.4%)

Localize:

Found 2 expressions of interest:

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

Results

17.0ms	236×	0	valid
2.0ms	8×	2	valid
1.0ms	10×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

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

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

backward-pass: 1.0ms (20% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite314.0ms (4.1%)

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)))

simplify307.0ms (4%)

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)

eval23.0ms (0.3%)

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

prune22.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	152	8	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	9	161

Accuracy

100.0%

Counts

161 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	56.3%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
	55.9%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (.f64 y #s(literal -3/8 binary64))))
	56.2%	(/.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))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	99.7%	(.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))))))
	54.1%	(*.f64 #s(literal -3/8 binary64) y)
▶	47.6%	x

Compiler

Compiled 205 to 131 computations (36.1% saved)

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2818×	`sum4-define`
2376×	`-lowering-.f32`
2376×	`-lowering-.f64`
1358×	`fma-define`
1270×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	58	92
2	131	90
3	368	90
4	2013	90
5	7577	90
0	8639	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize267.0ms (3.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.9%	(+.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 (-.f64 x (.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))
✓	accuracy	99.9%	(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 9/64 binary64)))
✓	accuracy	96.1%	(-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (*.f64 x x))
✓	accuracy	57.4%	(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (.f64 x x)) (-.f64 (.f64 y #s(literal -3/8 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.9%	(+.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

139.0ms	214×	0	valid
65.0ms	12×	2	valid
13.0ms	19×	1	valid
11.0ms	8×	3	valid
6.0ms	3×	5	exit

Compiler

Compiled 142 to 21 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.5% of total)

ival-div: 9.0ms (18.9% of total)

ival-sub: 7.0ms (14.7% of total)

compiled-spec: 6.0ms (12.6% of total)

backward-pass: 5.0ms (10.5% of total)

ival-add: 4.0ms (8.4% of total)

const: 1.0ms (2.1% of total)

series15.0ms (0.2%)

Counts

14 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite459.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

3042×	`-lowering-.f32`
3042×	`-lowering-.f64`
2534×	`/-lowering-/.f32`
2534×	`/-lowering-/.f64`
2080×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	132	57
2	1188	55
0	8606	55

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1307

Calls

Call 1

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

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

simplify280.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	2033
1	894	1824
2	2490	1764
0	8281	1764

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval269.0ms (3.5%)

Compiler: Compiled 72301 to 3052 computations (95.8% saved)

prune231.0ms (3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	2001	6	2007
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	2006	10	2016

Accuracy

100.0%

Counts

2016 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
	55.9%	(/.f64 (-.f64 (.f64 (.f64 (.f64 y #s(literal -3/8 binary64)) y) #s(literal -3/8 binary64)) (.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
▶	33.6%	(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
	88.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))))
▶	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	90.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
▶	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
▶	54.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	47.6%	x

Compiler

Compiled 174 to 117 computations (32.8% saved)

simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
✓	cost-diff	0	(*.f64 y #s(literal 9/64 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 9/64 binary64)))
✓	cost-diff	0	(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
✓	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)))
✓	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 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)))

Rules

2830×	`-lowering-.f32`
2830×	`-lowering-.f64`
1596×	`/-lowering-/.f32`
1596×	`/-lowering-/.f64`
1494×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	52	84
2	98	84
3	218	78
4	384	78
5	1740	78
6	5749	78
0	8240	78

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize366.0ms (4.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 y #s(literal -3/8 binary64)) x)
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 9/64 binary64)))
✓	accuracy	82.8%	(/.f64 (.f64 y (.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))
✓	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)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	accuracy	99.6%	(/.f64 #s(literal -8/3 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	accuracy	92.7%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))

Results

200.0ms	79×	5	exit
127.0ms	177×	0	valid

Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

...c/correct-round.rkt:119:19: 49.0ms (35.5% of total)

ival-div: 34.0ms (24.6% of total)

ival-mult: 23.0ms (16.7% of total)

backward-pass: 21.0ms (15.2% of total)

ival-add: 6.0ms (4.3% of total)

ival-sub: 3.0ms (2.2% of total)

const: 1.0ms (0.7% of total)

series17.0ms (0.2%)

Counts

14 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* x (+ 1 (/ (* -3/8 y) x)))
2.0ms	y	@	0	(* y (+ -3/8 (/ x y)))
0.0ms	y	@	-inf	(* y (+ -3/8 (/ x y)))
0.0ms	x	@	inf	(* y (+ -3/8 (/ x y)))
0.0ms	x	@	0	(* x (+ 1 (/ (* -3/8 y) x)))

rewrite327.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3964×	`/-lowering-/.f32`
3964×	`/-lowering-/.f64`
3554×	`-lowering-.f32`
3554×	`-lowering-.f64`
1470×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	126	65
2	1011	59
0	8656	59

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 899

Calls

Call 1

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

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

simplify502.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

3708×	`-lowering-.f32`
3708×	`-lowering-.f64`
1622×	`fnmsub-define`
1380×	`/-lowering-/.f32`
1380×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	1347
1	549	1235
2	1609	1217
3	5639	1210
0	8489	1210

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
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(/ x y)
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(* x (- (/ 1 y) (* 3/8 (/ 1 x))))
(/ x y)
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (* 3/8 (/ 1 x)) (/ 1 y))))
(/ x y)
(/ (+ x (* -3/8 y)) y)
(/ (+ x (* -3/8 y)) y)
(/ (+ x (* -3/8 y)) y)
-3/8
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
-3/8
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(- (/ x y) 3/8)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -3/8 y)
(* -3/8 y)
(* -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)
(* -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))
(* -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)))))
(* -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))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 (pow y 2))
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* -1 x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(- (* -3/8 y) x)
(* -3/8 y)
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* y (- (* -1 (/ x y)) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -1 (* y (+ 3/8 (/ x y))))
(* -3/8 y)
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(+ (* -1 x) (* -3/8 y))
(* -1 x)
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* x (- (* -3/8 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(* -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
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 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
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(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- (* -3/8 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (* -1 (/ x y)) 3/8))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (* -1 (/ x y)) 3/8))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (* -1 (/ 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 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (/ x y))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ (* -1 x) (* -3/8 y))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (- (* -3/8 (/ y x)) 1))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (+ 1 (* 3/8 (/ y x)))))
(-.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)

eval177.0ms (2.3%)

Compiler: Compiled 18372 to 2181 computations (88.1% saved)

prune153.0ms (2%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1227	5	1232
Fresh	1	1	2
Picked	1	4	5
Done	1	2	3
Total	1230	12	1242

Accuracy

100.0%

Counts

1242 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(/.f64 (*.f64 x #s(literal -3/8 binary64)) (/.f64 x y))
▶	54.0%	(/.f64 y #s(literal -8/3 binary64))
▶	88.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))))
✓	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
▶	53.9%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	43.1%	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	90.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
▶	43.0%	(.f64 x (.f64 #s(literal -3/8 binary64) (/.f64 y x)))
✓	54.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	47.6%	x

Compiler

Compiled 150 to 107 computations (28.7% saved)

simplify230.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 x #s(literal -3/8 binary64))
✓	cost-diff	256	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
✓	cost-diff	256	(.f64 x (.f64 #s(literal -3/8 binary64) (/.f64 y x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(/.f64 y #s(literal -8/3 binary64))
✓	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)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x))))
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))))

Rules

3846×	`-lowering-.f32`
3846×	`-lowering-.f64`
3086×	`associate-/r/`
2012×	`/-lowering-/.f32`
2012×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	44	82
2	82	82
3	198	70
4	360	70
5	620	70
6	1672	70
7	1923	70
8	1953	70
9	1955	70
10	1955	70
11	3980	70
12	4304	70
13	4424	70
14	4511	70
15	4551	70
16	4589	70
17	4629	70
18	4671	70
19	4715	70
20	4761	70
21	4809	70
22	6925	70
23	7511	70
0	8005	70

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize340.0ms (4.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(*.f64 x #s(literal -3/8 binary64))
✓	accuracy	86.0%	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.7%	(*.f64 #s(literal -3/8 binary64) (/.f64 y x))
✓	accuracy	86.0%	(.f64 x (.f64 #s(literal -3/8 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.7%	(/.f64 y #s(literal -8/3 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x))))
✓	accuracy	99.9%	(/.f64 (*.f64 #s(literal -3/8 binary64) y) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.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

210.0ms	79×	5	exit
60.0ms	177×	0	valid

Compiler

Compiled 105 to 20 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 44.0ms (34.8% of total)

ival-div: 40.0ms (31.6% of total)

...c/correct-round.rkt:119:19: 21.0ms (16.6% of total)

backward-pass: 17.0ms (13.4% of total)

ival-add: 4.0ms (3.2% of total)

const: 1.0ms (0.8% of total)

series6.0ms (0.1%)

Counts

13 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite294.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3792×	`-lowering-.f32`
3792×	`-lowering-.f64`
2982×	`/-lowering-/.f32`
2982×	`/-lowering-/.f64`
828×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	101	61
2	633	49
0	8705	49

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 853

Calls

Call 1

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

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

simplify297.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2250×	`fma-lowering-fma.f32`
2250×	`fma-lowering-fma.f64`
1960×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1271
1	519	1187
2	1430	1162
3	4404	1160
0	8243	1160

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))))
(/ -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 (/ (+ (* -9/64 (pow y 2)) (* -27/512 (/ (pow y 3) x))) 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)))))
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)
(* -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)
(/ 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)
(* -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))
(* -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))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -3/8 x)
(* -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))

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

eval138.0ms (1.8%)

Compiler: Compiled 16070 to 1916 computations (88.1% saved)

prune149.0ms (1.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1164	0	1164
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	1164	12	1176

Accuracy

100.0%

Counts

1176 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.0%	(/.f64 (*.f64 x #s(literal -3/8 binary64)) (/.f64 x y))
✓	54.0%	(/.f64 y #s(literal -8/3 binary64))
✓	88.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))))
✓	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	53.9%	(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	43.1%	(.f64 (.f64 x #s(literal -3/8 binary64)) (/.f64 y x))
✓	90.0%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)))
✓	43.0%	(.f64 x (.f64 #s(literal -3/8 binary64) (/.f64 y x)))
✓	54.1%	(*.f64 #s(literal -3/8 binary64) y)
✓	47.6%	x

Compiler

Compiled 284 to 127 computations (55.3% saved)

regimes29.0ms (0.4%)

Counts

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

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

Calls

4 calls:

8.0ms	y
7.0ms	(*.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)

regimes28.0ms (0.4%)

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
99.9%	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
x
(*.f64 #s(literal -3/8 binary64) y)
x

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
78.6%	3	`x`
77.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
47.6%	1	`y`
47.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.812051619316976e+73	1.7920371636487829e+90
18.0ms	-1.8791960561566012e+61	-5.724356247481417e+54

Results

15.0ms	279×	0	valid
2.0ms	17×	1	valid
1.0ms	8×	2	valid

Compiler

Compiled 204 to 163 computations (20.1% saved)

Precisions

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

ival-div: 2.0ms (26% of total)

ival-mult: 2.0ms (26% of total)

ival-sub: 2.0ms (26% of total)

const: 1.0ms (13% of total)

backward-pass: 1.0ms (13% of total)

simplify9.0ms (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 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) x (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -3/8 binary64) y) x))
x

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) x (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 #s(literal -3/8 binary64) y) x))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) x (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (*.f64 y #s(literal -3/8 binary64)) x))
x

soundness1.0s (13.3%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	20	7
2	177	7
3	1925	7
0	8564	7
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

Stop Event

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

Compiler

Compiled 77 to 49 computations (36.4% saved)

preprocess30.0ms (0.4%)

Compiler: Compiled 68 to 38 computations (44.1% saved)

analyze0.0ms (0%)

sample786.0ms (10.3%)

preprocess44.0ms (0.6%)

explain102.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.4%)

series2.0ms (0%)

rewrite314.0ms (4.1%)

simplify307.0ms (4%)

eval23.0ms (0.3%)

prune22.0ms (0.3%)

simplify183.0ms (2.4%)

localize267.0ms (3.5%)

series15.0ms (0.2%)

rewrite459.0ms (6%)

simplify280.0ms (3.7%)

eval269.0ms (3.5%)

prune231.0ms (3%)

simplify164.0ms (2.1%)

localize366.0ms (4.8%)

series17.0ms (0.2%)

rewrite327.0ms (4.3%)

simplify502.0ms (6.6%)

eval177.0ms (2.3%)

prune153.0ms (2%)

simplify230.0ms (3%)

localize340.0ms (4.4%)

series6.0ms (0.1%)

rewrite294.0ms (3.8%)

simplify297.0ms (3.9%)

eval138.0ms (1.8%)

prune149.0ms (1.9%)

regimes29.0ms (0.4%)

regimes28.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch35.0ms (0.5%)

simplify9.0ms (0.1%)

soundness1.0s (13.3%)

preprocess30.0ms (0.4%)

end0.0ms (0%)

Profiling