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)

sample1.1s (14.9%)

Results

743.0ms	7593×	0	valid
46.0ms	139×	3	valid
39.0ms	227×	2	valid
37.0ms	297×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-div: 89.0ms (35.4% of total)

ival-sub: 67.0ms (26.7% of total)

ival-mult: 62.0ms (24.7% of total)

const: 16.0ms (6.4% of total)

backward-pass: 16.0ms (6.4% of total)

Bogosity

preprocess47.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain122.0ms (1.7%)

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	482×	0	valid
4.0ms	6×	3	valid
4.0ms	8×	2	valid
3.0ms	16×	1	valid

Compiler

Compiled 53 to 23 computations (56.6% saved)

Precisions

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

ival-div: 9.0ms (48.6% of total)

ival-mult: 4.0ms (21.6% of total)

ival-sub: 3.0ms (16.2% of total)

const: 1.0ms (5.4% of total)

backward-pass: 1.0ms (5.4% 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)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

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

16.0ms	241×	0	valid
3.0ms	3×	3	valid
1.0ms	8×	1	valid
1.0ms	4×	2	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 (39.3% of total)

ival-add: 2.0ms (39.3% of total)

const: 1.0ms (19.7% of total)

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

series4.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite753.0ms (10.5%)

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)))

simplify139.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	66	120
2	186	120
3	499	120
4	1449	120
5	4063	120
6	6264	120
0	8007	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval18.0ms (0.2%)

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

prune20.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	6	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Accuracy

100.0%

Counts

161 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	53.5%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (.f64 y #s(literal -3/8 binary64))))
▶	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)))
	99.6%	(.f64 (+.f64 x (.f64 y #s(literal -3/8 binary64))) (.f64 (-.f64 x (.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))
▶	46.4%	(*.f64 #s(literal -3/8 binary64) y)
▶	54.3%	x

Compiler

Compiled 133 to 83 computations (37.6% saved)

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

2176×	`sum4-define`
2176×	`sum5-define`
1948×	`sum3-define`
1132×	`fmsub-define`
1084×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	36	71
2	66	69
3	100	69
4	154	69
5	257	69
6	429	69
7	617	69
8	954	69
9	2181	69
10	4341	69
11	7766	69
0	8022	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize146.0ms (2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	93.9%	(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
✓	accuracy	54.8%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (.f64 y #s(literal -3/8 binary64))))
✓	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%	(*.f64 #s(literal -3/8 binary64) y)
✓	accuracy	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)

Results

85.0ms	222×	0	valid
12.0ms	6×	5	exit
8.0ms	10×	2	valid
8.0ms	15×	1	valid
3.0ms	3×	3	valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sub: 21.0ms (36.7% of total)

ival-mult: 13.0ms (22.7% of total)

ival-div: 7.0ms (12.2% of total)

compiled-spec: 6.0ms (10.5% of total)

ival-add: 5.0ms (8.7% of total)

backward-pass: 4.0ms (7% of total)

const: 1.0ms (1.7% of total)

series49.0ms (0.7%)

Counts

11 → 216

Calls

Call 1

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

54 calls:

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

rewrite415.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3554×	`-lowering-.f32`
3554×	`-lowering-.f64`
3114×	`/-lowering-/.f32`
3114×	`/-lowering-/.f64`
1826×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	96	44
2	805	43
0	8845	43

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1089

Calls

Call 1

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

simplify242.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
1352×	`/-lowering-/.f32`
1352×	`/-lowering-/.f64`
1044×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	1183
1	566	991
2	1569	966
3	5193	966
0	8245	966

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 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))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) 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 -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
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eval172.0ms (2.4%)

Compiler: Compiled 44909 to 2113 computations (95.3% saved)

prune133.0ms (1.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1325	3	1328
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1327	8	1335

Accuracy

100.0%

Counts

1335 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	53.5%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (.f64 y #s(literal -3/8 binary64))))
▶	25.1%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (.f64 y #s(literal 3/8 binary64)))
▶	25.4%	(/.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
▶	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	46.4%	(*.f64 #s(literal -3/8 binary64) y)
✓	54.3%	x

Compiler

Compiled 73 to 51 computations (30.1% saved)

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (.f64 y #s(literal 3/8 binary64)))
✓	cost-diff	0	(-.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 (*.f64 y #s(literal -3/8 binary64))))
✓	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))

Rules

1536×	`fnmsub-define`
1476×	`fma-define`
1474×	`-lowering-.f32`
1474×	`-lowering-.f64`
886×	`times-frac`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	43	69
2	72	67
3	119	67
4	178	67
5	326	67
6	715	67
7	2114	67
8	5786	66
0	8261	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize217.0ms (3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.5%	(.f64 (.f64 y y) #s(literal -9/64 binary64))
✓	accuracy	95.8%	(+.f64 (.f64 x x) (.f64 (*.f64 y y) #s(literal -9/64 binary64)))
✓	accuracy	79.8%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) #s(literal -9/64 binary64))) (.f64 y #s(literal 3/8 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -9/64 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -3/8 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 y #s(literal -9/64 binary64)))
✓	accuracy	80.9%	(/.f64 (.f64 y (.f64 y #s(literal -9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	accuracy	99.6%	(/.f64 #s(literal -8/3 binary64) y)

Results

142.0ms	82×	5	exit
47.0ms	174×	0	valid

Compiler

Compiled 85 to 21 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

...c/correct-round.rkt:119:19: 22.0ms (25% of total)

ival-div: 21.0ms (23.8% of total)

ival-mult: 21.0ms (23.8% of total)

backward-pass: 18.0ms (20.4% of total)

ival-sub: 3.0ms (3.4% of total)

const: 2.0ms (2.3% of total)

ival-add: 2.0ms (2.3% of total)

series9.0ms (0.1%)

Counts

11 → 180

Calls

Call 1

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

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

45 calls:

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

rewrite318.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5030×	`-lowering-.f32`
5030×	`-lowering-.f64`
2912×	`/-lowering-/.f32`
2912×	`/-lowering-/.f64`
1420×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	103	53
2	796	51
0	8772	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 604

Calls

Call 1

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

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

simplify441.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

4396×	`-lowering-.f32`
4396×	`-lowering-.f64`
1794×	`/-lowering-/.f32`
1794×	`/-lowering-/.f64`
1574×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1300
1	568	1117
2	1640	1089
3	6179	1089
0	8100	1089

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ -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)
(* -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)
(* 3/8 y)
(- x (* -3/8 y))
(- x (* -3/8 y))
(- x (* -3/8 y))
x
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
(* x (+ 1 (* 3/8 (/ y x))))
x
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
(* -1 (* x (- (* -3/8 (/ y x)) 1)))
x
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(+ x (* 3/8 y))
(* 3/8 y)
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* y (+ 3/8 (/ x y)))
(* 3/8 y)
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -1 (* y (- (* -1 (/ x y)) 3/8)))
(* -3/8 y)
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))
(* 8/3 (/ (pow x 2) y))
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)
(* -3/8 y)
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))
(* -9/64 (pow y 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -9/64 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(+ (* -9/64 (pow y 2)) (pow x 2))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* -9/64 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 9/64))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 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 (pow y 2))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)

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

eval115.0ms (1.6%)

Compiler: Compiled 18457 to 1667 computations (91% saved)

prune89.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	780	4	784
Fresh	0	0	0
Picked	2	1	3
Done	2	3	5
Total	784	8	792

Accuracy

100.0%

Counts

792 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(/.f64 y (/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (*.f64 y #s(literal -9/64 binary64))))
▶	46.3%	(/.f64 y #s(literal -8/3 binary64))
✓	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
▶	46.3%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
▶	86.3%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	46.4%	(*.f64 #s(literal -3/8 binary64) y)
✓	54.3%	x

Compiler

Compiled 56 to 42 computations (25% saved)

simplify283.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 8/3 binary64))
✓	cost-diff	0	(+.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (*.f64 y #s(literal -9/64 binary64)))
✓	cost-diff	0	(/.f64 y (/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (*.f64 y #s(literal -9/64 binary64))))
✓	cost-diff	0	(/.f64 y #s(literal -8/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
✓	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

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
2322×	`fma-define`
2044×	`/-lowering-/.f32`
2044×	`/-lowering-/.f64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	34	67
2	54	67
3	72	65
4	83	63
5	93	63
6	121	63
7	201	63
8	730	60
9	1979	60
10	2316	60
11	2749	60
12	3039	60
13	3373	60
14	3825	60
15	6050	60
16	6451	60
17	6994	60
18	7889	60
0	8024	60

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

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

localize305.0ms (4.3%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -9/64 binary64))
✓	accuracy	99.8%	(/.f64 y (/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (*.f64 y #s(literal -9/64 binary64))))
✓	accuracy	99.8%	(/.f64 (+.f64 x (/.f64 y #s(literal 8/3 binary64))) (*.f64 y #s(literal -9/64 binary64)))
✓	accuracy	99.8%	(/.f64 y #s(literal 8/3 binary64))
✓	accuracy	99.8%	(/.f64 y #s(literal -8/3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -3/8 binary64) (/.f64 x y))
✓	accuracy	90.4%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))

Results

188.0ms	83×	5	exit
79.0ms	173×	0	valid

Compiler

Compiled 72 to 20 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 42.0ms (35.7% of total)

...c/correct-round.rkt:119:19: 40.0ms (34% of total)

backward-pass: 21.0ms (17.9% of total)

ival-mult: 7.0ms (6% of total)

ival-add: 6.0ms (5.1% of total)

const: 2.0ms (1.7% of total)

series14.0ms (0.2%)

Counts

11 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite300.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4214×	`-lowering-.f32`
4214×	`-lowering-.f64`
3714×	`/-lowering-/.f32`
3714×	`/-lowering-/.f64`
1032×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	105	52
2	790	48
0	8401	48

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 537

Calls

Call 1

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

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

simplify238.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3826×	`-lowering-.f32`
3826×	`-lowering-.f64`
1734×	`fnmsub-define`
1362×	`/-lowering-/.f32`
1362×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1068
1	575	986
2	1636	974
3	5720	961
0	8565	961

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval87.0ms (1.2%)

Compiler: Compiled 12687 to 1603 computations (87.4% saved)

prune81.0ms (1.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	739	2	741
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	740	9	749

Accuracy

100.0%

Counts

749 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(/.f64 y (/.f64 (.f64 y #s(literal 3/8 binary64)) (.f64 y #s(literal -9/64 binary64))))
✓	46.3%	(/.f64 y #s(literal -8/3 binary64))
✓	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
✓	46.3%	(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) y))
	99.8%	(-.f64 x (/.f64 y #s(literal 8/3 binary64)))
✓	99.9%	(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
✓	86.3%	(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y)))
✓	46.4%	(*.f64 #s(literal -3/8 binary64) y)
✓	54.3%	x

Compiler

Compiled 195 to 95 computations (51.3% saved)

regimes24.0ms (0.3%)

Counts

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

7.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
5.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
5.0ms	x
5.0ms	y

Results

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes29.0ms (0.4%)

Counts

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

10.0ms	y
8.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
5.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
5.0ms	x

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
79.2%	3	`x`
75.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

21.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
54.3%	1	`y`
54.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	9903583212471992000.0	8.479884857632283e+19
9.0ms	-2.5013847284712796e-62	-2.335223482994574e-63

Results

19.0ms	176×	0	valid
1.0ms	7×	2	valid
1.0ms	8×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 134 to 107 computations (20.1% saved)

Precisions

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

ival-div: 12.0ms (80.9% of total)

ival-sub: 1.0ms (6.7% of total)

ival-mult: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% 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 -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) x (if (<=.f64 x #s(literal 13000000000000000000 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 -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) x (if (<=.f64 x #s(literal 13000000000000000000 binary64)) (*.f64 #s(literal -3/8 binary64) y) x))
(if (<=.f64 x #s(literal -60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) x (if (<=.f64 x #s(literal 13000000000000000000 binary64)) (*.f64 y #s(literal -3/8 binary64)) x))
x

soundness934.0ms (13%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	138
1	66	120
2	186	120
3	499	120
4	1449	120
5	4063	120
6	6264	120
0	8007	120
0	8	5
1	15	5
2	25	4
3	41	4
4	59	4
5	100	4
6	181	4
7	285	4
8	364	4
9	561	4
10	681	4
11	695	4
0	695	4
0	5	8
1	20	7
2	177	7
3	1925	7
0	8564	7

Stop Event

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

Compiler

Compiled 77 to 49 computations (36.4% saved)

preprocess28.0ms (0.4%)

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

analyze0.0ms (0%)

sample1.1s (14.9%)

preprocess47.0ms (0.7%)

explain122.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize27.0ms (0.4%)

series4.0ms (0.1%)

rewrite753.0ms (10.5%)

simplify139.0ms (1.9%)

eval18.0ms (0.2%)

prune20.0ms (0.3%)

simplify97.0ms (1.4%)

localize146.0ms (2%)

series49.0ms (0.7%)

rewrite415.0ms (5.8%)

simplify242.0ms (3.4%)

eval172.0ms (2.4%)

prune133.0ms (1.9%)

simplify128.0ms (1.8%)

localize217.0ms (3%)

series9.0ms (0.1%)

rewrite318.0ms (4.4%)

simplify441.0ms (6.2%)

eval115.0ms (1.6%)

prune89.0ms (1.2%)

simplify283.0ms (4%)

localize305.0ms (4.3%)

series14.0ms (0.2%)

rewrite300.0ms (4.2%)

simplify238.0ms (3.3%)

eval87.0ms (1.2%)

prune81.0ms (1.1%)

regimes24.0ms (0.3%)

regimes29.0ms (0.4%)

regimes4.0ms (0.1%)

regimes23.0ms (0.3%)

bsearch30.0ms (0.4%)

simplify9.0ms (0.1%)

soundness934.0ms (13%)

preprocess28.0ms (0.4%)

end0.0ms (0%)

Profiling