Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

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 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample873.0ms (7.1%)

Results

465.0ms	7602×	0	valid
33.0ms	299×	1	valid
33.0ms	208×	2	valid
43.0ms	147×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-sub: 132.0ms (45.8% of total)

ival-div: 79.0ms (27.4% of total)

ival-add: 46.0ms (16% of total)

backward-pass: 20.0ms (6.9% of total)

const: 11.0ms (3.8% of total)

Bogosity

preprocess83.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
182×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- x y) 2))

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

Call 2

Inputs
(+ x (/ (- x y) 2))
(+ (neg x) (/ (- (neg x) y) 2))
(+ x (/ (- x (neg y)) 2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(neg (+ x (/ (- x (neg y)) 2)))
(+ y (/ (- y x) 2))

Outputs
(+ x (/ (- x y) 2))
(+ (* y -1/2) (* x 3/2))
(+ (neg x) (/ (- (neg x) y) 2))
(- (* (+ x y) -1/2) x)
(+ x (/ (- x (neg y)) 2))
(+ x (* (+ x y) 1/2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(+ x (* (+ x y) 1/2))
(neg (+ x (/ (- x (neg y)) 2)))
(- (* (+ x y) -1/2) x)
(+ y (/ (- y x) 2))
(+ y (* (- x y) -1/2))

explain81.0ms (0.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (-.f64 x y) #s(literal 2 binary64))`

Results

48.0ms	476×	0	valid
3.0ms	14×	2	valid
2.0ms	12×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 51 to 26 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 10.0ms (42.7% of total)

ival-add: 7.0ms (29.9% of total)

ival-sub: 4.0ms (17.1% of total)

backward-pass: 2.0ms (8.5% of total)

const: 1.0ms (4.3% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize50.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(/.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	9	17
0	9	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2

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

Results

19.0ms	238×	0	valid
2.0ms	7×	2	valid
1.0ms	6×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 20 to 14 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.3% of total)

ival-mult: 4.0ms (36.3% of total)

ival-add: 2.0ms (18.1% of total)

const: 1.0ms (9.1% of total)

backward-pass: 1.0ms (9.1% of total)

series6.0ms (0%)

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (* x 3/2)>
#<alt (/ y -2)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (/ y -2) (* x 3/2))
0.0ms	x	@	inf	(* x 3/2)
0.0ms	y	@	0	(+ (/ y -2) (* x 3/2))
0.0ms	x	@	-inf	(* x 3/2)
0.0ms	y	@	inf	(/ y -2)

rewrite690.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5576×	`accelerator-lowering-fma.f32`
5576×	`accelerator-lowering-fma.f64`
3980×	`-lowering-.f32`
3980×	`-lowering-.f64`
3542×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	32	13
2	261	13
3	4072	13
0	9043	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 178

Calls

Call 1

Inputs
(+ (/ y -2) (* x 3/2))
(* x 3/2)
(/ y -2)

Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 4 binary64) y))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 y (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 4 binary64) y))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 y (/.f64 (.f64 #s(literal 1/4 binary64) y) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (/.f64 y #s(literal -2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (/.f64 y (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -27/8 binary64)))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (+.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3/2 binary64))) (exp.f64 (log.f64 x)) (/.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))))))
(neg.f64 (/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 y (/.f64 #s(literal 4 binary64) y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(exp.f64 (log.f64 (*.f64 x #s(literal 3/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 1 binary64)))
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(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3/2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/2 binary64))) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (/.f64 y #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -2 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) y))))
(pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) y)))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
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(*.f64 #s(literal -1/2 binary64) y)
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(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)))

simplify365.0ms (3%)

Algorithm

1×	egg-herbie

Rules

3792×	`-lowering-.f32`
3792×	`-lowering-.f64`
3682×	`accelerator-lowering-fma.f32`
3682×	`accelerator-lowering-fma.f64`
2096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	216
1	67	216
2	175	216
3	381	216
4	659	216
5	1554	216
6	3680	216
7	6147	216
8	7426	216
0	8001	198

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval100.0ms (0.8%)

Compiler: Compiled 5192 to 3044 computations (41.4% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	219	7	226
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	8	227

Accuracy

100.0%

Counts

227 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
▶	54.0%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
	35.6%	(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
	99.2%	(.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
▶	52.8%	(*.f64 #s(literal 3/2 binary64) x)
▶	48.4%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 233 to 173 computations (25.8% saved)

localize587.0ms (4.8%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(/.f64 y (/.f64 #s(literal 4 binary64) y))
✓	cost-diff	0	(-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(/.f64 y #s(literal -2 binary64))
✓	cost-diff	6272	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 9/4 binary64))
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 4 binary64) y))
✓	accuracy	94.5%	(-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))
✓	accuracy	55.5%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 3/2 binary64))
✓	accuracy	99.9%	(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))

Rules

3804×	`accelerator-lowering-fma.f32`
3804×	`accelerator-lowering-fma.f64`
2824×	`-lowering-.f32`
2824×	`-lowering-.f64`
1172×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	111
1	50	111
2	102	111
3	196	111
4	355	111
5	800	111
6	2209	111
7	3685	111
8	4549	111
9	5006	111
10	5169	111
11	5227	111
12	5235	111
13	5995	111
14	6807	111
15	7170	111
16	7449	111
17	7584	111
18	7665	111
19	7724	111
0	8032	103

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x 3/2) (/ y -2))
x
3/2
(/ y -2)
y
-2
(* -1/2 y)
-1/2
(* 3/2 x)
(/ 1 (/ 1 (- (* x 3/2) (/ y 2))))
1
(/ 1 (- (* x 3/2) (/ y 2)))
(- (* x 3/2) (/ y 2))
(* x 3/2)
(/ y 2)
2
(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
(- (/ y (/ 4 y)) (* (* x x) 9/4))
(/ y (/ 4 y))
(/ 4 y)
4
(* (* x x) 9/4)
(* x x)
9/4
(+ (/ y -2) (* x -3/2))
(* x -3/2)
-3/2

Outputs
(+ (* x 3/2) (/ y -2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
x
3/2
#s(literal 3/2 binary64)
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(/ 1 (/ 1 (- (* x 3/2) (/ y 2))))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (- (* x 3/2) (/ y 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))
(- (* x 3/2) (/ y 2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
(/ y 2)
(/.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
(/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (.f64 x #s(literal -9/4 binary64)))) (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(- (/ y (/ 4 y)) (* (* x x) 9/4))
(+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (.f64 x #s(literal -9/4 binary64))))
(/ y (/ 4 y))
(/.f64 y (/.f64 #s(literal 4 binary64) y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
(* (* x x) 9/4)
(.f64 x (.f64 x #s(literal 9/4 binary64)))
(* x x)
(*.f64 x x)
9/4
#s(literal 9/4 binary64)
(+ (/ y -2) (* x -3/2))
(-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(* x -3/2)
(*.f64 x #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)

Results

122.0ms	218×	0	valid
15.0ms	16×	1	valid
13.0ms	10×	2	valid
13.0ms	8×	3	valid
9.0ms	4×	5	exit

Compiler

Compiled 129 to 84 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 65.0ms (51.5% of total)

ival-mult: 29.0ms (23% of total)

backward-pass: 9.0ms (7.1% of total)

ival-sub: 8.0ms (6.3% of total)

const: 5.0ms (4% of total)

<compiled-spec>: 5.0ms (4% of total)

ival-add: 5.0ms (4% of total)

series24.0ms (0.2%)

Counts

13 → 228

Calls

Call 1

Inputs
#<alt (/ y -2)>
#<alt (+ (* x 3/2) (/ y -2))>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (/ 1 (- (* x 3/2) (/ y 2)))>
#<alt (/ 1 (/ 1 (- (* x 3/2) (/ y 2))))>
#<alt (- (* x 3/2) (/ y 2))>
#<alt (* x 3/2)>
#<alt (/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))>
#<alt (- (/ y (/ 4 y)) (* (* x x) 9/4))>
#<alt (/ y (/ 4 y))>
#<alt (* (* x x) 9/4)>
#<alt (/ 4 y)>

Outputs
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (/ -2 y)>
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (/ 2/3 x)>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* -6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)>
#<alt (/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))>
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -9/4 (pow x 2))>
#<alt (- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* -9/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* -9/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
1.0ms	y	@	0	(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
1.0ms	x	@	-inf	(/ 1 (- (* x 3/2) (/ y 2)))
1.0ms	x	@	inf	(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
0.0ms	y	@	inf	(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))

rewrite765.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

6040×	`/-lowering-/.f32`
6040×	`/-lowering-/.f64`
5404×	`-lowering-.f32`
5404×	`-lowering-.f64`
4782×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	142	73
2	1272	73
0	9156	67

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1241

Calls

Call 1

Inputs
(/ y -2)
(+ (* x 3/2) (/ y -2))
(* -1/2 y)
(* 3/2 x)
(/ 1 (- (* x 3/2) (/ y 2)))
(/ 1 (/ 1 (- (* x 3/2) (/ y 2))))
(- (* x 3/2) (/ y 2))
(* x 3/2)
(/ (- (/ y (/ 4 y)) (* (* x x) 9/4)) (+ (/ y -2) (* x -3/2)))
(- (/ y (/ 4 y)) (* (* x x) 9/4))
(/ y (/ 4 y))
(* (* x x) 9/4)
(/ 4 y)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 y #s(literal 2 binary64)))
(/.f64 y #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -2 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 y) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 x #s(literal -3/2 binary64))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal -3/2 binary64)))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 4 binary64) y))) (neg.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 y (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 4 binary64) y))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/16 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))))) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))))) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (-.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal 3/2 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 81/16 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64)))) (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 x #s(literal -3/2 binary64))))) (/.f64 (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal 2 binary64)) (neg.f64 (.f64 x #s(literal -3/2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 64 binary64) (.f64 y (.f64 y y)))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) (/.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))
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(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 4 binary64) y)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y)))
(*.f64 (/.f64 y #s(literal 4 binary64)) y)
(*.f64 (/.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 y y) #s(literal 1/4 binary64))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 4 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 y y))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 y #s(literal -2 binary64)) y) #s(literal -1/2 binary64))
(.f64 (.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -1/2 binary64)) y)
(.f64 (.f64 (/.f64 y #s(literal 2 binary64)) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 y #s(literal -4 binary64)) (neg.f64 y))
(*.f64 (/.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/4 binary64) (/.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (/.f64 y #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 9/4 binary64)))
(.f64 x (.f64 #s(literal 3/2 binary64) (*.f64 x #s(literal 3/2 binary64))))
(.f64 x (.f64 #s(literal -3/2 binary64) (*.f64 x #s(literal -3/2 binary64))))
(.f64 #s(literal 3/2 binary64) (.f64 x (*.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) #s(literal 9/4 binary64))
(.f64 #s(literal 9/4 binary64) (.f64 x x))
(.f64 #s(literal -3/2 binary64) (.f64 x (*.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(.f64 (.f64 x #s(literal 9/4 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 3/2 binary64)) x) #s(literal 3/2 binary64))
(.f64 (.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -3/2 binary64)) x) #s(literal -3/2 binary64))
(.f64 (.f64 (*.f64 x #s(literal -3/2 binary64)) #s(literal -3/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))

simplify855.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

15982×	`accelerator-lowering-fma.f32`
15982×	`accelerator-lowering-fma.f64`
5226×	`-lowering-.f32`
5226×	`-lowering-.f64`
1944×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	1558
1	525	1546
2	1356	1532
3	3691	1490
0	8272	1364

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(/ -2 y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(/ 2/3 x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* -6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -9/4 (pow x 2))
(- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))
(- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))
(- (* 1/4 (pow y 2)) (* 9/4 (pow x 2)))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (* -9/4 (/ (pow x 2) (pow y 2)))))
(* 1/4 (pow y 2))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(+ (* -9/4 (pow x 2)) (* 1/4 (pow y 2)))
(* -9/4 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* -9/4 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 2))) 9/4))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 1/4 (pow y 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y)
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
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(.f64 (.f64 x x) #s(literal 9/4 binary64))
(* 9/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/4 binary64))
(* 9/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/4 binary64))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)

eval591.0ms (4.8%)

Compiler: Compiled 46423 to 29784 computations (35.8% saved)

prune224.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1501	4	1505
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1504	9	1513

Accuracy

100.0%

Counts

1513 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
▶	27.8%	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
▶	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
▶	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
▶	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
▶	99.2%	(.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
✓	52.8%	(*.f64 #s(literal 3/2 binary64) x)
✓	48.4%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 165 to 129 computations (21.8% saved)

localize1.5s (12.4%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -9/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -9/4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 2/9 binary64)) x)
✓	cost-diff	0	(+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
✓	cost-diff	0	(/.f64 #s(literal 2/3 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
✓	cost-diff	0	(*.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	cost-diff	1024	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
✓	cost-diff	1152	(.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
✓	accuracy	100.0%	(*.f64 x #s(literal -3/2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9/4 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -9/4 binary64)))
✓	accuracy	77.7%	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
✓	accuracy	99.8%	(/.f64 (*.f64 y #s(literal 2/9 binary64)) x)
✓	accuracy	99.7%	(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
✓	accuracy	99.6%	(*.f64 y #s(literal 2/9 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 2/3 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
✓	accuracy	100.0%	(*.f64 x #s(literal -3/2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
✓	accuracy	99.4%	(.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))

Rules

19516×	`accelerator-lowering-fma.f32`
19516×	`accelerator-lowering-fma.f64`
3802×	`-lowering-.f32`
3802×	`-lowering-.f64`
1786×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	125
1	61	121
2	105	119
3	302	119
4	1589	119
5	5259	119
0	8219	111

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (- (* x 3/2) (/ y 2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(- (* x 3/2) (/ y 2))
(* x 3/2)
x
3/2
(/ y 2)
y
2
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
(+ (/ y -2) (* x -3/2))
(/ y -2)
-2
(* x -3/2)
-3/2
(/ 1 (+ (/ y -2) (* x -3/2)))
1
(/ 1 (/ -2 y))
(/ -2 y)
(/ 1 (/ 2/3 x))
(/ 2/3 x)
2/3
(/ 1 (/ (+ 2/3 (/ (* y 2/9) x)) x))
(/ (+ 2/3 (/ (* y 2/9) x)) x)
(+ 2/3 (/ (* y 2/9) x))
(/ (* y 2/9) x)
(* y 2/9)
2/9
(/ (* x (* x -9/4)) (+ (/ y -2) (* x -3/2)))
(* x (* x -9/4))
(* x -9/4)
-9/4

Outputs
(* (- (* x 3/2) (/ y 2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(- (* x 3/2) (/ y 2))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
#s(literal 1 binary64)
(+ (/ y -2) (* x -3/2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* x -3/2)
(*.f64 x #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)
(/ 1 (+ (/ y -2) (* x -3/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
1
#s(literal 1 binary64)
(/ 1 (/ -2 y))
(/.f64 y #s(literal -2 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ 1 (/ 2/3 x))
(*.f64 x #s(literal 3/2 binary64))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
2/3
#s(literal 2/3 binary64)
(/ 1 (/ (+ 2/3 (/ (* y 2/9) x)) x))
(/.f64 x (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)))
(/ (+ 2/3 (/ (* y 2/9) x)) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
(+ 2/3 (/ (* y 2/9) x))
(+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x))
(/ (* y 2/9) x)
(/.f64 (*.f64 y #s(literal 2/9 binary64)) x)
(* y 2/9)
(*.f64 y #s(literal 2/9 binary64))
2/9
#s(literal 2/9 binary64)
(/ (* x (* x -9/4)) (+ (/ y -2) (* x -3/2)))
(/.f64 (.f64 #s(literal -9/4 binary64) (.f64 x x)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(* x (* x -9/4))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* x -9/4)
(*.f64 x #s(literal -9/4 binary64))
-9/4
#s(literal -9/4 binary64)

Results

136.0ms	176×	0	valid
295.0ms	80×	5	exit

Compiler

Compiled 188 to 134 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-div: 128.0ms (38.6% of total)

backward-pass: 96.0ms (29% of total)

ival-mult: 70.0ms (21.1% of total)

ival-add: 23.0ms (6.9% of total)

const: 10.0ms (3% of total)

ival-sub: 5.0ms (1.5% of total)

series73.0ms (0.6%)

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))>
#<alt (/ 1 (+ (/ y -2) (* x -3/2)))>
#<alt (- (* x 3/2) (/ y 2))>
#<alt (* x -3/2)>
#<alt (/ 1 (/ -2 y))>
#<alt (/ -2 y)>
#<alt (/ 2/3 x)>
#<alt (/ 1 (/ 2/3 x))>
#<alt (/ 1 (/ (+ 2/3 (/ (* y 2/9) x)) x))>
#<alt (* y 2/9)>
#<alt (/ (+ 2/3 (/ (* y 2/9) x)) x)>
#<alt (/ (* y 2/9) x)>
#<alt (/ (* x (* x -9/4)) (+ (/ y -2) (* x -3/2)))>
#<alt (* x (* x -9/4))>
#<alt (* x -9/4)>
#<alt (* (- (* x 3/2) (/ y 2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))>
#<alt (* x 3/2)>
#<alt (+ 2/3 (/ (* y 2/9) x))>
#<alt (+ (/ y -2) (* x -3/2))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ -2/3 x)>
#<alt (- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* 6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)>
#<alt (/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* -6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))>
#<alt (/ -2 y)>
#<alt (- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ -2/3 x)>
#<alt (/ (- (* 2/9 (/ y x)) 2/3) x)>
#<alt (/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)>
#<alt (/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)>
#<alt (/ -2/3 x)>
#<alt (* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))>
#<alt (* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))>
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (- (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))) (* 27/2 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* -243/2 (/ (pow x 5) (pow y 3))) (* 9/2 (pow x 2))) (+ (* -81/2 (/ (pow x 4) (pow y 2))) (* 27/2 (/ (pow x 3) y)))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (- (* 81/2 (/ (pow x 4) y)) (* 27/2 (pow x 3))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (- (* -1 (/ (- (* 243/2 (/ (pow x 5) y)) (* 81/2 (pow x 4))) y)) (* 27/2 (pow x 3))) y))) y))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (* 2/9 y)>
#<alt (/ 2/3 x)>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (* 2/9 (/ y (pow x 2)))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* 2/9 (/ y (pow x 2)))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))>
#<alt (* 2/9 (/ y (pow x 2)))>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 2/9 (/ y x))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt 2/3>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (* 2/9 (/ y x))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* 2/9 (/ y x))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))>
#<alt (* 2/9 (/ y x))>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) x)>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) x)>
#<alt (/ (+ (* 2/9 y) (* 2/3 x)) x)>
#<alt 2/3>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt 2/3>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (+ 2/3 (* 2/9 (/ y x)))>
#<alt (* -3/2 x)>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* -3/2 (/ x y)) 1/2))>
#<alt (* y (- (* -3/2 (/ x y)) 1/2))>
#<alt (* y (- (* -3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (+ (* -3/2 x) (* -1/2 y))>
#<alt (* -3/2 x)>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* x (- (* -1/2 (/ y x)) 3/2))>
#<alt (* -3/2 x)>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))>

Calls

87 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(/ (* y 2/9) x)
2.0ms	y	@	0	(* y 2/9)
0.0ms	y	@	inf	(/ (+ 2/3 (/ (* y 2/9) x)) x)
0.0ms	y	@	inf	(/ 1 (/ (+ 2/3 (/ (* y 2/9) x)) x))
0.0ms	x	@	-inf	(/ (+ 2/3 (/ (* y 2/9) x)) x)

rewrite646.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

7596×	`accelerator-lowering-fma.f32`
7596×	`accelerator-lowering-fma.f64`
3918×	`-lowering-.f32`
3918×	`-lowering-.f64`
3668×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	105
1	166	103
2	1375	103
0	8821	95

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1213

Calls

Call 1

Inputs
(* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2))))
(/ 1 (+ (/ y -2) (* x -3/2)))
(- (* x 3/2) (/ y 2))
(* x -3/2)
(/ 1 (/ -2 y))
(/ -2 y)
(/ 2/3 x)
(/ 1 (/ 2/3 x))
(/ 1 (/ (+ 2/3 (/ (* y 2/9) x)) x))
(* y 2/9)
(/ (+ 2/3 (/ (* y 2/9) x)) x)
(/ (* y 2/9) x)
(/ (* x (* x -9/4)) (+ (/ y -2) (* x -3/2)))
(* x (* x -9/4))
(* x -9/4)
(* (- (* x 3/2) (/ y 2)) (* (+ (/ y -2) (* x -3/2)) (/ 1 (+ (/ y -2) (* x -3/2)))))
(* x 3/2)
(+ 2/3 (/ (* y 2/9) x))
(+ (/ y -2) (* x -3/2))

Outputs
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(-.f64 (/.f64 (/.f64 y #s(literal -2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (/.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (/.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 x (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (.f64 x #s(literal -9/4 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (/.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x #s(literal 9/4 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (/.f64 (/.f64 y (.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(/.f64 (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64))))
(/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(.f64 (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 y y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (*.f64 y y)) #s(literal -8 binary64)))))
(.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(*.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 y y) #s(literal 4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal 2/3 binary64)))
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(.f64 (+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal -2/3 binary64) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (*.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (.f64 y y) #s(literal 4 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 y y) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (+.f64 (.f64 (/.f64 x #s(literal -2/3 binary64)) (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)))) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (/.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64))))

simplify733.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

11292×	`accelerator-lowering-fma.f32`
11292×	`accelerator-lowering-fma.f64`
4842×	`-lowering-.f32`
4842×	`-lowering-.f64`
2362×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	346	2526
1	986	2498
2	2535	2446
3	6642	2444
0	8118	2266

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/ -2/3 x)
(- (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(- (* y (+ (* -2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(- (* y (+ (* y (- (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* 6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* -6 (/ x y)))) y)
(/ (- (* 54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* -6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* -6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* -6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* -54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* -6 x)) y))) y))
(/ -2 y)
(- (* 6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (+ (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (+ (* x (- (* 54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ -2/3 x)
(/ (- (* 2/9 (/ y x)) 2/3) x)
(/ (- (* -2/27 (/ (pow y 2) (pow x 2))) (+ 2/3 (* -2/9 (/ y x)))) x)
(/ (- (* 2/81 (/ (pow y 3) (pow x 3))) (+ 2/3 (+ (* -2/9 (/ y x)) (* 2/27 (/ (pow y 2) (pow x 2)))))) x)
(/ -2/3 x)
(* -1 (/ (+ 2/3 (* -2/9 (/ y x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -2/27 (/ (pow y 2) x)) (* -2/9 y)) x))) x))
(* -1 (/ (+ 2/3 (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* -2/27 (pow y 2))) x)) (* -2/9 y)) x))) x))
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (- (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))) (* 27/2 (/ (pow x 3) y))) y)
(/ (- (+ (* -243/2 (/ (pow x 5) (pow y 3))) (* 9/2 (pow x 2))) (+ (* -81/2 (/ (pow x 4) (pow y 2))) (* 27/2 (/ (pow x 3) y)))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (- (* 81/2 (/ (pow x 4) y)) (* 27/2 (pow x 3))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (- (* -1 (/ (- (* 243/2 (/ (pow x 5) y)) (* 81/2 (pow x 4))) y)) (* 27/2 (pow x 3))) y))) y))
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(* 2/9 y)
(/ 2/3 x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(* 2/9 (/ y (pow x 2)))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* 2/9 (/ y (pow x 2)))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* y (+ (* 2/3 (/ 1 (* x y))) (* 2/9 (/ 1 (pow x 2)))))
(* 2/9 (/ y (pow x 2)))
(/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))
(/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))
(/ (+ (* 2/9 y) (* 2/3 x)) (pow x 2))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 2/9 (/ y x))
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
2/3
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
(* 2/9 (/ y x))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* 2/9 (/ y x))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* y (+ (* 2/9 (/ 1 x)) (* 2/3 (/ 1 y))))
(* 2/9 (/ y x))
(/ (+ (* 2/9 y) (* 2/3 x)) x)
(/ (+ (* 2/9 y) (* 2/3 x)) x)
(/ (+ (* 2/9 y) (* 2/3 x)) x)
2/3
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
2/3
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
(+ 2/3 (* 2/9 (/ y x)))
(* -3/2 x)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -1/2 y)
(* y (- (* -3/2 (/ x y)) 1/2))
(* y (- (* -3/2 (/ x y)) 1/2))
(* y (- (* -3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* 3/2 (/ x y)))))
(* -1/2 y)
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(+ (* -3/2 x) (* -1/2 y))
(* -3/2 x)
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* x (- (* -1/2 (/ y x)) 3/2))
(* -3/2 x)
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 3/2 (* 1/2 (/ y x)))))

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

eval986.0ms (8%)

Compiler: Compiled 57838 to 40600 computations (29.8% saved)

prune483.0ms (3.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	2036	7	2043
Fresh	0	0	0
Picked	4	1	5
Done	1	3	4
Total	2041	11	2052

Accuracy

100.0%

Counts

2052 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 y #s(literal 2 binary64))))
▶	28.1%	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (*.f64 x #s(literal -3/2 binary64)))
	52.3%	(/.f64 x (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (*.f64 x #s(literal -9/4 binary64))))
▶	52.7%	(/.f64 x #s(literal 2/3 binary64))
▶	52.8%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
▶	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
▶	99.8%	(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓	52.8%	(*.f64 #s(literal 3/2 binary64) x)
✓	48.4%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 172 to 135 computations (21.5% saved)

localize927.0ms (7.5%)

Algorithm

1×	egg-herbie

Localize:

Found 26 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -3/2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -9/4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -9/4 binary64)))
✓	cost-diff	384	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (*.f64 x #s(literal -3/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 x #s(literal 2/3 binary64))
✓	cost-diff	0	(/.f64 x #s(literal -2/3 binary64))
✓	cost-diff	0	(/.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -3/2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -9/4 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -9/4 binary64)))
✓	accuracy	67.7%	(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (*.f64 x #s(literal -3/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 x #s(literal 2/3 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
✓	accuracy	99.8%	(/.f64 x #s(literal -2/3 binary64))

Rules

6222×	`accelerator-lowering-fma.f32`
6222×	`accelerator-lowering-fma.f64`
4040×	`-lowering-.f32`
4040×	`-lowering-.f64`
2900×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	42	51
2	96	51
3	247	51
4	934	51
5	2062	51
6	3201	51
7	7594	51
0	8544	50

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ y -2) (/ x -2/3))
(/ y -2)
y
-2
(/ x -2/3)
x
-2/3
(/ x 2/3)
2/3
(/ 3/2 (/ 1 x))
3/2
(/ 1 x)
1
(/ 1 (/ (/ 1 x) 3/2))
(/ (/ 1 x) 3/2)
(/ (* x (* x -9/4)) (* x -3/2))
(* x (* x -9/4))
(* x -9/4)
-9/4
(* x -3/2)
-3/2

Outputs
(- (/ y -2) (/ x -2/3))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(/ x -2/3)
(/.f64 x #s(literal -2/3 binary64))
x
-2/3
#s(literal -2/3 binary64)
(/ x 2/3)
(*.f64 x #s(literal 3/2 binary64))
2/3
#s(literal 2/3 binary64)
(/ 3/2 (/ 1 x))
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ 1 (/ (/ 1 x) 3/2))
(*.f64 x #s(literal 3/2 binary64))
(/ (/ 1 x) 3/2)
(/.f64 #s(literal 2/3 binary64) x)
(/ (* x (* x -9/4)) (* x -3/2))
(*.f64 x #s(literal 3/2 binary64))
(* x (* x -9/4))
(/.f64 x (/.f64 #s(literal -4/9 binary64) x))
(* x -9/4)
(/.f64 x #s(literal -4/9 binary64))
-9/4
#s(literal -9/4 binary64)
(* x -3/2)
(/.f64 x #s(literal -2/3 binary64))
-3/2
#s(literal -3/2 binary64)

Results

51.0ms	176×	0	valid
157.0ms	80×	5	exit

Compiler

Compiled 77 to 54 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-div: 66.0ms (45.9% of total)

backward-pass: 50.0ms (34.8% of total)

ival-mult: 21.0ms (14.6% of total)

const: 5.0ms (3.5% of total)

ival-sub: 3.0ms (2.1% of total)

series14.0ms (0.1%)

Counts

12 → 156

Calls

Call 1

Inputs
#<alt (/ x -2/3)>
#<alt (- (/ y -2) (/ x -2/3))>
#<alt (/ y -2)>
#<alt (/ x 2/3)>
#<alt (/ 3/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (/ 1 x) 3/2)>
#<alt (/ 1 (/ (/ 1 x) 3/2))>
#<alt (/ (* x (* x -9/4)) (* x -3/2))>
#<alt (* x (* x -9/4))>
#<alt (* x -9/4)>
#<alt (* x -3/2)>

Outputs
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* 3/2 x)>
#<alt (- (* -1/2 y) (* -3/2 x))>
#<alt (- (* -1/2 y) (* -3/2 x))>
#<alt (- (* -1/2 y) (* -3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 (pow x 2))>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -9/4 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>
#<alt (* -3/2 x)>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	y	@	0	(- (/ y -2) (/ x -2/3))
0.0ms	x	@	0	(/ 3/2 (/ 1 x))
0.0ms	x	@	0	(/ 1 (/ (/ 1 x) 3/2))

rewrite501.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5284×	`accelerator-lowering-fma.f32`
5284×	`accelerator-lowering-fma.f64`
4752×	`-lowering-.f32`
4752×	`-lowering-.f64`
3590×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	113	42
2	754	42
0	8517	41

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1167

Calls

Call 1

Inputs
(/ x -2/3)
(- (/ y -2) (/ x -2/3))
(/ y -2)
(/ x 2/3)
(/ 3/2 (/ 1 x))
(/ 1 x)
(/ (/ 1 x) 3/2)
(/ 1 (/ (/ 1 x) 3/2))
(/ (* x (* x -9/4)) (* x -3/2))
(* x (* x -9/4))
(* x -9/4)
(* x -3/2)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2/3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2/3 binary64))) (/.f64 x #s(literal 2/3 binary64)))
(neg.f64 (/.f64 x #s(literal 2/3 binary64)))
(/.f64 x #s(literal -2/3 binary64))
(/.f64 x (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal 4/9 binary64) x)))
(/.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -2/3 binary64)) (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -2/3 binary64) x)))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 4/9 binary64) x) x)))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal -4/9 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -9/4 binary64)) #s(literal 3/2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2/3 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (/.f64 x #s(literal -2/3 binary64)))
(/.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 x x) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal -4/9 binary64)))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -3/2 binary64))
(/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) x)
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) (*.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal -2/3 binary64)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) #s(literal -3/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x)) #s(literal -4/9 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x x))) (/.f64 x #s(literal -9/4 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal 3/2 binary64)) x)
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal -9/4 binary64)) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x #s(literal -9/4 binary64))) #s(literal -2/3 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal -4/9 binary64) x))) (/.f64 #s(literal -2/3 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal 4/9 binary64) x))) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x #s(literal -3/2 binary64))) #s(literal -9/4 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 (*.f64 x x) #s(literal -3/2 binary64))) (/.f64 #s(literal -9/4 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x #s(literal 9/4 binary64))) #s(literal 2/3 binary64))
(/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -3/2 binary64))
(*.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x #s(literal -9/4 binary64)))
(*.f64 #s(literal 3/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -2/3 binary64) x)))
(*.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(*.f64 #s(literal -9/4 binary64) (neg.f64 (/.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 x #s(literal -9/4 binary64)) #s(literal 2/3 binary64))
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(/.f64 (*.f64 x #s(literal 9/4 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8/27 binary64)) (/.f64 x #s(literal -2/3 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) #s(literal 2/3 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 2/3 binary64)) #s(literal -2/3 binary64))
(/.f64 (.f64 (.f64 x #s(literal 9/4 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal 3/2 binary64))
(/.f64 (.f64 (.f64 x #s(literal -9/4 binary64)) (/.f64 x #s(literal -2/3 binary64))) #s(literal -3/2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x #s(literal -2/3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) (/.f64 x #s(literal -2/3 binary64))) x)
(pow.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal -2/3 binary64) x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal -9/4 binary64)))
(.f64 x (.f64 #s(literal 3/2 binary64) (/.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 3/2 binary64) (/.f64 x (/.f64 #s(literal -2/3 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(.f64 #s(literal -9/4 binary64) (.f64 (/.f64 x #s(literal -3/2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (.f64 x #s(literal -9/4 binary64)) x)
(.f64 (.f64 x #s(literal -9/4 binary64)) (*.f64 #s(literal -2/3 binary64) (/.f64 x #s(literal -2/3 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal 1 binary64))
(.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 x #s(literal -2/3 binary64))))
(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 x x) #s(literal 2/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 4/9 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 9/4 binary64)))
(.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8/27 binary64)))
(*.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 x #s(literal -2/3 binary64)))
(.f64 (.f64 x x) #s(literal -9/4 binary64))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 3/2 binary64) x) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 9/4 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal 9/4 binary64)) (*.f64 #s(literal 2/3 binary64) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (/.f64 x #s(literal -3/2 binary64)) (.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -3/2 binary64)) (*.f64 (/.f64 #s(literal -9/4 binary64) x) (/.f64 x #s(literal -2/3 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 x #s(literal -2/3 binary64))))
(.f64 #s(literal 9/4 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) #s(literal 3/2 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal -3/2 binary64))
(.f64 (.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal -3/2 binary64)) x)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal 9/4 binary64)))
(neg.f64 (*.f64 x #s(literal 9/4 binary64)))
(/.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 4/9 binary64) x)))
(/.f64 (/.f64 x #s(literal -2/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4/9 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 4/9 binary64) x) x)))
(/.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -9/4 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4/9 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -4/9 binary64) x)))
(/.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/9 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/9 binary64)))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2/3 binary64)))
(/.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal -4/9 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -9/4 binary64))
(.f64 x (.f64 x (/.f64 #s(literal -9/4 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -9/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(*.f64 #s(literal -9/4 binary64) x)
(.f64 (.f64 x #s(literal -9/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 9/4 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal -9/4 binary64) x))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 9/4 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2/3 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2/3 binary64))) (/.f64 x #s(literal 2/3 binary64)))
(neg.f64 (/.f64 x #s(literal 2/3 binary64)))
(/.f64 x #s(literal -2/3 binary64))
(/.f64 x (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal 4/9 binary64) x)))
(/.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -2/3 binary64)) (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 #s(literal -2/3 binary64) x)))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2/3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -2/3 binary64)) (/.f64 (/.f64 #s(literal 4/9 binary64) x) x)))
(/.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal -4/9 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -9/4 binary64)) #s(literal 3/2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x #s(literal 2/3 binary64)))
(/.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2/3 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (/.f64 x #s(literal -2/3 binary64)))
(/.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 x x) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 4/9 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal -4/9 binary64)))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -3/2 binary64))
(/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) x)
(/.f64 (/.f64 x (/.f64 #s(literal -2/3 binary64) x)) (*.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal -2/3 binary64)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) (.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) #s(literal -3/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x)) #s(literal -4/9 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x x))) (/.f64 x #s(literal -9/4 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal 3/2 binary64)) x)
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal -9/4 binary64)) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x #s(literal -9/4 binary64))) #s(literal -2/3 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal -4/9 binary64) x))) (/.f64 #s(literal -2/3 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal 4/9 binary64) x))) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x #s(literal -3/2 binary64))) #s(literal -9/4 binary64))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 (*.f64 x x) #s(literal -3/2 binary64))) (/.f64 #s(literal -9/4 binary64) x))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (*.f64 x #s(literal 9/4 binary64))) #s(literal 2/3 binary64))
(/.f64 (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -3/2 binary64))
(*.f64 (/.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 x #s(literal -9/4 binary64)))
(*.f64 #s(literal 3/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal -2/3 binary64) x)))
(*.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 x (/.f64 #s(literal -4/9 binary64) x)))
(*.f64 #s(literal -9/4 binary64) (neg.f64 (/.f64 x #s(literal -3/2 binary64))))
(.f64 (.f64 x #s(literal -9/4 binary64)) #s(literal 2/3 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal -3/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 4/9 binary64) x)) (/.f64 #s(literal -2/3 binary64) x))
(*.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 x (/.f64 #s(literal 4/9 binary64) x)))
(*.f64 (/.f64 x #s(literal 2/3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x x) (neg.f64 (/.f64 #s(literal 3/2 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 3/2 binary64) x))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal -2/3 binary64))
(*.f64 (/.f64 x #s(literal -3/2 binary64)) #s(literal 9/4 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -3/2 binary64)) (neg.f64 (/.f64 #s(literal -9/4 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 9/4 binary64) (/.f64 x #s(literal -3/2 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2/3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 x #s(literal -3/2 binary64))) #s(literal -9/4 binary64))
(.f64 (neg.f64 (/.f64 (.f64 x x) #s(literal -3/2 binary64))) (/.f64 #s(literal -9/4 binary64) x))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2/3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x)) #s(literal -9/4 binary64))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (.f64 x #s(literal -9/4 binary64))) #s(literal -3/2 binary64))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal -4/9 binary64) x))) (/.f64 x #s(literal -2/3 binary64)))
(*.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 x (/.f64 #s(literal 4/9 binary64) x))) (/.f64 x #s(literal 2/3 binary64)))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (.f64 x #s(literal 9/4 binary64))) #s(literal 3/2 binary64))
(.f64 (/.f64 (/.f64 x (/.f64 #s(literal -4/9 binary64) x)) (/.f64 (.f64 x x) #s(literal 2/3 binary64))) x)

simplify301.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3238×	`-lowering-.f32`
3238×	`-lowering-.f64`
3214×	`accelerator-lowering-fma.f32`
3214×	`accelerator-lowering-fma.f64`
2184×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	564
1	86	564
2	195	564
3	418	564
4	767	564
5	1683	564
6	4226	564
7	6731	564
0	8125	546

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* 3/2 x)
(- (* -1/2 y) (* -3/2 x))
(- (* -1/2 y) (* -3/2 x))
(- (* -1/2 y) (* -3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 (pow x 2))
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -9/4 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)
(* -3/2 x)

Outputs
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(- (* -1/2 y) (* -3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(- (* -1/2 y) (* -3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(- (* -1/2 y) (* -3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 (pow x 2))
(.f64 #s(literal -9/4 binary64) (.f64 x x))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -9/4 x)
(*.f64 x #s(literal -9/4 binary64))
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)
(* -3/2 x)
(*.f64 #s(literal -3/2 binary64) x)

eval395.0ms (3.2%)

Compiler: Compiled 15991 to 10868 computations (32% saved)

prune160.0ms (1.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1357	2	1359
Fresh	2	0	2
Picked	2	3	5
Done	0	4	4
Total	1361	9	1370

Accuracy

100.0%

Counts

1370 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(/.f64 x #s(literal 2/3 binary64))
✓	52.8%	(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
	52.8%	(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
✓	99.8%	(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
✓	99.9%	(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
	52.6%	(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))
✓	52.8%	(*.f64 #s(literal 3/2 binary64) x)
✓	48.4%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 278 to 205 computations (26.3% saved)

regimes23.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (*.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
(/.f64 x (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (*.f64 x #s(literal -9/4 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))

Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))

Calls

3 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(-.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (*.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
(/.f64 x (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2/3 binary64))) (*.f64 x #s(literal -9/4 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2/3 binary64) x)) (/.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 (.f64 x x) #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal -8 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 4 binary64) y)) (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 y #s(literal -3/4 binary64))))))

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

Calls

3 calls:

16.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
7.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Calls

3 calls:

4.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

8 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))

Outputs
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -4/9 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)

Calls

2 calls:

11.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
79.2%	5	`x`
77.4%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 5

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(.f64 (.f64 x #s(literal 9/4 binary64)) #s(literal 2/3 binary64))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
79.2%	5	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)

Outputs
(*.f64 #s(literal -1/2 binary64) y)

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
48.4%	1	`y`
48.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch72.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.2629142593259365e-36	9.773677482306133e-33
18.0ms	-2.4127440410289463e-44	-1.375151294024721e-51
16.0ms	-4.433420845414632e+30	-17459657486198264.0
16.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

33.0ms	528×	0	valid
3.0ms	27×	1	valid
4.0ms	19×	2	valid
0.0ms	2×	3	valid

Compiler

Compiled 484 to 408 computations (15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 7.0ms (40.3% of total)

ival-div: 5.0ms (28.8% of total)

ival-add: 3.0ms (17.3% of total)

backward-pass: 2.0ms (11.5% of total)

const: 1.0ms (5.8% of total)

bsearch64.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.2629142593259365e-36	9.773677482306133e-33
19.0ms	-2.4127440410289463e-44	-1.375151294024721e-51
14.0ms	-4.433420845414632e+30	-17459657486198264.0
14.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

26.0ms	535×	0	valid
3.0ms	23×	1	valid
10.0ms	15×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 446 to 370 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

backward-pass: 9.0ms (40.1% of total)

ival-div: 5.0ms (22.3% of total)

ival-sub: 5.0ms (22.3% of total)

ival-add: 3.0ms (13.4% of total)

const: 1.0ms (4.5% of total)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 89 to 63 computations (29.2% saved)

preprocess50.0ms (0.4%)

Compiler: Compiled 214 to 152 computations (29% saved)

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

analyze0.0ms (0%)

sample873.0ms (7.1%)

preprocess83.0ms (0.7%)

explain81.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.4%)

series6.0ms (0%)

rewrite690.0ms (5.6%)

simplify365.0ms (3%)

eval100.0ms (0.8%)

prune31.0ms (0.3%)

localize587.0ms (4.8%)

series24.0ms (0.2%)

rewrite765.0ms (6.2%)

simplify855.0ms (6.9%)

eval591.0ms (4.8%)

prune224.0ms (1.8%)

localize1.5s (12.4%)

series73.0ms (0.6%)

rewrite646.0ms (5.2%)

simplify733.0ms (5.9%)

eval986.0ms (8%)

prune483.0ms (3.9%)

localize927.0ms (7.5%)

series14.0ms (0.1%)

rewrite501.0ms (4.1%)

simplify301.0ms (2.4%)

eval395.0ms (3.2%)

prune160.0ms (1.3%)

regimes23.0ms (0.2%)

regimes30.0ms (0.2%)

regimes11.0ms (0.1%)

regimes20.0ms (0.2%)

regimes5.0ms (0%)

regimes1.0ms (0%)

bsearch72.0ms (0.6%)

bsearch64.0ms (0.5%)

soundness1.0ms (0%)

preprocess50.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6