Metrics for Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3

analyze17.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (43% of total)

ival-mult: 3.0ms (43% of total)

ival-div: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

sample826.0ms (10.2%)

Results

623.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-sub: 145.0ms (39.9% of total)

ival-mult: 132.0ms (36.3% of total)

ival-div: 69.0ms (19% of total)

const: 15.0ms (4.1% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess193.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2034×	`-lowering-.f32`
2034×	`-lowering-.f64`
1966×	`sum5-define`
1614×	`times-frac`
1604×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	72
1	83	66
2	346	66
3	1594	66
4	7615	66
0	9	11
1	23	11
2	67	11
3	173	11
4	685	11
5	3184	11
0	8481	11

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs y)

explain77.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
0	-	-	`x`
0	-	-	`y`
0	-	-	`(-.f64 #s(literal 3 binary64) x)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`(*.f64 y #s(literal 3 binary64))`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`

Results

40.0ms

512×

valid

Compiler

Compiled 81 to 29 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (39.4% of total)

ival-sub: 6.0ms (33.8% of total)

ival-div: 4.0ms (22.5% of total)

const: 1.0ms (5.6% of total)

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

eval5.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify136.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	cost-diff	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Rules

2034×	`-lowering-.f32`
2034×	`-lowering-.f64`
1966×	`sum5-define`
1604×	`sum3-define`
1390×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	23	31
2	67	31
3	173	31
4	685	31
5	3184	31
0	8481	31

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize31.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

22.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-sub: 4.0ms (39.6% of total)

ival-mult: 4.0ms (39.6% of total)

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

const: 1.0ms (9.9% of total)

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

series6.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite668.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4072×	`-lowering-.f32`
4072×	`-lowering-.f64`
4002×	`/-lowering-/.f32`
4002×	`/-lowering-/.f64`
1836×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	54	27
2	433	27
3	7472	27
0	8263	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 628

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (-.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (.f64 (.f64 x (-.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y)) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -3 binary64))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal -3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal -3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)) y))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3 binary64) y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x))) (.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) y))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 y #s(literal -3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 3 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 3 binary64) (.f64 y (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 3 binary64) (.f64 y (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 27 binary64) (.f64 #s(literal 3 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))))
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(/.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (.f64 (+.f64 x #s(literal 3 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (.f64 x x)))) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal -3 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal -3 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (.f64 x x))) (+.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))) (+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x))
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal -3 binary64) x))))
(.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64)))))))
(.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 x #s(literal 3 binary64))))) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 729 binary64) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64))))))) (+.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 x (+.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (+.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 x #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))

simplify302.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2030×	`-lowering-.f32`
2030×	`-lowering-.f64`
1798×	`--lowering--.f32`
1798×	`--lowering--.f64`
1630×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	457
1	233	446
2	609	440
3	1845	414
4	5344	406
0	8219	406

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(+.f64 (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (/.f64 x (*.f64 y x)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(+.f64 (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (/.f64 x (*.f64 y x)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(+.f64 (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (/.f64 x (*.f64 y x)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(+.f64 (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (/.f64 x (*.f64 y x)))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 3 (* x (- x 4)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
(+ 3 (* x (- x 4)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

eval77.0ms (1%)

Compiler: Compiled 15820 to 1885 computations (88.1% saved)

prune106.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	690	10	700
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	690	11	701

Accuracy

100.0%

Counts

701 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
▶	56.5%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
	47.5%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	47.2%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
▶	47.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	49.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	49.6%	(/.f64 #s(literal 1 binary64) y)
	99.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
	99.6%	(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))
▶	53.7%	(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))

Compiler

Compiled 217 to 157 computations (27.6% saved)

simplify174.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	(*.f64 x #s(literal -4 binary64))
✓	cost-diff	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)))
✓	cost-diff	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	cost-diff	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	(/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
✓	cost-diff	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))

Rules

2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
1910×	`sum4-define`
1646×	`+-lowering-+.f64`
1646×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	99
1	59	97
2	126	97
3	239	97
4	586	95
5	2367	95
0	8772	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize114.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -4 binary64))
✓	accuracy	99.4%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	88.4%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))

Results

81.0ms

256×

valid

Compiler

Compiled 105 to 25 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 25.0ms (48.9% of total)

ival-div: 12.0ms (23.5% of total)

...c/correct-round.rkt:119:19: 7.0ms (13.7% of total)

ival-sub: 3.0ms (5.9% of total)

ival-add: 3.0ms (5.9% of total)

const: 1.0ms (2% of total)

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

series45.0ms (0.6%)

Counts

17 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(* (/ x y) (+ (* x 1/3) -4/3))
9.0ms	x	@	inf	(* (/ x y) (+ (* x 1/3) -4/3))
3.0ms	x	@	-inf	(* x 1/3)
2.0ms	x	@	0	(/ (* 1/3 (* x x)) y)
1.0ms	y	@	0	(* (/ x y) (+ (* x 1/3) -4/3))

rewrite364.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4192×	`/-lowering-/.f32`
4192×	`/-lowering-/.f64`
3560×	`-lowering-.f32`
3560×	`-lowering-.f64`
1708×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	82
1	153	80
2	1174	80
0	8550	80

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 817

Calls

Call 1

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

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

simplify217.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1952×	`fnmadd-define`
1826×	`fma-lowering-fma.f32`
1826×	`fma-lowering-fma.f64`
1754×	`fmsub-define`
1632×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1578
1	409	1494
2	1058	1448
3	3385	1442
0	8459	1442

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(+ 1 (* -1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(+ 1 (* -1/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (/ 1 x) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (/ 1 x) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x (- (/ 1 x) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (- 1/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
y
(+ y (* x y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(+ y (* x (- (* x y) (* -1 y))))
(.f64 y (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y))))
(+.f64 y (.f64 x (.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(/ (+ (* -1 y) (* -1 (/ y x))) x)
(*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) y) x)
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) y) x) y) x)
(* -1 (/ y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(* -1 (/ (+ y (/ y x)) x))
(*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) y) x)
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) y) x) y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -4/3 (/ x y))
(*.f64 #s(literal -4/3 binary64) (/.f64 x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -4/3 binary64) x))))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/.f64 (.f64 x (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 binary64)))) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-4/3
#s(literal -4/3 binary64)
(- (* 1/3 x) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* 1/3 x) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(- (* 1/3 x) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(+.f64 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(+ (* -4/3 (/ x y)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(+ (* -4/3 (/ x y)) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* -4/3 (/ x y))
(*.f64 #s(literal -4/3 binary64) (/.f64 x y))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* -4/3 (/ x y))
(*.f64 #s(literal -4/3 binary64) (/.f64 x y))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(+ 3 (* -4 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(+ 3 (* -4 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* x (- (* 3 (/ 1 x)) 4))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* x (- (* 3 (/ 1 x)) 4))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval194.0ms (2.4%)

Compiler: Compiled 18209 to 2313 computations (87.3% saved)

prune154.0ms (1.9%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1086	7	1093
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	1091	13	1104

Accuracy

100.0%

Counts

1104 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
	53.5%	(/.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 y x))
▶	99.6%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	56.5%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	56.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
✓	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
	47.5%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	47.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	49.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.6%	(/.f64 #s(literal 1 binary64) y)
	53.5%	(*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))
▶	11.0%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
▶	53.4%	(*.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))

Compiler

Compiled 204 to 145 computations (28.9% saved)

simplify146.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 3 binary64) x)
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
✓	cost-diff	(*.f64 #s(literal -4/3 binary64) x)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	cost-diff	(*.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
✓	cost-diff	(/.f64 y #s(literal 1/3 binary64))
✓	cost-diff	(/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))

Rules

1834×	`-lowering-.f32`
1834×	`-lowering-.f64`
1740×	`fmsub-define`
1702×	`fma-lowering-fma.f32`
1702×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	96
1	47	94
2	99	94
3	250	94
4	852	92
5	3589	92
0	8334	92

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize252.0ms (3.1%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
✓	accuracy	99.6%	(*.f64 #s(literal -4/3 binary64) x)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(*.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(/.f64 y #s(literal 1/3 binary64))

Results

168.0ms	87×	5	exit
42.0ms	169×	0	valid

Compiler

Compiled 99 to 22 computations (77.8% saved)

Precisions

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

ival-div: 54.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 27.0ms (22.8% of total)

backward-pass: 16.0ms (13.5% of total)

ival-mult: 11.0ms (9.3% of total)

ival-sub: 7.0ms (5.9% of total)

ival-add: 3.0ms (2.5% of total)

const: 1.0ms (0.8% of total)

series15.0ms (0.2%)

Counts

15 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ (+ 1 (* -4/3 x)) y)
0.0ms	y	@	0	(/ (+ 1 (* -4/3 x)) y)
0.0ms	y	@	-inf	(/ (/ y 1/3) (- 1 x))
0.0ms	y	@	inf	(/ (/ y 1/3) (- 1 x))
0.0ms	y	@	-inf	(/ y x)

rewrite355.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4900×	`-lowering-.f32`
4900×	`-lowering-.f64`
4128×	`/-lowering-/.f32`
4128×	`/-lowering-/.f64`
1392×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	133	73
2	1038	73
0	8449	73

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 931

Calls

Call 1

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

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

simplify267.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4046×	`-lowering-.f32`
4046×	`-lowering-.f64`
1984×	`+-lowering-+.f64`
1984×	`+-lowering-+.f32`
1614×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1585
1	329	1570
2	942	1554
3	2809	1516
0	8448	1516

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) y)
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 (/ y (- 1 x)))
(*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(+ (* 3 y) (* 3 (* x y)))
(.f64 y (+.f64 #s(literal 3 binary64) (.f64 x #s(literal 3 binary64))))
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))
(.f64 y (+.f64 #s(literal 3 binary64) (.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))))))
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))))
(.f64 (.f64 y (+.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(* -3 (/ y x))
(/.f64 (*.f64 y #s(literal -3 binary64)) x)
(/ (+ (* -3 y) (* -3 (/ y x))) x)
(*.f64 (/.f64 y x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) x)))
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x)
(/.f64 (+.f64 (.f64 y #s(literal -3 binary64)) (.f64 (/.f64 y x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) x)))) x)
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x)
(/.f64 (.f64 (+.f64 y (/.f64 y x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x)))) x)
(* -3 (/ y x))
(/.f64 (*.f64 y #s(literal -3 binary64)) x)
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))
(*.f64 (/.f64 y x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) x)))
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x))
(/.f64 (+.f64 (.f64 y #s(literal -3 binary64)) (.f64 (/.f64 y x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) x)))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x))
(/.f64 (.f64 (+.f64 y (/.f64 y x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -3 binary64) (.f64 x x)))) x)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
1
#s(literal 1 binary64)
(+ 1 (* -4/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(+ 1 (* -4/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(+ 1 (* -4/3 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (/ 1 x) 4/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* x (- (/ 1 x) 4/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* x (- (/ 1 x) 4/3))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -1 (* x (- 4/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* -1 (* x (- 4/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* -1 (* x (- 4/3 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval195.0ms (2.4%)

Compiler: Compiled 18811 to 2216 computations (88.2% saved)

prune157.0ms (1.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1271	4	1275
Fresh	2	2	4
Picked	1	4	5
Done	1	3	4
Total	1275	13	1288

Accuracy

100.0%

Counts

1288 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
✓	99.6%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	56.5%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	56.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
✓	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
▶	53.5%	(/.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))
	47.5%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	11.0%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
▶	53.5%	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
▶	49.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.6%	(/.f64 #s(literal 1 binary64) y)
▶	11.0%	(/.f64 #s(literal -4/3 binary64) (/.f64 y x))
✓	11.0%	(*.f64 (/.f64 x y) #s(literal -4/3 binary64))

Compiler

Compiled 167 to 119 computations (28.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 y (/.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -4/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	128	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -4/3 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 x (/.f64 x y))
✓	cost-diff	0	(/.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))

Rules

52×	`/-lowering-/.f32`
52×	`/-lowering-/.f64`
42×	`-lowering-.f32`
42×	`-lowering-.f64`
18×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	30	66
2	44	65
3	55	65
4	57	65
5	59	65
6	59	65
0	59	65

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x (/ x y)) 3)
(* x (/ x y))
x
(/ x y)
y
3
(/ -4/3 (/ y x))
-4/3
(/ y x)
y
x
(/ 3 (* y 3))
3
(* y 3)
y
(/ (* x -4/3) y)
(* x -4/3)
x
-4/3
y
(/ x (/ y (/ x 3)))
x
(/ y (/ x 3))
y
(/ x 3)
3

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

localize74.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 y (/.f64 x #s(literal 3 binary64)))
✓	accuracy	99.7%	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓	accuracy	99.5%	(*.f64 x #s(literal -4/3 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	98.8%	(/.f64 #s(literal -4/3 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(*.f64 x (/.f64 x y))
✓	accuracy	99.8%	(/.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))

Results

55.0ms

256×

valid

Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 18.0ms (59% of total)

ival-mult: 8.0ms (26.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite259.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3082×	`-lowering-.f32`
3082×	`-lowering-.f64`
3080×	`/-lowering-/.f32`
3080×	`/-lowering-/.f64`
1268×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	84	51
2	457	51
3	2906	51
0	8472	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 783

Calls

Call 1

Inputs
(/ (* x (/ x y)) 3)
(* x (/ x y))
(/ x y)
(/ -4/3 (/ y x))
(/ y x)
(/ 3 (* y 3))
(* y 3)
(/ (* x -4/3) y)
(* x -4/3)
(/ x (/ y (/ x 3)))
(/ y (/ x 3))
(/ x 3)

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

simplify30.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

66×	`-lowering-.f32`
66×	`-lowering-.f64`
28×	`*-commutative`
22×	`/-lowering-/.f32`
22×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1092
1	32	1092
2	40	1092
3	49	1092
4	58	1092
5	60	1092
0	60	1092

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

Calls

Call 1

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

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

eval131.0ms (1.6%)

Compiler: Compiled 10165 to 1579 computations (84.5% saved)

prune96.0ms (1.2%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	1019	4	1023
Fresh	0	1	1
Picked	1	4	5
Done	1	6	7
Total	1021	15	1036

Accuracy

100.0%

Counts

1036 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
	11.0%	(/.f64 (/.f64 x y) #s(literal -3/4 binary64))
	49.5%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
✓	99.6%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
✓	56.5%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	56.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y)
✓	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
✓	53.5%	(/.f64 (*.f64 x (/.f64 x y)) #s(literal 3 binary64))
	47.5%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	11.0%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓	53.5%	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
	11.0%	(/.f64 x (/.f64 y #s(literal -4/3 binary64)))
✓	49.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	49.6%	(/.f64 #s(literal 1 binary64) y)
	49.3%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))

Compiler

Compiled 321 to 161 computations (49.8% saved)

regimes47.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	y
9.0ms	(*.f64 y #s(literal 3 binary64))
9.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	x
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes53.0ms (0.7%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	x
10.0ms	(*.f64 y #s(literal 3 binary64))
9.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
9.0ms	y
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes39.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	y
8.0ms	x
7.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes24.0ms (0.3%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	y
7.0ms	x
6.0ms	(*.f64 y #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.9%	3	`x`
62.5%	4	`y`
62.5%	4	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes37.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
49.6%	1	`y`
49.6%	1	`(*.f64 y #s(literal 3 binary64))`
56.7%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))

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

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.6%	1	`y`
49.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch50.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.264237283207719e-8	166214212894.77695
13.0ms	-2.113818356680886	-0.30798685878342935

Results

16.0ms

256×

valid

Compiler

Compiled 370 to 285 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (45.5% of total)

ival-sub: 3.0ms (34.1% of total)

ival-div: 2.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.264237283207719e-8	166214212894.77695
13.0ms	-3922856.1023616	-2.113818356680886

Results

24.0ms

304×

valid

Compiler

Compiled 398 to 298 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 9.0ms (57.1% of total)

ival-mult: 4.0ms (25.4% of total)

ival-div: 2.0ms (12.7% of total)

const: 1.0ms (6.3% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.264237283207719e-8	166214212894.77695
13.0ms	-3922856.1023616	-2.113818356680886

Results

22.0ms

304×

valid

Compiler

Compiled 398 to 298 computations (25.1% saved)

Precisions

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

ival-mult: 8.0ms (57.9% of total)

ival-sub: 3.0ms (21.7% of total)

ival-div: 2.0ms (14.5% of total)

const: 1.0ms (7.2% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.264237283207719e-8	166214212894.77695
9.0ms	-2.113818356680886	-0.30798685878342935

Results

16.0ms

256×

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (41.8% of total)

ival-sub: 3.0ms (31.3% of total)

ival-div: 3.0ms (31.3% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.264237283207719e-8	166214212894.77695
10.0ms	-2.113818356680886	-0.30798685878342935

Results

20.0ms

256×

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 5.0ms (39.4% of total)

ival-sub: 4.0ms (31.5% of total)

ival-mult: 4.0ms (31.5% of total)

const: 1.0ms (7.9% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.264237283207719e-8	166214212894.77695
10.0ms	-2.113818356680886	-0.30798685878342935

Results

16.0ms

256×

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (52.9% of total)

ival-sub: 3.0ms (31.7% of total)

ival-div: 2.0ms (21.1% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-2.113818356680886	-0.30798685878342935

Results

6.0ms

96×

valid

Compiler

Compiled 102 to 79 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (31.3% of total)

ival-div: 1.0ms (31.3% of total)

ival-mult: 1.0ms (31.3% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	194
1	79	194
2	84	194
3	86	194
4	87	194

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) x)) y) (.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) x)) y) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) x)) y) (.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) x)) y) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4/3 binary64) x)) y) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -5291729562160333/1125899906842624 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7746191359077253/4503599627370496 binary64)) (.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.8s (22.1%)

Rules

4900×	`-lowering-.f32`
4900×	`-lowering-.f64`
4192×	`/-lowering-/.f32`
4192×	`/-lowering-/.f64`
4128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	54	27
2	433	27
3	7472	27
0	8263	27
0	21	75
1	133	73
2	1038	73
0	8449	73
0	136	1578
1	409	1494
2	1058	1448
3	3385	1442
0	8459	1442
0	24	82
1	153	80
2	1174	80
0	8550	80
0	78	457
1	233	446
2	609	440
3	1845	414
4	5344	406
0	8219	406

Stop Event

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

Compiler

Compiled 508 to 265 computations (47.8% saved)

preprocess122.0ms (1.5%)

Remove: (negabs y)
Compiler: Compiled 536 to 186 computations (65.3% saved)

analyze17.0ms (0.2%)

sample826.0ms (10.2%)

preprocess193.0ms (2.4%)

explain77.0ms (1%)

eval5.0ms (0.1%)

prune1.0ms (0%)

simplify136.0ms (1.7%)

localize31.0ms (0.4%)

series6.0ms (0.1%)

rewrite668.0ms (8.3%)

simplify302.0ms (3.7%)

eval77.0ms (1%)

prune106.0ms (1.3%)

simplify174.0ms (2.2%)

localize114.0ms (1.4%)

series45.0ms (0.6%)

rewrite364.0ms (4.5%)

simplify217.0ms (2.7%)

eval194.0ms (2.4%)

prune154.0ms (1.9%)

simplify146.0ms (1.8%)

localize252.0ms (3.1%)

series15.0ms (0.2%)

rewrite355.0ms (4.4%)

simplify267.0ms (3.3%)

eval195.0ms (2.4%)

prune157.0ms (1.9%)

simplify7.0ms (0.1%)

localize74.0ms (0.9%)

series7.0ms (0.1%)

rewrite259.0ms (3.2%)

simplify30.0ms (0.4%)

eval131.0ms (1.6%)

prune96.0ms (1.2%)

regimes47.0ms (0.6%)

regimes53.0ms (0.7%)

regimes39.0ms (0.5%)

regimes24.0ms (0.3%)

regimes37.0ms (0.5%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

bsearch50.0ms (0.6%)

bsearch38.0ms (0.5%)

bsearch36.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch30.0ms (0.4%)

bsearch28.0ms (0.3%)

bsearch10.0ms (0.1%)

simplify13.0ms (0.2%)

soundness1.8s (22.1%)

preprocess122.0ms (1.5%)

end0.0ms (0%)

Profiling