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

analyze25.0ms (0.3%)

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: 14.0ms

ival-mult: 10.0ms (72.9% of total)

ival-sub: 3.0ms (21.9% of total)

ival-div: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

sample830.0ms (9.1%)

Results

599.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 123.0ms (39% of total)

ival-sub: 110.0ms (34.9% of total)

ival-div: 65.0ms (20.6% of total)

const: 15.0ms (4.8% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess246.0ms (2.7%)

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)

explain101.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(/.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

73.0ms

512×

valid

Compiler

Compiled 81 to 29 computations (64.2% saved)

Precisions

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

ival-mult: 7.0ms (40.8% of total)

ival-sub: 6.0ms (35% of total)

ival-div: 4.0ms (23.3% of total)

const: 1.0ms (5.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(/.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)

simplify180.0ms (2%)

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

localize38.0ms (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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	95.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

26.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-sub: 3.0ms (34.4% of total)

ival-mult: 3.0ms (34.4% of total)

ival-div: 2.0ms (23% of total)

const: 1.0ms (11.5% 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	y	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	x	@	0	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	x	@	inf	(* (- 1 x) (- 3 x))
1.0ms	x	@	-inf	(/ (* (- 1 x) (- 3 x)) (* y 3))

rewrite376.0ms (4.1%)

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))

simplify207.0ms (2.3%)

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 (0.8%)

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

prune105.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	690	10	700
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	691	10	701

Accuracy

100.0%

Counts

701 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
▶	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
	58.1%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	46.4%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	45.9%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
▶	45.8%	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
	52.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	52.8%	(/.f64 #s(literal 1 binary64) y)
	50.4%	(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
▶	58.3%	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))

Compiler

Compiled 200 to 142 computations (29% saved)

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -4 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal -4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal -4/3 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 #s(literal 3 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))

Rules

2078×	`-lowering-.f32`
2078×	`-lowering-.f64`
1950×	`sum4-define`
1918×	`fnmadd-define`
1150×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	99
1	61	98
2	129	98
3	293	98
4	853	98
5	2781	98
0	8511	98

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize131.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -4 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal -4 binary64)))
✓	accuracy	95.8%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.5%	(*.f64 #s(literal -4/3 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	91.0%	(/.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 y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	accuracy	99.6%	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))

Results

92.0ms	238×	0	valid
6.0ms	12×	1	valid
4.0ms	6×	2	valid

Compiler

Compiled 107 to 24 computations (77.6% saved)

Precisions

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

ival-mult: 25.0ms (49.4% of total)

ival-div: 9.0ms (17.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (15.8% 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: 1.0ms (2% of total)

series24.0ms (0.3%)

Counts

16 → 264

Calls

Call 1

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

66 calls:

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

rewrite338.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4994×	`-lowering-.f32`
4994×	`-lowering-.f64`
4452×	`/-lowering-/.f32`
4452×	`/-lowering-/.f64`
1682×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	79
1	141	79
2	1035	79
0	8626	79

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 845

Calls

Call 1

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

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

simplify247.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3054×	`-lowering-.f32`
3054×	`-lowering-.f64`
1750×	`fnmsub-define`
1260×	`--lowering--.f32`
1260×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1652
1	505	1614
2	1433	1578
3	4745	1542
0	8634	1542

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

eval244.0ms (2.7%)

Compiler: Compiled 19341 to 2471 computations (87.2% saved)

prune141.0ms (1.5%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1128	10	1138
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	1133	15	1148

Accuracy

100.0%

Counts

1148 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	50.4%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4 binary64))))
	49.8%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #s(literal -3 binary64)) x))
✓	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
	58.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
	46.4%	(/.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal -4 binary64))) y)
✓	46.4%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	52.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.8%	(/.f64 #s(literal 1 binary64) y)
▶	45.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x)))
	45.8%	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/3 binary64))
▶	49.8%	(*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)
	49.8%	(*.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 x y))
▶	49.9%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
▶	10.1%	(*.f64 #s(literal -4/3 binary64) (/.f64 x y))

Compiler

Compiled 257 to 181 computations (29.6% saved)

simplify311.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1822×	`-lowering-.f32`
1822×	`-lowering-.f64`
1692×	`sum5-define`
1548×	`fnmadd-define`
1374×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
1	49	100
2	100	100
3	214	100
4	646	100
5	2733	100
0	8373	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize409.0ms (4.5%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x)))
✓	accuracy	93.2%	(/.f64 y (*.f64 x x))
✓	accuracy	99.9%	(*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)
✓	accuracy	99.9%	(/.f64 x (/.f64 y #s(literal 1/3 binary64)))
✓	accuracy	99.7%	(/.f64 y #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))
✓	accuracy	99.8%	(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
✓	accuracy	99.7%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.6%	(*.f64 #s(literal -4/3 binary64) (/.f64 x y))
✓	accuracy	100.0%	(-.f64 #s(literal 3 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))

Results

333.0ms	77×	5	exit
44.0ms	179×	0	valid

Compiler

Compiled 103 to 23 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 302.0ms

ival-mult: 184.0ms (60.9% of total)

ival-sub: 48.0ms (15.9% of total)

ival-div: 32.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 24.0ms (7.9% of total)

backward-pass: 13.0ms (4.3% of total)

const: 1.0ms (0.3% of total)

series14.0ms (0.2%)

Counts

16 → 324

Calls

Call 1

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

81 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* -4/3 (/ x y))
1.0ms	y	@	inf	(* -4/3 (/ x y))
0.0ms	x	@	-inf	(* -4/3 (/ x y))
0.0ms	x	@	inf	(* -4/3 (/ x y))
0.0ms	y	@	0	(/ y (* x x))

rewrite378.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4740×	`/-lowering-/.f32`
4740×	`/-lowering-/.f64`
4602×	`-lowering-.f32`
4602×	`-lowering-.f64`
1728×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	129	84
2	849	84
0	8605	84

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1125

Calls

Call 1

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

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

simplify257.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2148×	`-lowering-.f32`
2148×	`-lowering-.f64`
1946×	`fma-lowering-fma.f32`
1946×	`fma-lowering-fma.f64`
1856×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1954
1	407	1930
2	1083	1910
3	3670	1904
0	8301	1904

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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

eval172.0ms (1.9%)

Compiler: Compiled 22648 to 2972 computations (86.9% saved)

prune144.0ms (1.6%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1442	7	1449
Fresh	2	5	7
Picked	1	4	5
Done	0	3	3
Total	1445	19	1464

Accuracy

100.0%

Counts

1464 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	49.9%	(/.f64 (/.f64 x (/.f64 y x)) #s(literal 3 binary64))
	50.4%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4 binary64))))
▶	52.6%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
	49.8%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #s(literal -3 binary64)) x))
✓	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
▶	58.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
	46.4%	(/.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal -4 binary64))) y)
✓	46.4%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	10.1%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
▶	49.9%	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
▶	52.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.8%	(/.f64 #s(literal 1 binary64) y)
✓	45.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x)))
	10.1%	(/.f64 #s(literal -4/3 binary64) (/.f64 y x))
	49.9%	(*.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x)
✓	49.8%	(*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)
▶	10.1%	(*.f64 x (/.f64 #s(literal -4/3 binary64) y))
✓	10.1%	(*.f64 #s(literal -4/3 binary64) (/.f64 x y))

Compiler

Compiled 275 to 195 computations (29.1% saved)

simplify8.0ms (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 #s(literal 3 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
✓	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 #s(literal -4/3 binary64) y)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal -4/3 binary64) y))
✓	cost-diff	0	(*.f64 x #s(literal -4/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)

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	17	68
1	29	62
2	43	60
3	59	60
4	64	60
5	66	60
6	66	60
0	66	60

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize84.0ms (0.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 3 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))
✓	accuracy	99.7%	(/.f64 y (/.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) y)
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 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	99.8%	(*.f64 x (/.f64 #s(literal -4/3 binary64) y))
✓	accuracy	99.4%	(/.f64 #s(literal -4/3 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
✓	accuracy	99.5%	(*.f64 x #s(literal -4/3 binary64))

Results

61.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 23.0ms (63.2% of total)

ival-mult: 5.0ms (13.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (13.7% of total)

ival-add: 2.0ms (5.5% of total)

const: 1.0ms (2.7% of total)

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

series6.0ms (0.1%)

Counts

12 → 192

Calls

Call 1

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

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

48 calls:

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

rewrite251.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2682×	`-lowering-.f32`
2682×	`-lowering-.f64`
2464×	`fma-lowering-fma.f32`
2464×	`fma-lowering-fma.f64`
2208×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	90	46
2	554	46
3	5012	46
0	8227	46

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 636

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (/.f64 y #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) y) (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) y))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))) (/.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 x (/.f64 #s(literal -4/3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/3 binary64)) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1/3 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal -3 binary64) (/.f64 #s(literal -1/3 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/3 binary64)) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/3 binary64)) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal 4/3 binary64) (neg.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 x y) #s(literal -4/3 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 x #s(literal 4/3 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -3 binary64) y) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -3 binary64) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (neg.f64 (/.f64 x y)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (/.f64 y #s(literal -4/3 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal -3 binary64) y)) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) y))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -64/27 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 16/9 binary64))) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 (/.f64 #s(literal 3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 (/.f64 #s(literal -3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) #s(literal -3 binary64)))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (*.f64 #s(literal -3 binary64) y)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 (+.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64))))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) y))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))))))
(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (/.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) (.f64 (/.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 y (+.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)))) (.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64)))) (.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)) (.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) y) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64)) (-.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -64/27 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) y) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 64/27 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4096/729 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) #s(literal -1 binary64)) (.f64 y (+.f64 (.f64 x #s(literal -4/3 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 256/81 binary64))) (.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 16/9 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) y) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) (.f64 #s(literal 3 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64))) (/.f64 #s(literal 3 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) #s(literal 3 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 3 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 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -3 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))

simplify430.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1852×	`-lowering-.f32`
1852×	`-lowering-.f64`
1846×	`fma-lowering-fma.f32`
1846×	`fma-lowering-fma.f64`
1734×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	847
1	86	838
2	182	838
3	430	817
4	999	817
5	3725	817
6	7790	817
0	8317	817

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

eval216.0ms (2.4%)

Compiler: Compiled 9316 to 1363 computations (85.4% saved)

prune105.0ms (1.1%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	824	4	828
Fresh	1	6	7
Picked	2	3	5
Done	1	6	7
Total	828	19	847

Accuracy

100.0%

Counts

847 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
	49.9%	(/.f64 (/.f64 x (/.f64 y x)) #s(literal 3 binary64))
	50.4%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4 binary64))))
	10.1%	(/.f64 (/.f64 x y) #s(literal -3/4 binary64))
✓	52.6%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
	52.6%	(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/3 binary64))
	49.8%	(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #s(literal -3 binary64)) x))
✓	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	58.3%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
	46.4%	(/.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal -4 binary64))) y)
✓	46.4%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	10.1%	(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
	10.1%	(/.f64 x (/.f64 y #s(literal -4/3 binary64)))
	49.9%	(/.f64 x (*.f64 (/.f64 #s(literal 3 binary64) x) y))
✓	52.6%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	52.8%	(/.f64 #s(literal 1 binary64) y)
✓	45.8%	(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x)))
	49.9%	(*.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x)
✓	49.8%	(*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)

Compiler

Compiled 401 to 202 computations (49.6% saved)

regimes54.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 y #s(literal 3 binary64))
12.0ms	x
11.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
9.0ms	y
8.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
99.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes97.0ms (1.1%)

Counts

30 → 2

Calls

Call 1

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

Calls

5 calls:

62.0ms	y
9.0ms	(*.f64 y #s(literal 3 binary64))
8.0ms	x
8.0ms	(/.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
99.7%	3	`x`
95.7%	1	`y`
99.7%	2	`(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))`
99.7%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
95.7%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes30.0ms (0.3%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	(*.f64 y #s(literal 3 binary64))
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
64.8%	4	`y`
64.8%	4	`(*.f64 y #s(literal 3 binary64))`
98.6%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

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 x #s(literal -4/3 binary64))) y)

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.6%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

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

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`(*.f64 y #s(literal 3 binary64))`
59.2%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.298296536945048e+123	2.6401555619920785e+127

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch42.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.686595273915113e-15	3.5511984639208487
22.0ms	-15.827479439199315	-2.525504575923884e-15

Results

26.0ms

320×

valid

Compiler

Compiled 458 to 353 computations (22.9% saved)

Precisions

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

ival-mult: 11.0ms (63% of total)

ival-sub: 3.0ms (17.2% of total)

ival-div: 2.0ms (11.5% of total)

const: 1.0ms (5.7% of total)

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

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.686595273915113e-15	3.5511984639208487
15.0ms	-15.827479439199315	-2.525504575923884e-15

Results

20.0ms

320×

valid

Compiler

Compiled 458 to 353 computations (22.9% saved)

Precisions

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

ival-mult: 4.0ms (37.1% of total)

ival-sub: 3.0ms (27.9% of total)

ival-div: 2.0ms (18.6% of total)

const: 1.0ms (9.3% 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
16.0ms	6.686595273915113e-15	3.5511984639208487
17.0ms	-15.827479439199315	-2.525504575923884e-15

Results

22.0ms

320×

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

Precisions

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

ival-mult: 4.0ms (37.4% of total)

ival-sub: 3.0ms (28% of total)

ival-div: 2.0ms (18.7% of total)

const: 1.0ms (9.3% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.686595273915113e-15	3.5511984639208487
20.0ms	-15.827479439199315	-2.525504575923884e-15

Results

24.0ms

320×

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

Precisions

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

ival-mult: 9.0ms (59.9% of total)

ival-sub: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

const: 1.0ms (6.7% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.5511984639208487	55134.71847390109
16.0ms	-15.827479439199315	-2.525504575923884e-15

Results

17.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (43.1% of total)

ival-sub: 3.0ms (32.3% of total)

ival-div: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.5511984639208487	55134.71847390109
15.0ms	-15.827479439199315	-2.525504575923884e-15

Results

20.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (42.5% of total)

ival-sub: 3.0ms (25.5% of total)

ival-div: 3.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.5511984639208487	55134.71847390109
14.0ms	-15.827479439199315	-2.525504575923884e-15

Results

19.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (41.9% of total)

ival-sub: 3.0ms (31.4% of total)

ival-div: 2.0ms (20.9% of total)

const: 1.0ms (10.5% of total)

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

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.5511984639208487	55134.71847390109
16.0ms	-15.827479439199315	-2.525504575923884e-15

Results

19.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (37.1% of total)

ival-sub: 3.0ms (27.8% of total)

ival-div: 3.0ms (27.8% of total)

const: 1.0ms (9.3% of total)

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

bsearch55.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.5511984639208487	55134.71847390109
41.0ms	-15.827479439199315	-2.525504575923884e-15

Results

43.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 30.0ms (85.3% of total)

ival-sub: 3.0ms (8.5% of total)

ival-div: 2.0ms (5.7% of total)

const: 1.0ms (2.8% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.5511984639208487	55134.71847390109
15.0ms	-15.827479439199315	-2.525504575923884e-15

Results

19.0ms

288×

valid

Compiler

Compiled 306 to 229 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (36.5% of total)

ival-sub: 3.0ms (27.4% of total)

ival-div: 3.0ms (27.4% of total)

const: 1.0ms (9.1% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-15.827479439199315	-2.525504575923884e-15

Results

11.0ms

160×

valid

Compiler

Compiled 158 to 123 computations (22.2% saved)

Precisions

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

ival-mult: 4.0ms (58% of total)

ival-sub: 2.0ms (29% of total)

ival-div: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
12×	`+-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	77	306
1	105	306
2	110	306
3	112	306
4	113	306

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 3 binary64) x) y)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4 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 #s(literal 3 binary64) (+.f64 x #s(literal -4 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 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 -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x (/.f64 y 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 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (/.f64 #s(literal 3 binary64) x) y))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 x y))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 3 binary64) x) y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (/.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3 binary64) y)) (/.f64 x (.f64 y (/.f64 #s(literal 3 binary64) x))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4 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 #s(literal 3 binary64) (+.f64 x #s(literal -4 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 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 -7656119366529843/4503599627370496 binary64)) (.f64 (/.f64 x y) (+.f64 #s(literal -4/3 binary64) (.f64 x #s(literal 1/3 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 #s(literal -4/3 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x (/.f64 y 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 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (.f64 x (/.f64 (/.f64 x y) #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 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y (/.f64 x #s(literal 3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (/.f64 #s(literal 3 binary64) x) y))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 y (/.f64 #s(literal 3 binary64) x)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 (/.f64 (/.f64 x y) #s(literal 3 binary64)) x) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (/.f64 x y) #s(literal 3 binary64))) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 x (/.f64 y #s(literal 1/3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (/.f64 y #s(literal 1/3 binary64))) x)))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 x (/.f64 y #s(literal 1/3 binary64))))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 x y))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y)) (if (<=.f64 x #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) y) (.f64 x (/.f64 (.f64 x #s(literal 1/3 binary64)) y))))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(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)

soundness2.1s (23%)

Rules

4994×	`-lowering-.f32`
4994×	`-lowering-.f64`
4740×	`/-lowering-/.f32`
4740×	`/-lowering-/.f64`
4602×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	90	46
2	554	46
3	5012	46
0	8227	46
0	164	1652
1	505	1614
2	1433	1578
3	4745	1542
0	8634	1542
0	9	27
1	54	27
2	433	27
3	7472	27
0	8263	27
0	23	79
1	141	79
2	1035	79
0	8626	79
0	78	457
1	233	446
2	609	440
3	1845	414
4	5344	406
0	8219	406
0	22	84
1	129	84
2	849	84
0	8605	84

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
1×	iter limit
1×	node limit

Compiler

Compiled 937 to 500 computations (46.6% saved)

preprocess120.0ms (1.3%)

Remove: (negabs y)
Compiler: Compiled 832 to 250 computations (70% saved)

analyze25.0ms (0.3%)

sample830.0ms (9.1%)

preprocess246.0ms (2.7%)

explain101.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify180.0ms (2%)

localize38.0ms (0.4%)

series6.0ms (0.1%)

rewrite376.0ms (4.1%)

simplify207.0ms (2.3%)

eval77.0ms (0.8%)

prune105.0ms (1.2%)

simplify150.0ms (1.6%)

localize131.0ms (1.4%)

series24.0ms (0.3%)

rewrite338.0ms (3.7%)

simplify247.0ms (2.7%)

eval244.0ms (2.7%)

prune141.0ms (1.5%)

simplify311.0ms (3.4%)

localize409.0ms (4.5%)

series14.0ms (0.2%)

rewrite378.0ms (4.1%)

simplify257.0ms (2.8%)

eval172.0ms (1.9%)

prune144.0ms (1.6%)

simplify8.0ms (0.1%)

localize84.0ms (0.9%)

series6.0ms (0.1%)

rewrite251.0ms (2.8%)

simplify430.0ms (4.7%)

eval216.0ms (2.4%)

prune105.0ms (1.1%)

regimes54.0ms (0.6%)

regimes97.0ms (1.1%)

regimes30.0ms (0.3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.5%)

bsearch35.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch55.0ms (0.6%)

bsearch31.0ms (0.3%)

bsearch18.0ms (0.2%)

simplify15.0ms (0.2%)

soundness2.1s (23%)

preprocess120.0ms (1.3%)

end0.0ms (0%)

Profiling