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

analyze23.0ms (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: 7.0ms

ival-sub: 3.0ms (43.6% of total)

ival-mult: 3.0ms (43.6% of total)

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

const: 0.0ms (0% of total)

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

sample1.3s (15.6%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-sub: 191.0ms (44.2% of total)

ival-mult: 117.0ms (27% of total)

ival-div: 106.0ms (24.5% of total)

const: 16.0ms (3.7% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess194.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	72
1	83	66
2	346	66
3	1594	66
4	7618	66
0	9	11
1	23	11
2	67	11
3	173	11
4	686	11
5	3184	11
0	8504	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) (/ (- -1 (* x 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)

explain117.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(/.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

87.0ms

512×

valid

Compiler

Compiled 81 to 29 computations (64.2% saved)

Precisions

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

ival-sub: 6.0ms (35.1% of total)

ival-mult: 6.0ms (35.1% of total)

ival-div: 4.0ms (23.4% 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
▶	94.6%	(/.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)

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	23	31
2	67	31
3	173	31
4	686	31
5	3184	31
0	8504	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

localize42.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
✓	accuracy	94.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))

Results

31.0ms

256×

valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

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

ival-sub: 3.0ms (35.3% of total)

ival-mult: 3.0ms (35.3% of total)

ival-div: 2.0ms (23.6% of total)

const: 1.0ms (11.8% of total)

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

series8.0ms (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
2.0ms	y	@	-inf	(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms	y	@	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))
1.0ms	y	@	inf	(/ (* (- 1 x) (- 3 x)) (* y 3))

rewrite300.0ms (3.6%)

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	434	27
3	7482	27
0	8335	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 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x (-.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (*.f64 x (-.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) y))))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 3 binary64) (.f64 #s(literal -3 binary64) x))) (.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal -3 binary64) x)) (/.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 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) y))) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #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) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y #s(literal -3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #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 y (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (.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 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))))
(/.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 #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 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 #s(literal 3 binary64) x) (*.f64 #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 y (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.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 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 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 (neg.f64 (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -9 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) 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 #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 (neg.f64 (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -9 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) 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 (neg.f64 (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -9 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) 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 x (/.f64 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 x (/.f64 x (+.f64 x #s(literal 3 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 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 x (/.f64 x (+.f64 x #s(literal 3 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (/.f64 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 (neg.f64 (.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal -9 binary64))))
(.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) 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))

simplify255.0ms (3.1%)

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	430
2	610	428
3	1845	410
4	5357	402
0	8234	402

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

eval91.0ms (1.1%)

Compiler: Compiled 15800 to 1890 computations (88% saved)

prune125.0ms (1.5%)

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 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
▶	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
	57.2%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	43.8%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	43.2%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
▶	43.2%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
	53.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶	53.6%	(/.f64 #s(literal 1 binary64) y)
	48.9%	(.f64 (/.f64 x y) (+.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
▶	57.4%	(.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)

simplify189.0ms (2.3%)

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 y #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))

Rules

1956×	`fnmadd-define`
1862×	`-lowering-.f32`
1862×	`-lowering-.f64`
1670×	`sum5-define`
1590×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	93
1	62	92
2	138	92
3	318	92
4	917	92
5	3484	91
0	8194	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize120.0ms (1.5%)

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	94.6%	(/.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 y #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	89.8%	(/.f64 (.f64 x x) (.f64 y #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) y)
✓	accuracy	99.9%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x))

Results

92.0ms

256×

valid

Compiler

Compiled 103 to 22 computations (78.6% saved)

Precisions

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

ival-mult: 11.0ms (35.4% of total)

ival-div: 8.0ms (25.7% of total)

ival-sub: 4.0ms (12.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (12.9% of total)

ival-add: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

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

series22.0ms (0.3%)

Counts

14 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (* x x) (* y 3))
3.0ms	y	@	0	(/ (* x (+ x -4)) (* y 3))
1.0ms	x	@	-inf	(/ (* 3 y) (- 3 x))
1.0ms	y	@	inf	(/ (* x (+ x -4)) (* y 3))
1.0ms	y	@	0	(/ (* x x) (* y 3))

rewrite321.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4882×	`-lowering-.f32`
4882×	`-lowering-.f64`
4048×	`/-lowering-/.f32`
4048×	`/-lowering-/.f64`
1748×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	67
1	145	67
2	1052	67
0	8485	67

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 743

Calls

Call 1

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

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

simplify238.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3340×	`-lowering-.f32`
3340×	`-lowering-.f64`
1986×	`sum4-define`
1828×	`/-lowering-/.f32`
1828×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1441
1	390	1358
2	1033	1322
3	2567	1250
4	7096	1250
0	8396	1250

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval114.0ms (1.4%)

Compiler: Compiled 17218 to 2055 computations (88.1% saved)

prune131.0ms (1.6%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1015	10	1025
Fresh	1	4	5
Picked	1	4	5
Done	0	0	0
Total	1017	18	1035

Accuracy

100.0%

Counts

1035 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(/.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 3 binary64))
▶	48.3%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
	48.3%	(/.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 y x))
▶	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
	56.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
	57.2%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
	57.4%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
✓	43.8%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	43.2%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
	7.9%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
	48.3%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
▶	53.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
✓	53.6%	(/.f64 #s(literal 1 binary64) y)
	43.2%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
✓	57.4%	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
▶	48.3%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)

Compiler

Compiled 300 to 211 computations (29.7% saved)

simplify289.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

1970×	`-lowering-.f32`
1970×	`-lowering-.f64`
1950×	`sum4-define`
1702×	`fnmadd-define`
1112×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	50	89
2	91	88
3	199	88
4	642	88
5	2427	88
0	8505	88

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

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

localize202.0ms (2.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	89.8%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) y)
✓	accuracy	100.0%	(*.f64 y #s(literal 3 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓	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	99.7%	(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))

Results

150.0ms	231×	0	valid
10.0ms	11×	2	valid
9.0ms	14×	1	valid

Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 17.0ms (44.3% of total)

ival-mult: 11.0ms (28.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (13% of total)

ival-sub: 4.0ms (10.4% of total)

backward-pass: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

series51.0ms (0.6%)

Counts

16 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(* (/ 1/3 y) x)
1.0ms	y	@	inf	(* (/ y (- 1 x)) 3)
1.0ms	y	@	0	(* (/ y (- 1 x)) 3)
0.0ms	y	@	inf	(* (/ 1/3 y) x)
0.0ms	y	@	0	(* (/ 1/3 y) x)

rewrite325.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4716×	`-lowering-.f32`
4716×	`-lowering-.f64`
4464×	`/-lowering-/.f32`
4464×	`/-lowering-/.f64`
1006×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	80
1	123	73
2	813	73
0	8178	73

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1130

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y (+.f64 x #s(literal -1 binary64)))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x))))
(+.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #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 (/.f64 y #s(literal 1/3 binary64)) x))))
(+.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 #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) 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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(-.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 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)))
(-.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 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 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 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x)))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 3 binary64) x)) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 27 binary64) (/.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 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 9 binary64) (/.f64 (+.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1/3 binary64))))) (/.f64 (*.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 (/.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 #s(literal 3 binary64) x) (/.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 (/.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 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 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 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) (/.f64 (/.f64 y #s(literal -1/3 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.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 (/.f64 y #s(literal 1/3 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 (/.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 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) x)) (/.f64 (/.f64 y #s(literal -1/3 binary64)) (.f64 x (+.f64 x #s(literal -1 binary64))))) (*.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 1 binary64) y) (-.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 #s(literal -1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 #s(literal 3 binary64) 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 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) 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 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 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 (/.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 (/.f64 y #s(literal 1/3 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 #s(literal 3 binary64) x) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))))
(/.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 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))))
(/.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 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 9 binary64) (.f64 x x)) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 3 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 (+.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.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 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 #s(literal -3 binary64) x))))
(/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.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 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (+.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) 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 #s(literal 3 binary64) x) (/.f64 y (+.f64 x #s(literal -1 binary64)))) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (neg.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x)))))
(/.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (neg.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 #s(literal 3 binary64) x)))
(/.f64 (.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 (/.f64 y #s(literal 1/3 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 #s(literal 3 binary64) x) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) (+.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 (/.f64 y #s(literal 1/3 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 #s(literal 19683 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))))) (.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 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal 27 binary64))) #s(literal 729 binary64))))
(/.f64 (-.f64 #s(literal 729 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (.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 (.f64 x (*.f64 x x)) #s(literal 27 binary64))))
(/.f64 (-.f64 #s(literal 729 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (.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 81 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (.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 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))))) (.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 81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 (+.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1/3 binary64)))) (+.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (+.f64 #s(literal 9 binary64) (.f64 x (+.f64 #s(literal 3 binary64) x))))
(/.f64 (/.f64 (-.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (/.f64 y (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (-.f64 (+.f64 (.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) x)))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.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 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) #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))) (.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 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 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 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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) 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))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.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 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.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 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.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 (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 0 binary64) (+.f64 #s(literal 1 binary64) (*.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 (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)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x 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 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x 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 x (.f64 (.f64 x 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 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 x #s(literal -1 binary64))) #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 (.f64 x x))) (/.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 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #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 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(.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 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #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 x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))

simplify349.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2848×	`-lowering-.f32`
2848×	`-lowering-.f64`
1702×	`fnmsub-define`
1124×	`+-lowering-+.f64`
1124×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1686
1	440	1557
2	1259	1536
3	4229	1528
0	8317	1528

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval167.0ms (2%)

Compiler: Compiled 20499 to 2583 computations (87.4% saved)

prune211.0ms (2.6%)

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	1415	3	1418
Fresh	0	9	9
Picked	0	5	5
Done	0	4	4
Total	1415	21	1436

Accuracy

100.0%

Counts

1436 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(/.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 3 binary64))
✓	48.3%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
	48.3%	(/.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 y x))
▶	53.4%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
	53.4%	(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/3 binary64))
✓	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
▶	56.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
	57.2%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
▶	57.4%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
✓	43.8%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	43.2%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
	7.9%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
▶	48.3%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
✓	53.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
✓	53.6%	(/.f64 #s(literal 1 binary64) y)
▶	53.3%	(/.f64 #s(literal 1/3 binary64) (/.f64 y #s(literal 3 binary64)))
	43.2%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
✓	57.4%	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	48.3%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)

Compiler

Compiled 295 to 211 computations (28.5% saved)

simplify149.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

1872×	`fnmadd-define`
1524×	`-lowering-.f32`
1524×	`-lowering-.f64`
1370×	`fma-define`
1294×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	35	61
2	57	60
3	93	60
4	119	60
5	159	60
6	239	60
7	470	60
8	1439	60
9	3998	60
0	8205	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize123.0ms (1.5%)

Localize:

Found 12 expressions of interest:

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

78.0ms

256×

valid

Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions

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

ival-div: 16.0ms (51.4% of total)

...c/correct-round.rkt:119:19: 8.0ms (25.7% of total)

ival-mult: 4.0ms (12.8% of total)

ival-sub: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

const: 1.0ms (3.2% 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 (/ 1/3 (/ y 3))>
#<alt (/ y 3)>
#<alt (/ (- 1 x) y)>
#<alt (- 1 x)>
#<alt (/ (/ 3 y) 3)>
#<alt (/ 3 y)>
#<alt (/ x (/ (* 3 y) x))>
#<alt (/ (* 3 y) x)>
#<alt (* 3 y)>

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

48 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ (* 3 y) x)
0.0ms	x	@	0	(/ (* 3 y) x)
0.0ms	y	@	0	(/ (- 1 x) y)
0.0ms	y	@	-inf	(/ (* 3 y) x)
0.0ms	y	@	inf	(/ (* 3 y) x)

rewrite303.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4070×	`-lowering-.f32`
4070×	`-lowering-.f64`
3530×	`/-lowering-/.f32`
3530×	`/-lowering-/.f64`
1586×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	100	45
2	683	45
3	7892	45
0	8295	45

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 850

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -4/3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 (.f64 x #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(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 x (.f64 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 x (.f64 x #s(literal 16/9 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 4/3 binary64))))))
(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 x (.f64 (*.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 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 #s(literal 3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) (/.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 3 binary64) (.f64 (/.f64 y #s(literal 1/3 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 (/.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 #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 #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 -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 (*.f64 x #s(literal 4/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.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 x (.f64 (.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 x (.f64 (.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 x (.f64 (.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 (+.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 -1 binary64) (neg.f64 (.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 -1 binary64) (neg.f64 (.f64 x #s(literal 4/3 binary64))))))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 x (.f64 (.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 x (.f64 (.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 x (.f64 (.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 -1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -16/9 binary64)))) (.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x #s(literal 4/3 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.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 -1 binary64) (neg.f64 (.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)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal -262144/19683 binary64))) (.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 x (.f64 (.f64 x x) #s(literal -64/27 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 4096/729 binary64))) (.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 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal 4096/729 binary64))) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 4/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal 16/9 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 16/9 binary64))))))))
(/.f64 (+.f64 (.f64 x (.f64 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 x (.f64 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 x (*.f64 x #s(literal 16/9 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 x (.f64 (.f64 x x) #s(literal -64/27 binary64)))) #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) (/.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 y #s(literal 1/3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 x (.f64 (.f64 x x) #s(literal -64/27 binary64)))) #s(literal -1/3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64)))) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)))) (/.f64 #s(literal 1/3 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 1/3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64)))) #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 #s(literal 0 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) (/.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) #s(literal 3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) (/.f64 y #s(literal 1/3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) (/.f64 #s(literal 3 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) #s(literal -3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 4/3 binary64))) (.f64 #s(literal -3 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) #s(literal -1/3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) (/.f64 y #s(literal -3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) (/.f64 #s(literal -3 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) (/.f64 #s(literal 1/3 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -16/9 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))))) #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 #s(literal 0 binary64) y)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (-.f64 (*.f64 x #s(literal 16/9 binary64)) #s(literal -4/3 binary64))))) y))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))))) #s(literal 1/3 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 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))))) #s(literal 3 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 y #s(literal 1/3 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 (.f64 x x) #s(literal -64/27 binary64))))) (/.f64 #s(literal 3 binary64) y)) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.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 1/3 binary64) (/.f64 x (/.f64 y x)))
(.f64 (/.f64 x (.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (.f64 #s(literal -3 binary64) y)))
(*.f64 #s(literal -1/3 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
(.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (.f64 #s(literal -3 binary64) y) x)))
(.f64 (/.f64 x (.f64 #s(literal -3 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 x (.f64 #s(literal -3 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 x y))
(.f64 (/.f64 #s(literal -1/3 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) y))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (.f64 #s(literal -3 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 x (.f64 #s(literal -3 binary64) y)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 y x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x (*.f64 #s(literal -3 binary64) y)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (/.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -3 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 #s(literal -3 binary64) y) x))
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (/.f64 y x)))
(/.f64 #s(literal 3 binary64) (/.f64 x y))
(/.f64 (/.f64 y #s(literal 1/3 binary64)) x)
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 #s(literal -3 binary64) y)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 y x)))
(*.f64 #s(literal 3 binary64) (/.f64 y x))
(*.f64 (/.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3 binary64) y) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal -3 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -3 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 y (/.f64 #s(literal 3 binary64) x))
(.f64 y (.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -3 binary64) y) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal -3 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) x) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1/3 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y))
(neg.f64 (*.f64 #s(literal -3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/3 binary64))
(/.f64 y #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (/.f64 y #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3 binary64))
(*.f64 y #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) y))

simplify183.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2320×	`-lowering-.f32`
2320×	`-lowering-.f64`
1100×	`fnmadd-define`
910×	`fma-lowering-fma.f32`
910×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	880
1	126	805
2	278	805
3	615	784
4	1611	784
5	5452	784
6	7351	784
0	8020	784

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

eval126.0ms (1.5%)

Compiler: Compiled 14069 to 2016 computations (85.7% saved)

prune142.0ms (1.7%)

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	1041	1	1042
Fresh	0	7	7
Picked	1	4	5
Done	0	9	9
Total	1042	21	1063

Accuracy

100.0%

Counts

1063 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.8%	(/.f64 (/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) y) #s(literal 3 binary64))
✓	48.3%	(/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x))
	48.3%	(/.f64 (/.f64 x #s(literal 3 binary64)) (/.f64 y x))
✓	53.4%	(/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 3 binary64))
	53.4%	(/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1/3 binary64))
✓	99.7%	(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
✓	56.7%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
	57.2%	(/.f64 (+.f64 #s(literal 3 binary64) (.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	57.4%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64))) y)
✓	43.8%	(/.f64 (.f64 x (+.f64 x #s(literal -4 binary64))) (.f64 y #s(literal 3 binary64)))
✓	43.2%	(/.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) y)
	7.9%	(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
✓	48.3%	(/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))
✓	53.4%	(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
	57.4%	(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4/3 binary64)))))
✓	53.6%	(/.f64 #s(literal 1 binary64) y)
	53.4%	(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
	43.2%	(.f64 (/.f64 #s(literal 1/3 binary64) y) (.f64 x x))
✓	57.4%	(.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓	48.3%	(.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)

Compiler

Compiled 374 to 199 computations (46.8% saved)

regimes43.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(*.f64 y #s(literal 3 binary64))
9.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
8.0ms	x
8.0ms	y
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes40.0ms (0.5%)

Counts

23 → 2

Calls

Call 1

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

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) y) x))

Calls

5 calls:

9.0ms	y
8.0ms	x
8.0ms	(*.f64 y #s(literal 3 binary64))
7.0ms	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 3 binary64)))
6.0ms	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	2	`(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))`
94.6%	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)))`
94.6%	1	`(*.f64 y #s(literal 3 binary64))`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes8.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (+.f64 (*.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)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

22.0ms	(*.f64 y #s(literal 3 binary64))
6.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
64.2%	4	`y`
64.2%	4	`(*.f64 y #s(literal 3 binary64))`
97.5%	3	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
3.0ms	(*.f64 y #s(literal 3 binary64))
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(*.f64 y #s(literal 3 binary64))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
53.6%	1	`y`
53.6%	1	`(*.f64 y #s(literal 3 binary64))`
57.9%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.3b remaining (-0.9%)

Threshold costs -0.3b (-0.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
53.6%	1	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.6312195387396706e+32	2.4416917516140647e+33

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.17865696556822e-13	39.918490226950574
17.0ms	-238418386796.12646	-0.026367336085858884

Results

24.0ms

320×

valid

Compiler

Compiled 498 to 373 computations (25.1% saved)

Precisions

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

ival-mult: 6.0ms (50.3% of total)

ival-sub: 3.0ms (25.2% of total)

ival-div: 2.0ms (16.8% of total)

const: 1.0ms (8.4% of total)

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

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.17865696556822e-13	39.918490226950574
18.0ms	-238418386796.12646	-0.026367336085858884

Results

25.0ms

320×

valid

Compiler

Compiled 458 to 333 computations (27.3% saved)

Precisions

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

ival-mult: 6.0ms (41.9% of total)

ival-sub: 5.0ms (34.9% of total)

ival-div: 2.0ms (14% of total)

const: 1.0ms (7% of total)

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

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.17865696556822e-13	39.918490226950574
17.0ms	-238418386796.12646	-0.026367336085858884

Results

23.0ms

320×

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

Precisions

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

ival-mult: 4.0ms (38.8% of total)

ival-sub: 3.0ms (29.1% of total)

ival-div: 2.0ms (19.4% of total)

const: 1.0ms (9.7% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.17865696556822e-13	39.918490226950574
16.0ms	-238418386796.12646	-0.026367336085858884

Results

21.0ms

320×

valid

Compiler

Compiled 418 to 313 computations (25.1% saved)

Precisions

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

ival-mult: 4.0ms (38.7% of total)

ival-sub: 3.0ms (29% of total)

ival-div: 2.0ms (19.3% of total)

const: 1.0ms (9.7% 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	8.17865696556822e-13	39.918490226950574
17.0ms	-238418386796.12646	-0.026367336085858884

Results

23.0ms

320×

valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

Precisions

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

ival-mult: 4.0ms (39.3% of total)

ival-sub: 3.0ms (29.5% of total)

ival-div: 2.0ms (19.7% of total)

const: 1.0ms (9.8% of total)

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

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.17865696556822e-13	39.918490226950574
17.0ms	-238418386796.12646	-0.026367336085858884

Results

23.0ms

320×

valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

Precisions

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

ival-mult: 4.0ms (38.4% of total)

ival-sub: 3.0ms (28.8% of total)

ival-div: 2.0ms (19.2% of total)

const: 1.0ms (9.6% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-238418386796.12646	-0.026367336085858884

Results

11.0ms

160×

valid

Compiler

Compiled 158 to 123 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

ival-div: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	211
1	90	211
2	95	211
3	97	211
4	98	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999972787615493521408 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) y) x)))
(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 (.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)))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 3 binary64) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999972787615493521408 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) y) x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 499999999999999972787615493521408 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) y)) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x)))
(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 (.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)))))
(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))) (/.f64 #s(literal 1 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 y) (/.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (+.f64 (.f64 #s(literal -4/3 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -2589569785738035/562949953421312 binary64)) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -4/3 binary64))) y) (/.f64 x (/.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 x (/.f64 (.f64 #s(literal 3 binary64) y) x))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 (.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/3 binary64) y))) (if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (.f64 x (.f64 x (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) x) y) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.3s (16%)

Rules

4882×	`-lowering-.f32`
4882×	`-lowering-.f64`
4072×	`-lowering-.f32`
4072×	`-lowering-.f64`
4048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1441
1	390	1358
2	1033	1322
3	2567	1250
4	7096	1250
0	8396	1250
0	9	27
1	54	27
2	434	27
3	7482	27
0	8335	27
0	21	67
1	145	67
2	1052	67
0	8485	67
0	78	457
1	233	430
2	610	428
3	1845	410
4	5357	402
0	8234	402

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

Compiler

Compiled 548 to 276 computations (49.6% saved)

preprocess149.0ms (1.8%)

Remove: (negabs y)
Compiler: Compiled 556 to 174 computations (68.7% saved)

analyze23.0ms (0.3%)

sample1.3s (15.6%)

preprocess194.0ms (2.4%)

explain117.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify137.0ms (1.7%)

localize42.0ms (0.5%)

series8.0ms (0.1%)

rewrite300.0ms (3.6%)

simplify255.0ms (3.1%)

eval91.0ms (1.1%)

prune125.0ms (1.5%)

simplify189.0ms (2.3%)

localize120.0ms (1.5%)

series22.0ms (0.3%)

rewrite321.0ms (3.9%)

simplify238.0ms (2.9%)

eval114.0ms (1.4%)

prune131.0ms (1.6%)

simplify289.0ms (3.5%)

localize202.0ms (2.4%)

series51.0ms (0.6%)

rewrite325.0ms (3.9%)

simplify349.0ms (4.2%)

eval167.0ms (2%)

prune211.0ms (2.6%)

simplify149.0ms (1.8%)

localize123.0ms (1.5%)

series6.0ms (0.1%)

rewrite303.0ms (3.7%)

simplify183.0ms (2.2%)

eval126.0ms (1.5%)

prune142.0ms (1.7%)

regimes43.0ms (0.5%)

regimes40.0ms (0.5%)

regimes8.0ms (0.1%)

regimes34.0ms (0.4%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.5%)

bsearch39.0ms (0.5%)

bsearch40.0ms (0.5%)

bsearch36.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch37.0ms (0.5%)

bsearch20.0ms (0.2%)

simplify13.0ms (0.2%)

soundness1.3s (16%)

preprocess149.0ms (1.8%)

end0.0ms (0%)

Profiling