Metrics for Development.Shake.Progress:message from shake-0.15.5

analyze24.0ms (0.4%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 4.0ms (48.9% of total)

ival-div: 2.0ms (24.4% of total)

ival-add: 2.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

sample771.0ms (11.9%)

Results

560.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 332.0ms

ival-mult: 163.0ms (49.1% of total)

ival-div: 79.0ms (23.8% of total)

ival-add: 77.0ms (23.2% of total)

const: 10.0ms (3% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess45.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

490×	`times-frac`
284×	`associate-l`
212×	`associate-r`
202×	`unsub-neg`
160×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	52	42
2	123	42
3	285	42
4	766	42
5	1423	42
6	1776	42
7	1812	42
8	1860	42
9	1892	42
10	1892	42
0	6	7
1	10	7
2	13	7
3	14	7
0	14	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* x 100) (+ x y))

Outputs
(/ (* x 100) (+ x y))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Call 2

Inputs
(/ (* x 100) (+ x y))
(/ (* (neg x) 100) (+ (neg x) y))
(/ (* x 100) (+ x (neg y)))
(neg (/ (* (neg x) 100) (+ (neg x) y)))
(neg (/ (* x 100) (+ x (neg y))))
(/ (* y 100) (+ y x))

Outputs
(/ (* x 100) (+ x y))
(* x (/ 100 (+ x y)))
(/ (* (neg x) 100) (+ (neg x) y))
(* 100 (/ x (- x y)))
(/ (* x 100) (+ x (neg y)))
(* 100 (/ x (- x y)))
(neg (/ (* (neg x) 100) (+ (neg x) y)))
(* 100 (/ x (- y x)))
(neg (/ (* x 100) (+ x (neg y))))
(* 100 (/ x (- y x)))
(/ (* y 100) (+ y x))
(* 100 (/ y (+ x y)))

explain60.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`
0	-	-	`x`
0	-	-	`#s(literal 100 binary64)`
0	-	-	`(*.f64 x #s(literal 100 binary64))`
0	-	-	`(+.f64 x y)`
0	-	-	`y`

Results

39.0ms

512×

valid

Compiler

Compiled 47 to 26 computations (44.7% saved)

Precisions

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

ival-mult: 7.0ms (39.6% of total)

ival-add: 5.0ms (28.3% of total)

ival-div: 4.0ms (22.6% of total)

const: 2.0ms (11.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize51.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	10	16
2	13	16
3	14	16
0	14	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x 100) (+ x y))
(* x 100)
x
100
(+ x y)
y

Outputs
(/ (* x 100) (+ x y))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(* x 100)
(*.f64 x #s(literal 100 binary64))
x
100
#s(literal 100 binary64)
(+ x y)
(+.f64 x y)
y

Results

17.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

ival-mult: 4.0ms (52.2% of total)

ival-div: 2.0ms (26.1% of total)

ival-add: 1.0ms (13.1% of total)

const: 1.0ms (13.1% of total)

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

series7.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/ (* x 100) (+ x y))>
#<alt (* x 100)>
#<alt (+ x y)>

Outputs
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (* x 100) (+ x y))
0.0ms	x	@	inf	(/ (* x 100) (+ x y))
0.0ms	y	@	inf	(/ (* x 100) (+ x y))
0.0ms	y	@	-inf	(/ (* x 100) (+ x y))
0.0ms	y	@	0	(/ (* x 100) (+ x y))

rewrite582.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

4492×	`/-lowering-/.f32`
4492×	`/-lowering-/.f64`
3630×	`-lowering-.f32`
3630×	`-lowering-.f64`
3278×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	31	13
2	215	13
3	2147	13
0	8190	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 323

Calls

Call 1

Inputs
(/ (* x 100) (+ x y))
(* x 100)
(+ x y)

Outputs
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)) (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) x) (.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 x (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x #s(literal 100 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(-.f64 (/.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 (/.f64 y (-.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1/100 binary64) x)))
(-.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 (/.f64 (.f64 x y) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) (/.f64 #s(literal 1/100 binary64) x)))
(fma.f64 x (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x) (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) x (.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal -100 binary64)) (+.f64 x y))))
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal 100 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 (/.f64 #s(literal 1/100 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64))))
(/.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 y y) (.f64 x (-.f64 x y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (-.f64 x y)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x))))))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (.f64 x #s(literal 100 binary64)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 100 binary64)) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (.f64 (.f64 x #s(literal -100 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(/.f64 (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(/.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (.f64 x #s(literal 100 binary64)))) (.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (.f64 x #s(literal -100 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (.f64 x #s(literal -100 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 x #s(literal -100 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (.f64 x #s(literal -100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (.f64 x #s(literal -100 binary64)) (-.f64 (.f64 x x) (.f64 y y))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 (.f64 x #s(literal 100 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 x y)))
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(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))

simplify859.0ms (13.2%)

Algorithm

1×	egg-herbie

Rules

15982×	`accelerator-lowering-fma.f32`
15982×	`accelerator-lowering-fma.f64`
4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
2414×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	463
1	400	440
2	986	420
3	3162	406
4	7111	406
0	8145	375

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(.f64 (/.f64 x y) (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 #s(literal 100 binary64) y) x) #s(literal -100 binary64))))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 #s(literal 100 binary64) y) x) #s(literal -100 binary64))))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 y x) (+.f64 (/.f64 (.f64 #s(literal 100 binary64) y) x) #s(literal -100 binary64))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (.f64 x (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (.f64 (.f64 x (/.f64 x y)) (+.f64 #s(literal -100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y)))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) y)) (.f64 y y)) (.f64 (.f64 x (/.f64 x y)) (+.f64 #s(literal -100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y))))) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (.f64 x (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y))) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (.f64 x (.f64 #s(literal 100 binary64) (.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) y))) y)) y)) y)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

eval61.0ms (0.9%)

Compiler: Compiled 10480 to 3161 computations (69.8% saved)

prune58.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	376	7	383
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	8	384

Accuracy

100.0%

Counts

384 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x))
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶	49.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
▶	50.3%	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
▶	99.7%	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
	48.9%	(.f64 (/.f64 x y) (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y)))
▶	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
▶	50.6%	#s(literal 100 binary64)

Compiler

Compiled 131 to 94 computations (28.2% saved)

localize103.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -100 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal -100 binary64)) x)
✓	cost-diff	0	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 x (+.f64 x y))
✓	cost-diff	0	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) (+.f64 x y))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -100 binary64))
✓	accuracy	99.4%	(/.f64 (*.f64 y #s(literal -100 binary64)) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	99.7%	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 100 binary64) (+.f64 x y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)

Rules

32×	`-lowering-.f32`
32×	`-lowering-.f64`
18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
16×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	26	54
2	32	54
3	34	54
0	34	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 100 (+ x y)) x)
(/ 100 (+ x y))
100
(+ x y)
x
y
(/ (* x 100) y)
(* x 100)
(* (/ x (+ x y)) 100)
(/ x (+ x y))
(+ 100 (/ (* y -100) x))
(/ (* y -100) x)
(* y -100)
-100

Outputs
(* (/ 100 (+ x y)) x)
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/ 100 (+ x y))
(/.f64 #s(literal 100 binary64) (+.f64 x y))
100
#s(literal 100 binary64)
(+ x y)
(+.f64 x y)
x
y
(/ (* x 100) y)
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* x 100)
(*.f64 #s(literal 100 binary64) x)
(* (/ x (+ x y)) 100)
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/ x (+ x y))
(/.f64 x (+.f64 x y))
(+ 100 (/ (* y -100) x))
(+.f64 #s(literal 100 binary64) (*.f64 y (/.f64 #s(literal -100 binary64) x)))
(/ (* y -100) x)
(*.f64 y (/.f64 #s(literal -100 binary64) x))
(* y -100)
(*.f64 y #s(literal -100 binary64))
-100
#s(literal -100 binary64)

Results

50.0ms

256×

valid

Compiler

Compiled 70 to 33 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (41.4% of total)

ival-mult: 11.0ms (41.4% of total)

ival-add: 3.0ms (11.3% of total)

const: 2.0ms (7.5% of total)

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

series52.0ms (0.8%)

Counts

10 → 216

Calls

Call 1

Inputs
#<alt (* (/ 100 (+ x y)) x)>
#<alt (/ 100 (+ x y))>
#<alt (+ x y)>
#<alt (/ (* x 100) y)>
#<alt (* x 100)>
#<alt (* (/ x (+ x y)) 100)>
#<alt (/ x (+ x y))>
#<alt (/ (* y -100) x)>
#<alt (* y -100)>
#<alt (+ 100 (/ (* y -100) x))>

Outputs
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (/ 100 y)>
#<alt (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))>
#<alt (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))>
#<alt (/ 100 x)>
#<alt (/ (+ 100 (* -100 (/ y x))) x)>
#<alt (/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)>
#<alt (/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)>
#<alt (/ 100 x)>
#<alt (* -1 (/ (- (* 100 (/ y x)) 100) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))>
#<alt (/ 100 x)>
#<alt (+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))>
#<alt (+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))>
#<alt (/ 100 y)>
#<alt (/ (+ 100 (* -100 (/ x y))) y)>
#<alt (/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)>
#<alt (/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)>
#<alt (/ 100 y)>
#<alt (* -1 (/ (- (* 100 (/ x y)) 100) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 x)>
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))>
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)>
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)>
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 (/ y x))>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt (* -100 y)>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (* -100 (/ y x))>
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))>
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))>
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))>
#<alt (* -100 (/ y x))>
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))>
#<alt (* -100 (/ y x))>
#<alt (/ (+ (* -100 y) (* 100 x)) x)>
#<alt (/ (+ (* -100 y) (* 100 x)) x)>
#<alt (/ (+ (* -100 y) (* 100 x)) x)>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -100 (/ y x)))>

Calls

54 calls:

Time	Variable		Point	Expression
32.0ms	y	@	-inf	(/ (* x 100) y)
1.0ms	x	@	inf	(/ x (+ x y))
1.0ms	x	@	inf	(/ (* x 100) y)
1.0ms	y	@	0	(/ (* y -100) x)
1.0ms	x	@	0	(/ 100 (+ x y))

rewrite447.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3958×	`-lowering-.f32`
3958×	`-lowering-.f64`
3360×	`accelerator-lowering-fma.f32`
3360×	`accelerator-lowering-fma.f64`
3222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	79	50
2	537	50
3	6805	50
0	8010	49

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 531

Calls

Call 1

Inputs
(* (/ 100 (+ x y)) x)
(/ 100 (+ x y))
(+ x y)
(/ (* x 100) y)
(* x 100)
(* (/ x (+ x y)) 100)
(/ x (+ x y))
(/ (* y -100) x)
(* y -100)
(+ 100 (/ (* y -100) x))

Outputs
(+.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) x) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(fma.f64 x (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x)) (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) x (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) x))
(neg.f64 (*.f64 (neg.f64 (/.f64 x (+.f64 x y))) #s(literal 100 binary64)))
(neg.f64 (*.f64 #s(literal 100 binary64) (neg.f64 (/.f64 x (+.f64 x y)))))
(neg.f64 (*.f64 x (/.f64 #s(literal -100 binary64) (+.f64 x y))))
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64))
(/.f64 #s(literal -100 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) #s(literal -100 binary64)))
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) x))))
(/.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x))))))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x))))) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (*.f64 x x)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (.f64 (-.f64 y x) (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) x) (-.f64 x y)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) #s(literal -1 binary64)) (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(.f64 (.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
(*.f64 #s(literal -100 binary64) (neg.f64 (/.f64 x (+.f64 x y))))
(.f64 #s(literal -100 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) (+.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 100 binary64)))
(.f64 (.f64 x #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))))
(.f64 (-.f64 x y) (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 #s(literal 100 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x #s(literal 1/100 binary64)))
(*.f64 (neg.f64 (/.f64 x (+.f64 x y))) #s(literal -100 binary64))
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal 100 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (/.f64 x (-.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 100 binary64) (-.f64 x y)))
(.f64 (/.f64 x (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y))) (.f64 x (-.f64 x y)))
(.f64 (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 y y) (.f64 x x))) (-.f64 y x))
(.f64 (/.f64 (.f64 x #s(literal -100 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(.f64 (/.f64 (.f64 x #s(literal -100 binary64)) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 (-.f64 #s(literal 0 binary64) x) y))
(+.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y)))))
(+.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)) (.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))))
(+.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 y (-.f64 y x))) (.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y))) x) (.f64 (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(+.f64 (.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) (+.f64 x y)))
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(fma.f64 x (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (.f64 y y)))))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 #s(literal 100 binary64) (-.f64 x y)) (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 x x) (.f64 (/.f64 #s(literal 100 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (*.f64 y (-.f64 y x))))
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(/.f64 (-.f64 #s(literal 1000000000000 binary64) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64))))) (.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)) (+.f64 #s(literal 100000000 binary64) (.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x)))))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x)) #s(literal -10000 binary64)) (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)))
(/.f64 (-.f64 #s(literal 100000000 binary64) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (/.f64 x (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) x)))) (.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)) (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)))))
(/.f64 (-.f64 (.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)))) (.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))))
(/.f64 (.f64 (+.f64 #s(literal 1000000000000000000 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1000000000000 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) #s(literal 1000000 binary64)))) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1000000000000 binary64) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1000000000000 binary64) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 100000000 binary64) (.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))))) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))))
(/.f64 (.f64 (-.f64 #s(literal 100000000 binary64) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (/.f64 x (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1000000 binary64) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal -10000 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -100 binary64) (/.f64 y (/.f64 x #s(literal -100 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x)) #s(literal -10000 binary64))) (neg.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))) (.f64 (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))))) (+.f64 (/.f64 #s(literal 10000 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)))))
(/.f64 (.f64 (+.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (*.f64 y #s(literal -100 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)))
(/.f64 (.f64 (+.f64 #s(literal 1000000000000000000 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64))))))) (+.f64 #s(literal 1000000000000 binary64) (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (*.f64 x x))) #s(literal 1000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1000000000000 binary64) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64))))))) (-.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1000000000000 binary64) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))) (+.f64 #s(literal 100000000 binary64) (.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 100000000 binary64) (/.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (/.f64 x (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))) (+.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (*.f64 y #s(literal -100 binary64)))))))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))
(.f64 (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x))))
(.f64 (+.f64 #s(literal -1000000 binary64) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -10000 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (*.f64 y #s(literal -100 binary64))))))))
(.f64 (+.f64 #s(literal -10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -100 binary64) (/.f64 y (/.f64 x #s(literal -100 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000 binary64) (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))))) (+.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x))) (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (*.f64 x x))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) #s(literal -10000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)))) (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) y) x)))
(.f64 (/.f64 (+.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1000000000000 binary64) (.f64 (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))) (.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64))))))) (+.f64 #s(literal 100000000 binary64) (.f64 (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))) (-.f64 (/.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (/.f64 x (.f64 y #s(literal -100 binary64)))) #s(literal 10000 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 100000000 binary64) (.f64 (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x)) (.f64 (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)) (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)))))) (+.f64 #s(literal 10000 binary64) (.f64 (/.f64 (*.f64 #s(literal 100 binary64) y) x) (+.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) #s(literal -100 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 10000 binary64) (/.f64 (.f64 #s(literal 10000 binary64) (.f64 y y)) (.f64 x x))) (-.f64 #s(literal 1000000 binary64) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000000 binary64)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 10000 binary64) (.f64 (/.f64 y (/.f64 x #s(literal -100 binary64))) (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)))))

simplify624.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

9064×	`accelerator-lowering-fma.f32`
9064×	`accelerator-lowering-fma.f64`
3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
2868×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1972
1	947	1872
2	2427	1770
3	7284	1744
0	8527	1627

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ 100 y)
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(/ 100 x)
(/ (+ 100 (* -100 (/ y x))) x)
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)
(/ 100 x)
(* -1 (/ (- (* 100 (/ y x)) 100) x))
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))
(/ 100 x)
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(/ 100 y)
(/ (+ 100 (* -100 (/ x y))) y)
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)
(/ 100 y)
(* -1 (/ (- (* 100 (/ x y)) 100) y))
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 (/ y x))
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
(* -100 y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(* -100 (/ y x))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* -100 (/ y x))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* -100 (/ y x))
(/ (+ (* -100 y) (* 100 x)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/ (+ (* -100 y) (* 100 x)) x)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))

Outputs
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) y))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (.f64 y (/.f64 (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))) x)) x)))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (-.f64 (.f64 #s(literal 100 binary64) x) (.f64 #s(literal 100 binary64) (/.f64 (*.f64 x x) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y y))) (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -100 binary64)))) (/.f64 (.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y) (*.f64 x #s(literal -100 binary64))) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))
(/.f64 (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 x y))) y)
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) y)
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))
(+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ (+ 100 (* -100 (/ y x))) x)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x)) x)
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x)) x)
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x)) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(* -1 (/ (- (* 100 (/ y x)) 100) x))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x)) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x)) x)
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x)) x)
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))
(+.f64 (/.f64 #s(literal 100 binary64) x) (.f64 y (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (.f64 y (*.f64 y #s(literal -100 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ (+ 100 (* -100 (/ x y))) y)
(/.f64 (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 x y))) y)
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) y)
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)
(/.f64 (+.f64 (/.f64 (.f64 x #s(literal -100 binary64)) y) (+.f64 #s(literal 100 binary64) (.f64 (/.f64 #s(literal -100 binary64) y) (.f64 (/.f64 x y) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(* -1 (/ (- (* 100 (/ x y)) 100) y))
(/.f64 (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 x y))) y)
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y)) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)) y))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (.f64 (*.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y #s(literal -100 binary64)) x))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (.f64 y (/.f64 (-.f64 #s(literal -100 binary64) (/.f64 (.f64 y (-.f64 #s(literal -100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))) x)) x)))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (-.f64 (.f64 #s(literal 100 binary64) x) (.f64 #s(literal 100 binary64) (/.f64 (*.f64 x x) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (.f64 y y))) (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (.f64 #s(literal 100 binary64) (+.f64 x (.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x #s(literal -100 binary64)))) (/.f64 (.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y) (*.f64 x #s(literal -100 binary64))) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (-.f64 (/.f64 (/.f64 x y) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y y))))))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y y)) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (+.f64 x (.f64 (/.f64 x y) (.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)) y)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
(* -100 y)
(*.f64 y #s(literal -100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x)))
(* -100 (/ y x))
(/.f64 (*.f64 y #s(literal -100 binary64)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))

eval144.0ms (2.2%)

Compiler: Compiled 15473 to 5759 computations (62.8% saved)

prune100.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	847	3	850
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	849	9	858

Accuracy

100.0%

Counts

858 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	49.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
▶	98.9%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	50.3%	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
✓	99.7%	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
▶	49.2%	(*.f64 (/.f64 x y) #s(literal 100 binary64))
✓	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
▶	50.5%	(*.f64 (/.f64 #s(literal 100 binary64) x) x)
✓	50.6%	#s(literal 100 binary64)

Compiler

Compiled 69 to 49 computations (29% saved)

localize85.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 (/.f64 x y) #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) x)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 100 binary64) x) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	99.0%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.6%	(*.f64 (/.f64 x y) #s(literal 100 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 100 binary64) x)
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 100 binary64) x) x)

Rules

20×	`-lowering-.f32`
20×	`-lowering-.f64`
18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
14×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	19	38
2	27	30
3	32	30
4	35	30
0	35	30

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 100 x) x)
(/ 100 x)
100
x
(* (/ x y) 100)
(/ x y)
y
(/ 100 (/ (+ x y) x))
(/ (+ x y) x)
(+ x y)

Outputs
(* (/ 100 x) x)
#s(literal 100 binary64)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
100
#s(literal 100 binary64)
x
(* (/ x y) 100)
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ x y)
(/.f64 x y)
y
(/ 100 (/ (+ x y) x))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(+ x y)
(+.f64 x y)

Results

38.0ms

256×

valid

Compiler

Compiled 42 to 18 computations (57.1% saved)

Precisions

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

ival-div: 13.0ms (68% of total)

ival-mult: 4.0ms (20.9% of total)

ival-add: 1.0ms (5.2% of total)

const: 1.0ms (5.2% of total)

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

series41.0ms (0.6%)

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (* (/ 100 x) x)>
#<alt (/ 100 x)>
#<alt (* (/ x y) 100)>
#<alt (/ x y)>
#<alt (/ 100 (/ (+ x y) x))>
#<alt (/ (+ x y) x)>
#<alt (+ x y)>

Outputs
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (/ 100 x)>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 100 (/ x y))>
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))>
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))>
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))>
#<alt 100>
#<alt (+ 100 (* -100 (/ y x)))>
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))>
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))>
#<alt (* 100 (/ x y))>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (* 100 (/ x y))>
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))>
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))>
#<alt (/ y x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt (/ (+ x y) x)>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt 1>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (+ 1 (/ y x))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (/ y x)>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt (* y (+ (/ 1 x) (/ 1 y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ x y)
0.0ms	x	@	-inf	(/ (+ x y) x)
0.0ms	x	@	inf	(/ x y)
0.0ms	y	@	-inf	(/ x y)
0.0ms	y	@	-inf	(/ (+ x y) x)

rewrite563.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5382×	`/-lowering-/.f32`
5382×	`/-lowering-/.f64`
3972×	`-lowering-.f32`
3972×	`-lowering-.f64`
2012×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	58	31
2	360	27
3	3051	27
0	9327	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 662

Calls

Call 1

Inputs
(* (/ 100 x) x)
(/ 100 x)
(* (/ x y) 100)
(/ x y)
(/ 100 (/ (+ x y) x))
(/ (+ x y) x)
(+ x y)

Outputs
#s(literal 100 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 100 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) x))
(neg.f64 (/.f64 #s(literal -100 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) x)))
(/.f64 #s(literal 100 binary64) x)
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) x))
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(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify726.0ms (11.2%)

Algorithm

1×	egg-herbie

Rules

15686×	`accelerator-lowering-fma.f32`
15686×	`accelerator-lowering-fma.f64`
4806×	`-lowering-.f32`
4806×	`-lowering-.f64`
2246×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	769
1	411	746
2	1004	726
3	3206	712
4	7435	712
0	8512	681

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
100
100
100
100
100
100
100
100
100
100
100
100
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(/ 100 x)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
100
#s(literal 100 binary64)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(/ 100 x)
(/.f64 #s(literal 100 binary64) x)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(.f64 (/.f64 x y) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 x #s(literal -100 binary64)) y)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 (.f64 #s(literal 100 binary64) (/.f64 x (.f64 y y))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 x x) (/.f64 #s(literal -100 binary64) (.f64 (.f64 y (*.f64 y y)) y)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(+.f64 #s(literal 100 binary64) (.f64 y (.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 #s(literal -100 binary64) x) (+.f64 y (.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (.f64 y (.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 #s(literal -100 binary64) x) (+.f64 y (.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (.f64 y (.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (.f64 (/.f64 #s(literal -100 binary64) x) (+.f64 y (.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (.f64 x (+.f64 #s(literal 100 binary64) (/.f64 (.f64 x #s(literal -100 binary64)) y))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (.f64 (.f64 #s(literal 100 binary64) (.f64 x (/.f64 x y))) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) y)) (.f64 y y)) (.f64 (.f64 #s(literal 100 binary64) (.f64 x (/.f64 x y))) (+.f64 (/.f64 x y) #s(literal -1 binary64))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (.f64 x (+.f64 #s(literal 100 binary64) (/.f64 (.f64 x #s(literal -100 binary64)) y))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (+.f64 (.f64 #s(literal 100 binary64) x) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -100 binary64) (.f64 #s(literal 100 binary64) (/.f64 x y)))) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (-.f64 (.f64 #s(literal 100 binary64) x) (/.f64 (-.f64 (.f64 #s(literal 100 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) y))) y)) y)) y)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (+ x y) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (+ x y) x)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

eval136.0ms (2.1%)

Compiler: Compiled 16854 to 6153 computations (63.5% saved)

prune344.0ms (5.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	805	1	806
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	805	10	815

Accuracy

100.0%

Counts

815 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	49.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	98.9%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
▶	48.4%	(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓	50.3%	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
✓	99.7%	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
✓	49.2%	(*.f64 (/.f64 x y) #s(literal 100 binary64))
✓	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
✓	50.5%	(*.f64 (/.f64 #s(literal 100 binary64) x) x)
✓	50.6%	#s(literal 100 binary64)

Compiler

Compiled 76 to 54 computations (28.9% saved)

localize33.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	98.8%	(/.f64 #s(literal 100 binary64) (/.f64 y x))

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
2	10	11
3	14	11
4	15	11
0	15	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 100 (/ y x))
100
(/ y x)
y
x

Outputs
(/ 100 (/ y x))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
100
#s(literal 100 binary64)
(/ y x)
(/.f64 y x)
y
x

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 4.0ms (89.6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ 100 (/ y x))>
#<alt (/ y x)>

Outputs
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (* 100 (/ x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	-inf	(/ y x)
0.0ms	y	@	inf	(/ y x)
0.0ms	y	@	0	(/ 100 (/ y x))
0.0ms	y	@	inf	(/ 100 (/ y x))

rewrite193.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`/-lowering-/.f32`
1626×	`/-lowering-/.f64`
1408×	`-lowering-.f32`
1408×	`-lowering-.f64`
1008×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	23	8
2	113	8
3	562	8
4	3476	8
0	8882	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 261

Calls

Call 1

Inputs
(/ 100 (/ y x))
(/ y x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) y)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) (/.f64 (/.f64 y #s(literal 100 binary64)) x))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 y #s(literal 100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))))) (/.f64 (/.f64 #s(literal 1000000 binary64) (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (/.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (/.f64 #s(literal 100 binary64) (/.f64 y x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(fma.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(neg.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 x (/.f64 y #s(literal 100 binary64)))
(/.f64 x (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64)))
(/.f64 x (neg.f64 (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -100 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (/.f64 x y) #s(literal 1/100 binary64))
(/.f64 (/.f64 x y) #s(literal -1/100 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (/.f64 y #s(literal 100 binary64))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (/.f64 y #s(literal 100 binary64)))))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x x))))
(/.f64 (.f64 x x) (.f64 x (/.f64 y #s(literal 100 binary64))))
(/.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (.f64 x x) (neg.f64 (.f64 x (/.f64 y #s(literal 100 binary64)))))
(/.f64 (.f64 x x) (neg.f64 (.f64 (/.f64 y #s(literal 100 binary64)) x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 100 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -100 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (.f64 x x) #s(literal 100 binary64)) (*.f64 x y))
(/.f64 (.f64 (.f64 x x) #s(literal -100 binary64)) (*.f64 x y))
(/.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal 100 binary64) (.f64 x x)) (*.f64 y x))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal -100 binary64) (.f64 x x)) (*.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1000000 binary64) (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 100 binary64) y)) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) y)) x)
(/.f64 (/.f64 #s(literal 100 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 100 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -100 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y #s(literal 100 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) x)) (.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 100 binary64)) x)) (/.f64 y #s(literal 100 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 (/.f64 y #s(literal 100 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 x y))) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1/100 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 x y))) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1/100 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) y))) (/.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 100 binary64)) x)) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 (/.f64 y #s(literal 100 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) y))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 1/100 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (/.f64 y #s(literal 100 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 #s(literal 100 binary64) x))) (*.f64 (/.f64 y #s(literal 100 binary64)) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x x))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x (.f64 x x)))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) x)) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x x))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 (/.f64 y #s(literal 100 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 #s(literal 100 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 y (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y x)) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 #s(literal 100 binary64) (.f64 x x)))) (.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y (.f64 x x))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 y (.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y x)) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) (.f64 x x)))) (.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (.f64 x x))))) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal 100 binary64)) (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x x)))) (.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 y x))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (sqrt.f64 (/.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 100 binary64))) (neg.f64 (.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 100 binary64))) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 100 binary64) (.f64 x x))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -100 binary64))) (neg.f64 (.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -100 binary64))) (neg.f64 (*.f64 x y)))
(/.f64 (neg.f64 (.f64 #s(literal -100 binary64) (.f64 x (.f64 x x)))) (neg.f64 (.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal -100 binary64) (.f64 x x))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x x))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1000000 binary64) (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))))) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 100 binary64) y))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal 100 binary64) y))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (sqrt.f64 (/.f64 y x)))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(/.f64 (neg.f64 (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x)))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) (/.f64 (/.f64 y #s(literal 100 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x)))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 100 binary64) y))
(*.f64 #s(literal -100 binary64) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(*.f64 (/.f64 x y) #s(literal -100 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 100 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) #s(literal 100 binary64)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1/100 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 y #s(literal 100 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 100 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (.f64 y (.f64 y y))) (*.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (*.f64 y y)) y)
(.f64 (/.f64 #s(literal 100 binary64) (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))) (/.f64 (/.f64 y x) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (/.f64 y x))
(+.f64 (/.f64 y x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) (/.f64 x y))) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (log.f64 (/.f64 (/.f64 y x) (/.f64 x y)))))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (/.f64 y x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x y) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 y x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 y x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) x) (/.f64 y x))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x (/.f64 x y))) (/.f64 x (*.f64 x (/.f64 x y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 y x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 y y))) (/.f64 y x))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (.f64 x (/.f64 (/.f64 y x) (/.f64 x y)))) (/.f64 (.f64 x (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))) (*.f64 x (/.f64 (/.f64 y x) (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (/.f64 y x))) (/.f64 (.f64 x (/.f64 (/.f64 y x) (/.f64 x y))) (*.f64 x (/.f64 y x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y (.f64 x (.f64 x x))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y x) #s(literal 0 binary64))
(neg.f64 (/.f64 y x))
(/.f64 y x)
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 y x) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))))
(/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) x))
(/.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 y y)))
(/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 (.f64 y y) x)))
(/.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 x (.f64 y y))))
(/.f64 (.f64 y y) (.f64 x y))
(/.f64 (.f64 y y) (.f64 y x))
(/.f64 (.f64 y y) (neg.f64 (.f64 x y)))
(/.f64 (.f64 y y) (neg.f64 (.f64 y x)))
(/.f64 (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) (/.f64 (/.f64 y x) (/.f64 x y)))
(/.f64 (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 0 binary64)))))
(/.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (/.f64 y x))
(/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) x) (.f64 x (/.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (.f64 x (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))))) (.f64 x (/.f64 (/.f64 y x) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (/.f64 (/.f64 y x) (/.f64 x y)))) (.f64 x (/.f64 y x)))
(/.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(/.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (/.f64 x y))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))))) (.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (/.f64 (/.f64 y x) (/.f64 x y))))
(/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) x))) (.f64 y y))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -1 binary64))) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) x))) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 x x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x)))) x)
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) x)) (neg.f64 (.f64 x (/.f64 x y))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) (/.f64 x y))) (.f64 x (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))))) (neg.f64 (.f64 x (/.f64 (/.f64 y x) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (/.f64 (/.f64 y x) (/.f64 x y))))) (neg.f64 (.f64 x (/.f64 y x))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y y))) y)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (*.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y)))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(.f64 (.f64 (/.f64 y x) (/.f64 (/.f64 y x) (/.f64 x y))) (*.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 y x) (/.f64 x y)) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (neg.f64 (sqrt.f64 (/.f64 y x))))
(.f64 (sqrt.f64 (/.f64 y x)) (.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(.f64 (.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (/.f64 y (.f64 x (.f64 x x))) (.f64 x x))
(.f64 (/.f64 y (.f64 x x)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y x))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	192
1	9	192
2	11	192
3	13	192
4	14	192
0	14	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

Outputs
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(* 100 (/ x y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval60.0ms (0.9%)

Compiler: Compiled 3699 to 1773 computations (52.1% saved)

prune47.0ms (0.7%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	309	10	319

Accuracy

100.0%

Counts

319 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	49.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	98.9%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	48.4%	(/.f64 #s(literal 100 binary64) (/.f64 y x))
✓	50.3%	(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
✓	99.7%	(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
✓	49.2%	(*.f64 (/.f64 x y) #s(literal 100 binary64))
✓	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
✓	50.5%	(*.f64 (/.f64 #s(literal 100 binary64) x) x)
✓	50.6%	#s(literal 100 binary64)

Compiler

Compiled 154 to 98 computations (36.4% saved)

regimes39.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

Inputs
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) x) x)
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64))
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x))
(.f64 (/.f64 x y) (-.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y)))

Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)

Calls

3 calls:

31.0ms	x
4.0ms	y
3.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) x) x)
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 100 binary64)) y)

Outputs
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
#s(literal 100 binary64)
(/.f64 (*.f64 x #s(literal 100 binary64)) y)

Calls

2 calls:

7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
78.5%	5	`x`
76.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) x) x)
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(/.f64 #s(literal 100 binary64) (/.f64 y x))

Outputs
(*.f64 (/.f64 x y) #s(literal 100 binary64))
#s(literal 100 binary64)
(*.f64 (/.f64 x y) #s(literal 100 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
76.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes105.0ms (1.6%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) x) x)

Outputs
#s(literal 100 binary64)

Calls

2 calls:

104.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.6%	1	`x`
50.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.599946968193299e+62	3.550857822632279e+65
12.0ms	-1.8521288331918423e+73	-4.754049385022693e+67

Results

13.0ms

272×

valid

Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

ival-mult: 2.0ms (32.8% of total)

ival-add: 1.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.599946968193299e+62	3.550857822632279e+65
11.0ms	-1.8521288331918423e+73	-4.754049385022693e+67

Results

17.0ms

272×

valid

Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions

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

ival-mult: 6.0ms (58.8% of total)

ival-div: 2.0ms (19.6% of total)

ival-add: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 48 to 32 computations (33.3% saved)

preprocess42.0ms (0.6%)

Compiler: Compiled 136 to 92 computations (32.4% saved)

analyze24.0ms (0.4%)

sample771.0ms (11.9%)

preprocess45.0ms (0.7%)

explain60.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0%)

localize51.0ms (0.8%)

series7.0ms (0.1%)

rewrite582.0ms (9%)

simplify859.0ms (13.2%)

eval61.0ms (0.9%)

prune58.0ms (0.9%)

localize103.0ms (1.6%)

series52.0ms (0.8%)

rewrite447.0ms (6.9%)

simplify624.0ms (9.6%)

eval144.0ms (2.2%)

prune100.0ms (1.5%)

localize85.0ms (1.3%)

series41.0ms (0.6%)

rewrite563.0ms (8.7%)

simplify726.0ms (11.2%)

eval136.0ms (2.1%)

prune344.0ms (5.3%)

localize33.0ms (0.5%)

series3.0ms (0%)

rewrite193.0ms (3%)

simplify9.0ms (0.1%)

eval60.0ms (0.9%)

prune47.0ms (0.7%)

regimes39.0ms (0.6%)

regimes13.0ms (0.2%)

regimes4.0ms (0.1%)

regimes105.0ms (1.6%)

bsearch25.0ms (0.4%)

bsearch28.0ms (0.4%)

soundness1.0ms (0%)

preprocess42.0ms (0.6%)

end0.0ms (0%)

Profiling