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

analyze24.0ms (0.5%)

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: 9.0ms

ival-mult: 4.0ms (45.2% of total)

ival-div: 2.0ms (22.6% of total)

ival-add: 2.0ms (22.6% of total)

const: 0.0ms (0% of total)

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

sample769.0ms (15.2%)

Results

582.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-mult: 108.0ms (38.6% of total)

ival-div: 91.0ms (32.5% of total)

ival-add: 66.0ms (23.6% of total)

const: 12.0ms (4.3% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess73.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1788×	`fma-define`
1756×	`fnmadd-define`
1112×	`sum3-define`
690×	`fnmsub-define`
676×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	52	42
2	125	42
3	300	42
4	933	42
5	2209	42
6	4157	42
7	4899	42
8	4983	42
9	5135	42
10	5183	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 #s(literal 100 binary64) (/.f64 x (+.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)))

explain59.0ms (1.2%)

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

32.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

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

ival-div: 4.0ms (30.8% of total)

ival-add: 4.0ms (30.8% of total)

ival-mult: 4.0ms (30.8% of total)

const: 1.0ms (7.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶	99.8%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(*.f64 x #s(literal 100 binary64))
✓	cost-diff	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 x (+.f64 x y))
✓	cost-diff	(*.f64 #s(literal 100 binary64) (/.f64 x (+.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	8	34
1	14	34
2	15	34
0	15	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.3%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	99.8%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))

Results

24.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-div: 4.0ms (42.1% of total)

ival-mult: 4.0ms (42.1% of total)

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

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

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

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 (/ 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 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 (* 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)>

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 100 (/ x (+ x y)))
0.0ms	x	@	0	(* x 100)
0.0ms	y	@	inf	(* 100 (/ x (+ x y)))
0.0ms	x	@	0	(* 100 (/ x (+ x y)))
0.0ms	x	@	inf	(* 100 (/ x (+ x y)))

rewrite595.0ms (11.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3364×	`-lowering-.f32`
3364×	`-lowering-.f64`
2044×	`fma-lowering-fma.f32`
2044×	`fma-lowering-fma.f64`
1984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	40	25
2	270	25
3	2676	25
0	8597	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 459

Calls

Call 1

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

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

simplify653.0ms (12.9%)

Algorithm

1×	egg-herbie

Rules

3882×	`-lowering-.f32`
3882×	`-lowering-.f64`
2156×	`/-lowering-/.f32`
2156×	`/-lowering-/.f64`
1398×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	1132
1	735	1055
2	2008	963
3	7310	963
0	8193	963

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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))
(/ 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))
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))
(* 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)

Outputs
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #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 x (.f64 (/.f64 #s(literal 100 binary64) (.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 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(- (+ 100 (* 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 x) #s(literal -1 binary64)))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 (/.f64 (.f64 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) 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 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 (/.f64 (.f64 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x))))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (*.f64 #s(literal 100 binary64) x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (.f64 #s(literal 100 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y 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) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal -100 binary64) (+.f64 (/.f64 (.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y y)))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (*.f64 #s(literal 100 binary64) x)) 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 (.f64 x #s(literal -100 binary64))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x 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 #s(literal 100 binary64) (.f64 x (.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) 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 x (.f64 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 #s(literal 1 binary64) (.f64 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 (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(- (+ 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 y (.f64 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 (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(+ 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 y (.f64 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 (+.f64 (/.f64 y x) #s(literal -1 binary64))) x))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 y (.f64 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 (.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) 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 (.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) 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))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #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 x (.f64 (/.f64 #s(literal 100 binary64) (.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 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(- (+ 100 (* 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 x) #s(literal -1 binary64)))) x))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(+.f64 (/.f64 (.f64 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) 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 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal 100 binary64) (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(+.f64 (/.f64 (.f64 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (.f64 #s(literal -100 binary64) (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x))))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (*.f64 #s(literal 100 binary64) x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (.f64 #s(literal 100 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y 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) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal -100 binary64) (+.f64 (/.f64 (.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y (.f64 y y)))))) y)
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (+.f64 (.f64 x (/.f64 (.f64 x #s(literal -100 binary64)) y)) (*.f64 #s(literal 100 binary64) x)) 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 (.f64 x #s(literal -100 binary64))) (/.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x 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 #s(literal 100 binary64) (.f64 x (.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 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)

eval93.0ms (1.8%)

Compiler: Compiled 16566 to 1395 computations (91.6% saved)

prune114.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	718	6	724
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	719	7	726

Accuracy

100.0%

Counts

726 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
▶	99.7%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶	99.3%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
	99.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 #s(literal 100 binary64) x))
✓	99.8%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
▶	50.5%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
▶	50.0%	#s(literal 100 binary64)

Compiler

Compiled 101 to 72 computations (28.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) x)
✓	cost-diff	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	cost-diff	(*.f64 x #s(literal 100 binary64))
✓	cost-diff	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	cost-diff	(/.f64 x y)
✓	cost-diff	(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) #s(literal 100 binary64))
✓	cost-diff	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))

Rules

20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
20×	`-lowering-.f32`
20×	`-lowering-.f64`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	22	59
2	26	59
0	26	59

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize80.0ms (1.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	99.3%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	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	99.7%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) #s(literal 100 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))

Results

63.0ms

256×

valid

Compiler

Compiled 62 to 13 computations (79% saved)

Precisions

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

ival-div: 11.0ms (65.2% of total)

ival-mult: 4.0ms (23.7% of total)

ival-add: 2.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

9 → 204

Calls

Call 1

Inputs
#<alt (/ x (/ (+ x y) 100))>
#<alt (/ (+ x y) 100)>
#<alt (+ x y)>
#<alt (* 100 (/ x y))>
#<alt (/ x y)>
#<alt (/ (* x 100) y)>
#<alt (* x 100)>
#<alt (/ 100 (/ (+ x y) x))>
#<alt (/ (+ x y) 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 (* 1/100 y)>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (* 1/100 x)>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))>
#<alt (* 1/100 x)>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))>
#<alt (* 1/100 x)>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (+ (* 1/100 x) (* 1/100 y))>
#<alt (* 1/100 y)>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))>
#<alt (* 1/100 y)>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))>
#<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 (/ 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 (* 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 (/ 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)))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* 100 (/ x y))
1.0ms	x	@	inf	(* 100 (/ x y))
1.0ms	x	@	0	(* 100 (/ x y))
0.0ms	y	@	inf	(* 100 (/ x y))
0.0ms	x	@	-inf	(* 100 (/ x y))

rewrite476.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2558×	`-lowering-.f32`
2558×	`-lowering-.f64`
2402×	`fma-lowering-fma.f32`
2402×	`fma-lowering-fma.f64`
2048×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	72	43
2	441	43
3	3841	43
0	8142	43

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 621

Calls

Call 1

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

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

simplify515.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
1998×	`fma-lowering-fma.f32`
1998×	`fma-lowering-fma.f64`
1500×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1314
1	514	1272
2	1367	1212
3	4445	1212
0	8277	1212

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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))
(* 1/100 y)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* 1/100 x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* 1/100 x)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 y)
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* 1/100 y)
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
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))
(/ 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))
(* 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))
(/ 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)))

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

eval106.0ms (2.1%)

Compiler: Compiled 15647 to 1626 computations (89.6% saved)

prune116.0ms (2.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	943	4	947
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	945	9	954

Accuracy

100.0%

Counts

954 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	99.7%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶	50.6%	(/.f64 x (/.f64 y #s(literal 100 binary64)))
▶	49.8%	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	99.3%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
▶	50.6%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
▶	50.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 100 binary64)))
✓	99.8%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
✓	50.0%	#s(literal 100 binary64)

Compiler

Compiled 67 to 48 computations (28.4% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 x (/.f64 y #s(literal 100 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/100 binary64))
✓	cost-diff	256	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 100 binary64) y)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	cost-diff	0	(*.f64 x #s(literal 100 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 100 binary64)))

Rules

60×	`-lowering-.f32`
60×	`-lowering-.f64`
28×	`associate-r`
26×	`associate-l`
24×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	31	42
2	49	42
3	70	42
4	82	42
5	90	42
6	96	42
7	105	42
0	105	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 y) (* x 100))
(/ 1 y)
1
y
(* x 100)
x
100
(* (/ 100 y) x)
(/ 100 y)
100
y
x
(/ x (* x 1/100))
x
(* x 1/100)
1/100
(/ x (/ y 100))
x
(/ y 100)
y
100

Outputs
(* (/ 1 y) (* x 100))
(/.f64 x (/.f64 y #s(literal 100 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* x 100)
(/.f64 x #s(literal 1/100 binary64))
x
100
#s(literal 100 binary64)
(* (/ 100 y) x)
(/.f64 x (/.f64 y #s(literal 100 binary64)))
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
100
#s(literal 100 binary64)
y
x
(/ x (* x 1/100))
#s(literal 100 binary64)
x
(* x 1/100)
(*.f64 x #s(literal 1/100 binary64))
1/100
#s(literal 1/100 binary64)
(/ x (/ y 100))
(/.f64 x (/.f64 y #s(literal 100 binary64)))
x
(/ y 100)
(/.f64 y #s(literal 100 binary64))
y
100
#s(literal 100 binary64)

localize67.0ms (1.3%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 100 binary64))
✓	accuracy	99.7%	(/.f64 x (/.f64 y #s(literal 100 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/100 binary64))
✓	accuracy	99.7%	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 100 binary64) y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 100 binary64)))

Results

44.0ms

256×

valid

Compiler

Compiled 52 to 15 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 10.0ms (46.8% of total)

ival-mult: 7.0ms (32.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (18.7% of total)

const: 1.0ms (4.7% of total)

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

series4.0ms (0.1%)

Counts

9 → 144

Calls

Call 1

Inputs
#<alt (* (/ 1 y) (* x 100))>
#<alt (/ 1 y)>
#<alt (* x 100)>
#<alt (* (/ 100 y) x)>
#<alt (/ 100 y)>
#<alt (/ x (* x 1/100))>
#<alt (* x 1/100)>
#<alt (/ x (/ y 100))>
#<alt (/ y 100)>

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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 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 (/ 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>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 x)>
#<alt (* 1/100 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 (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>
#<alt (* 1/100 y)>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 1/100)
0.0ms	x	@	inf	(* x 1/100)
0.0ms	x	@	-inf	(* (/ 1 y) (* x 100))
0.0ms	y	@	-inf	(/ 1 y)
0.0ms	y	@	0	(/ 100 y)

rewrite194.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`-lowering-.f32`
2026×	`-lowering-.f64`
1768×	`/-lowering-/.f32`
1768×	`/-lowering-/.f64`
612×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	59	30
2	249	30
3	891	30
0	4208	30

Stop Event

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

Counts

9 → 541

Calls

Call 1

Inputs
(* (/ 1 y) (* x 100))
(/ 1 y)
(* x 100)
(* (/ 100 y) x)
(/ 100 y)
(/ x (* x 1/100))
(* x 1/100)
(/ x (/ y 100))
(/ y 100)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 100 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -100 binary64) y) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/100 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 x (/.f64 y #s(literal 100 binary64)))
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 (/.f64 x #s(literal 1/100 binary64)) y)
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -1/100 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -100 binary64)))
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 x y) #s(literal 1/100 binary64))
(/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1/100 binary64) x))
(/.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -100 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/100 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 y #s(literal -100 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (/.f64 y #s(literal -100 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x #s(literal -1/100 binary64)))) (/.f64 y #s(literal -100 binary64))) (.f64 (/.f64 y #s(literal -100 binary64)) (/.f64 y (/.f64 x #s(literal -1/100 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -100 binary64)) x)) (/.f64 (.f64 y y) #s(literal 10000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -100 binary64)) (/.f64 x #s(literal 1/100 binary64)))) (.f64 (/.f64 y #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 y #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 y #s(literal -100 binary64)) (/.f64 y #s(literal 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 0 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 #s(literal -1/100 binary64)))) (.f64 (/.f64 y #s(literal -100 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (/.f64 y #s(literal -100 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 x x) #s(literal -1/100 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 100 binary64)) (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (*.f64 x x) (/.f64 y #s(literal 100 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -100 binary64)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 x x) #s(literal 1/100 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -100 binary64) y)) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (/.f64 y #s(literal -100 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal -1/100 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 100 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x (/.f64 y #s(literal 100 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -100 binary64)) (*.f64 x y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (/.f64 x #s(literal 100 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal -100 binary64) y)) x)
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 y #s(literal -100 binary64)) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (/.f64 y #s(literal -100 binary64)) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal -1/100 binary64) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 x #s(literal -1/100 binary64)))
(/.f64 (.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(/.f64 (.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (/.f64 y #s(literal 100 binary64)) x))
(/.f64 (.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/100 binary64) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 x #s(literal 100 binary64)))
(/.f64 (.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (/.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64))))) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))) (/.f64 y (/.f64 x #s(literal 1/100 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 100 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64)))
(*.f64 x (/.f64 #s(literal 100 binary64) y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(*.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) y))
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(*.f64 (/.f64 x #s(literal -1/100 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/100 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -100 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -100 binary64))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x))))
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) x))
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(/.f64 (.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (/.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) (/.f64 x (/.f64 y #s(literal -100 binary64))))) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))) (/.f64 y (/.f64 x #s(literal 1/100 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 100 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64)))
(*.f64 x (/.f64 #s(literal 100 binary64) y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(*.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -100 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) y))
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(*.f64 (/.f64 x #s(literal -1/100 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1/100 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 y #s(literal -100 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -100 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -100 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -100 binary64))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x))))
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/100 binary64) x)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal 1/100 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)))) (/.f64 (.f64 y y) #s(literal 10000 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) #s(literal 10000 binary64)))) (/.f64 y #s(literal 100 binary64)))
(.f64 (/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) #s(literal 1 binary64)) (.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 100 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -100 binary64)))
(neg.f64 (/.f64 y #s(literal -100 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64)))))
(/.f64 y #s(literal 100 binary64))
(/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) y))
(/.f64 (/.f64 y #s(literal -100 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -100 binary64))
(/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -100 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 10000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y y) #s(literal 10000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -100 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 10000 binary64))) (/.f64 y #s(literal -100 binary64)))
(/.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)))
(/.f64 (*.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1/100 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal -1/100 binary64)) (.f64 y y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1/100 binary64)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)))) (/.f64 (.f64 y y) #s(literal 10000 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) #s(literal 10000 binary64)))) (/.f64 y #s(literal 100 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)))) (/.f64 (*.f64 y y) #s(literal 10000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) #s(literal 10000 binary64)))) (/.f64 y #s(literal 100 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 y y) #s(literal 10000 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal -100 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 y y) #s(literal 10000 binary64)))
(/.f64 (.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (.f64 y y))
(/.f64 (.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 100 binary64) y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 100 binary64)))
(*.f64 y #s(literal 1/100 binary64))
(*.f64 #s(literal 1/100 binary64) y)
(*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -100 binary64)))
(*.f64 (/.f64 y #s(literal -100 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/100 binary64))
(*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/100 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

20×	`-lowering-.f32`
20×	`-lowering-.f64`
10×	`*-commutative`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	540
1	20	540
2	21	540
3	22	540
0	22	540

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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))
(* 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 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
100
100
100
100
100
100
100
100
100
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 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))
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)

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

eval112.0ms (2.2%)

Compiler: Compiled 6782 to 776 computations (88.6% saved)

prune53.0ms (1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	685	0	685
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	685	9	694

Accuracy

100.0%

Counts

694 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	99.7%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓	50.6%	(/.f64 x (/.f64 y #s(literal 100 binary64)))
✓	49.8%	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	99.3%	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
✓	50.6%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	50.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x #s(literal 100 binary64)))
✓	99.8%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
✓	50.0%	#s(literal 100 binary64)

Compiler

Compiled 139 to 76 computations (45.3% saved)

regimes14.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
75.7%	3	`x`
78.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 100 binary64)

Outputs
#s(literal 100 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch42.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.17851406389932e-109	4.23409139675952e-105
13.0ms	-1.4802005218943098e+22	-2605164062.456821

Results

14.0ms

288×

valid

Compiler

Compiled 230 to 190 computations (17.4% saved)

Precisions

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

ival-div: 2.0ms (29.8% of total)

ival-add: 2.0ms (29.8% of total)

ival-mult: 2.0ms (29.8% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.17851406389932e-109	4.23409139675952e-105
13.0ms	-1.4802005218943098e+22	-2605164062.456821

Results

15.0ms

288×

valid

Compiler

Compiled 230 to 190 computations (17.4% saved)

Precisions

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

ival-div: 3.0ms (39.1% of total)

ival-add: 2.0ms (26% of total)

ival-mult: 2.0ms (26% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	8.17851406389932e-109	4.23409139675952e-105
13.0ms	-1.4802005218943098e+22	-2605164062.456821

Results

14.0ms

288×

valid

Compiler

Compiled 230 to 190 computations (17.4% saved)

Precisions

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

ival-div: 2.0ms (30.2% of total)

ival-add: 2.0ms (30.2% of total)

ival-mult: 2.0ms (30.2% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	57
1	37	57

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 y #s(literal -100000000000000000 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))) (if (<=.f64 y #s(literal 8004974622069417/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) y) x)))
(if (<=.f64 y #s(literal -6400000000000000000 binary64)) (.f64 (/.f64 #s(literal 100 binary64) y) x) (if (<=.f64 y #s(literal 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) #s(literal 100 binary64) (.f64 (/.f64 #s(literal 100 binary64) y) x)))
(if (<=.f64 y #s(literal -265000000000000000 binary64)) (.f64 #s(literal 100 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (/.f64 x y))))
#s(literal 100 binary64)

Outputs
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 y #s(literal -100000000000000000 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))) (if (<=.f64 y #s(literal 8004974622069417/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) y) x)))
(if (<=.f64 y #s(literal -100000000000000000 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))) (if (<=.f64 y #s(literal 8004974622069417/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(literal 100 binary64) (*.f64 x (/.f64 #s(literal 100 binary64) y))))
(if (<=.f64 y #s(literal -6400000000000000000 binary64)) (.f64 (/.f64 #s(literal 100 binary64) y) x) (if (<=.f64 y #s(literal 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) #s(literal 100 binary64) (.f64 (/.f64 #s(literal 100 binary64) y) x)))
(if (<=.f64 y #s(literal -6400000000000000000 binary64)) (.f64 x (/.f64 #s(literal 100 binary64) y)) (if (<=.f64 y #s(literal 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) #s(literal 100 binary64) (.f64 x (/.f64 #s(literal 100 binary64) y))))
(if (<=.f64 y #s(literal -265000000000000000 binary64)) (.f64 #s(literal 100 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1355681185995627/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) #s(literal 100 binary64) (.f64 #s(literal 100 binary64) (/.f64 x y))))
#s(literal 100 binary64)

soundness627.0ms (12.4%)

Rules

3882×	`-lowering-.f32`
3882×	`-lowering-.f64`
2558×	`-lowering-.f32`
2558×	`-lowering-.f64`
2402×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	1132
1	735	1055
2	2008	963
3	7310	963
0	8193	963
0	12	43
1	72	43
2	441	43
3	3841	43
0	8142	43
0	6	7
1	10	7
2	13	7
3	14	7
0	14	7

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 209 to 129 computations (38.3% saved)

preprocess49.0ms (1%)

Compiler: Compiled 174 to 84 computations (51.7% saved)

analyze24.0ms (0.5%)

sample769.0ms (15.2%)

preprocess73.0ms (1.4%)

explain59.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize35.0ms (0.7%)

series8.0ms (0.2%)

rewrite595.0ms (11.8%)

simplify653.0ms (12.9%)

eval93.0ms (1.8%)

prune114.0ms (2.3%)

simplify6.0ms (0.1%)

localize80.0ms (1.6%)

series11.0ms (0.2%)

rewrite476.0ms (9.4%)

simplify515.0ms (10.2%)

eval106.0ms (2.1%)

prune116.0ms (2.3%)

simplify20.0ms (0.4%)

localize67.0ms (1.3%)

series4.0ms (0.1%)

rewrite194.0ms (3.8%)

simplify30.0ms (0.6%)

eval112.0ms (2.2%)

prune53.0ms (1%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch42.0ms (0.8%)

bsearch27.0ms (0.5%)

bsearch50.0ms (1%)

simplify8.0ms (0.2%)

soundness627.0ms (12.4%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling