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

analyze153.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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: 7.0ms

ival-mult: 3.0ms (41% of total)

ival-div: 2.0ms (27.3% of total)

ival-add: 2.0ms (27.3% of total)

const: 0.0ms (0% of total)

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

sample1.2s (16%)

Results

669.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 113.0ms (38.1% of total)

ival-add: 103.0ms (34.7% of total)

ival-div: 67.0ms (22.6% of total)

const: 11.0ms (3.7% of total)

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

Bogosity

preprocess72.0ms (1%)

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)))

explain73.0ms (1%)

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

55.0ms

512×

valid

Compiler

Compiled 47 to 20 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 28.0ms (76.5% of total)

ival-div: 4.0ms (10.9% of total)

ival-mult: 4.0ms (10.9% of total)

const: 1.0ms (2.7% 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
▶	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶	99.7%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify4.0ms (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

localize193.0ms (2.6%)

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	99.4%	(/.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	99.7%	(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))

Results

164.0ms

256×

valid

Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions

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

ival-div: 4.0ms (42% of total)

ival-mult: 4.0ms (42% of total)

ival-add: 2.0ms (21% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

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
0.0ms	x	@	0	(* 100 (/ x (+ x y)))
0.0ms	y	@	inf	(* 100 (/ x (+ x y)))
0.0ms	x	@	0	(* x 100)
0.0ms	x	@	inf	(* 100 (/ x (+ x y)))
0.0ms	y	@	-inf	(* 100 (/ x (+ x y)))

rewrite653.0ms (8.7%)

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

simplify291.0ms (3.9%)

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)

eval103.0ms (1.4%)

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

prune75.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	716	8	724
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	718	8	726

Accuracy

100.0%

Counts

726 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(/.f64 (.f64 x #s(literal 100 binary64)) (.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))))
	56.2%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
▶	45.1%	(/.f64 (*.f64 x #s(literal 100 binary64)) x)
	99.8%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
▶	44.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
	56.1%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
▶	45.5%	#s(literal 100 binary64)

Compiler

Compiled 128 to 92 computations (28.1% saved)

simplify177.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2764×	`sum3-define`
2376×	`fma-define`
2156×	`fnmadd-define`
1736×	`fma-lowering-fma.f32`
1736×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	42	69
2	91	69
3	195	68
4	346	68
5	880	68
6	2748	68
7	3736	68
8	6256	68
0	8336	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize74.0ms (1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.4%	(/.f64 (.f64 x #s(literal 100 binary64)) (.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	87.5%	(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.8%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 x #s(literal 100 binary64)) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 100 binary64) (+.f64 x y))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)

Results

50.0ms

256×

valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41.1% of total)

ival-mult: 8.0ms (36.5% of total)

ival-add: 3.0ms (13.7% of total)

ival-sub: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (- 1 (/ y x)) 100)
0.0ms	y	@	inf	(/ 100 (+ x y))
0.0ms	y	@	inf	(* (- 1 (/ y x)) 100)
0.0ms	y	@	-inf	(* y (+ (/ x y) 1))
0.0ms	y	@	-inf	(/ y x)

rewrite281.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3640×	`-lowering-.f32`
3640×	`-lowering-.f64`
3096×	`/-lowering-/.f32`
3096×	`/-lowering-/.f64`
1476×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	106	53
2	846	49
0	9265	49

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 561

Calls

Call 1

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

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

simplify280.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4720×	`-lowering-.f32`
4720×	`-lowering-.f64`
1600×	`/-lowering-/.f32`
1600×	`/-lowering-/.f64`
1446×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	1649
1	786	1526
2	2150	1417
3	7740	1417
0	8313	1417

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval91.0ms (1.2%)

Compiler: Compiled 13174 to 1297 computations (90.2% saved)

prune71.0ms (0.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	820	2	822
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	821	9	830

Accuracy

100.0%

Counts

830 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	45.1%	(/.f64 (*.f64 x #s(literal 100 binary64)) x)
▶	99.8%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
▶	56.2%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
▶	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x #s(literal 1/100 binary64)))
✓	44.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
▶	56.1%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓	45.5%	#s(literal 100 binary64)

Compiler

Compiled 110 to 79 computations (28.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

100×	`-lowering-.f32`
100×	`-lowering-.f64`
54×	`associate-l`
40×	`/-lowering-/.f32`
40×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	32	72
2	43	72
3	65	72
4	110	72
5	152	72
6	169	72
7	175	72
0	175	72

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize88.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	99.8%	(/.f64 x #s(literal 1/100 binary64))
✓	accuracy	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x #s(literal 1/100 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 100 binary64))
✓	accuracy	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 100 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	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	99.8%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))

Results

52.0ms	244×	0	valid
14.0ms	12×	5	exit

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (41.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (23.9% of total)

ival-mult: 7.0ms (20.9% of total)

backward-pass: 2.0ms (6% of total)

ival-add: 2.0ms (6% of total)

const: 1.0ms (3% of total)

series15.0ms (0.2%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(+ x y)
2.0ms	x	@	-inf	(* (/ 1 (+ x y)) (/ x 1/100))
0.0ms	x	@	0	(* 100 (/ x y))
0.0ms	y	@	0	(* 100 (/ x y))
0.0ms	x	@	-inf	(/ x y)

rewrite354.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2792×	`fma-lowering-fma.f32`
2792×	`fma-lowering-fma.f64`
2506×	`-lowering-.f32`
2506×	`-lowering-.f64`
2082×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	92	53
2	534	53
3	4179	53
0	8074	53

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 790

Calls

Call 1

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

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

simplify285.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4226×	`-lowering-.f32`
4226×	`-lowering-.f64`
1856×	`/-lowering-/.f32`
1856×	`/-lowering-/.f64`
1368×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	1786
1	797	1702
2	2137	1618
3	7189	1608
0	8082	1608

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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 (.f64 x #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 #s(literal 100 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)) y)))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (.f64 x (+.f64 (.f64 (/.f64 #s(literal 100 binary64) (.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(*.f64 (-.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) y) (/.f64 (+.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 #s(literal -100 binary64) (/.f64 (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64)))
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) y) (/.f64 (+.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) y) (/.f64 (+.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 #s(literal -100 binary64) (/.f64 (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) (.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64)))
(* 100 (/ x y))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (+.f64 (.f64 #s(literal -100 binary64) (/.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 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) 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 #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 #s(literal 100 binary64) (.f64 x x)) (/.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 #s(literal 100 binary64) (.f64 x x)) (/.f64 (+.f64 (.f64 #s(literal 100 binary64) (.f64 x (.f64 x x))) (*.f64 #s(literal -100 binary64) (/.f64 (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 x (+.f64 #s(literal 1/100 binary64) (.f64 (/.f64 y x) #s(literal 1/100 binary64))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(.f64 x (+.f64 #s(literal 1/100 binary64) (.f64 (/.f64 y x) #s(literal 1/100 binary64))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(.f64 x (+.f64 #s(literal 1/100 binary64) (.f64 (/.f64 y x) #s(literal 1/100 binary64))))
(* 1/100 x)
(*.f64 x #s(literal 1/100 binary64))
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(* 100 x)
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(* 100 x)
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(* 100 x)
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(* 100 x)
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(* 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)
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(* 100 x)
(*.f64 #s(literal 100 binary64) x)
(* 100 x)
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eval142.0ms (1.9%)

Compiler: Compiled 20121 to 1840 computations (90.9% saved)

prune141.0ms (1.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1177	3	1180
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1178	11	1189

Accuracy

100.0%

Counts

1189 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64))
✓	56.2%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	45.1%	(/.f64 (*.f64 x #s(literal 100 binary64)) x)
✓	99.8%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
▶	56.2%	(/.f64 x (/.f64 y #s(literal 100 binary64)))
▶	45.4%	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
✓	56.2%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	44.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
✓	56.1%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓	45.5%	#s(literal 100 binary64)

Compiler

Compiled 81 to 58 computations (28.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
20×	`/-lowering-/.f32`
20×	`/-lowering-/.f64`
12×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	19	35
2	33	35
3	45	35
4	46	35
0	46	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize55.0ms (0.7%)

Localize:

Found 7 expressions of interest:

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

Results

35.0ms

256×

valid

Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions

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

ival-div: 8.0ms (47.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (23.7% of total)

ival-mult: 2.0ms (11.9% of total)

ival-add: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

7 → 132

Calls

Call 1

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

Outputs
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt 100>
#<alt (* 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)>
#<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)))>

Calls

33 calls:

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

rewrite371.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3364×	`-lowering-.f32`
3364×	`-lowering-.f64`
2646×	`fma-lowering-fma.f32`
2646×	`fma-lowering-fma.f64`
1962×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	68	27
2	430	27
3	3250	27
0	8927	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 392

Calls

Call 1

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

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

simplify337.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

3910×	`-lowering-.f32`
3910×	`-lowering-.f64`
2156×	`/-lowering-/.f32`
2156×	`/-lowering-/.f64`
1398×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	955
1	740	903
2	2018	834
3	7338	834
0	8221	834

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
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)
(* 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)))

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

eval86.0ms (1.1%)

Compiler: Compiled 8621 to 1263 computations (85.3% saved)

prune74.0ms (1%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	524	0	524
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	524	11	535

Accuracy

100.0%

Counts

535 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64))
✓	56.2%	(/.f64 (*.f64 x #s(literal 100 binary64)) y)
✓	45.1%	(/.f64 (*.f64 x #s(literal 100 binary64)) x)
✓	99.8%	(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))
✓	56.2%	(/.f64 x (/.f64 y #s(literal 100 binary64)))
✓	45.4%	(/.f64 x (*.f64 x #s(literal 1/100 binary64)))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
✓	56.2%	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
✓	44.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))
✓	56.1%	(*.f64 #s(literal 100 binary64) (/.f64 x y))
✓	45.5%	#s(literal 100 binary64)

Compiler

Compiled 176 to 92 computations (47.7% saved)

regimes35.0ms (0.5%)

Counts

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

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

Calls

3 calls:

24.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
5.0ms	x
5.0ms	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)

regimes11.0ms (0.1%)

Counts

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

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

Calls

2 calls:

7.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
78.4%	3	`x`
77.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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
#s(literal 100 binary64)
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
#s(literal 100 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`x`

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.2%	3	`x`

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:

3.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
45.5%	1	`y`
45.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch9.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1654805433818019e+47	1.2260038758113635e+47
6.0ms	-3.3259052726853608e+72	-8.967150730360069e+71

Results

5.0ms

96×

valid

Compiler

Compiled 86 to 70 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (46.5% of total)

ival-add: 1.0ms (46.5% of total)

ival-mult: 1.0ms (46.5% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1654805433818019e+47	1.2260038758113635e+47
8.0ms	-3.3259052726853608e+72	-8.967150730360069e+71

Results

6.0ms

96×

valid

Compiler

Compiled 86 to 70 computations (18.6% saved)

Precisions

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

ival-div: 2.0ms (57.7% of total)

ival-add: 1.0ms (28.8% of total)

ival-mult: 1.0ms (28.8% of total)

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1654805433818019e+47	1.2260038758113635e+47
6.0ms	-3.3259052726853608e+72	-8.967150730360069e+71

Results

5.0ms

96×

valid

Compiler

Compiled 86 to 70 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (48.3% of total)

ival-add: 1.0ms (48.3% of total)

ival-mult: 1.0ms (48.3% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	60
1	43	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal -1800000000000000173466460630997511261118790697572396661257473701003132928 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 117999999999999998683438406150456752183697211392 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -950000000000000015267520632146663327308309738903374431086430371279011840 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 120000000000000009317983086139477767345535975424 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -900000000000000086733230315498755630559395348786198330628736850501566464 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 120000000000000009317983086139477767345535975424 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64)))
#s(literal 100 binary64)

Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y)))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y)))
(if (<=.f64 x #s(literal -1800000000000000173466460630997511261118790697572396661257473701003132928 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 117999999999999998683438406150456752183697211392 binary64)) (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -950000000000000015267520632146663327308309738903374431086430371279011840 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 120000000000000009317983086139477767345535975424 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -950000000000000015267520632146663327308309738903374431086430371279011840 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 120000000000000009317983086139477767345535975424 binary64)) (*.f64 x (/.f64 #s(literal 100 binary64) y)) #s(literal 100 binary64)))
(if (<=.f64 x #s(literal -900000000000000086733230315498755630559395348786198330628736850501566464 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 120000000000000009317983086139477767345535975424 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64)))
#s(literal 100 binary64)

soundness1.6s (21%)

Rules

4720×	`-lowering-.f32`
4720×	`-lowering-.f64`
3882×	`-lowering-.f32`
3882×	`-lowering-.f64`
3364×	`-lowering-.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	236	1649
1	786	1526
2	2150	1417
3	7740	1417
0	8313	1417
0	8	25
1	40	25
2	270	25
3	2676	25
0	8597	25
0	6	7
1	10	7
2	13	7
3	14	7
0	14	7
0	17	53
1	92	53
2	534	53
3	4179	53
0	8074	53

Stop Event

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

Compiler

Compiled 201 to 128 computations (36.3% saved)

preprocess67.0ms (0.9%)

Compiler: Compiled 164 to 88 computations (46.3% saved)

analyze153.0ms (2%)

sample1.2s (16%)

preprocess72.0ms (1%)

explain73.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize193.0ms (2.6%)

series6.0ms (0.1%)

rewrite653.0ms (8.7%)

simplify291.0ms (3.9%)

eval103.0ms (1.4%)

prune75.0ms (1%)

simplify177.0ms (2.4%)

localize74.0ms (1%)

series11.0ms (0.1%)

rewrite281.0ms (3.7%)

simplify280.0ms (3.7%)

eval91.0ms (1.2%)

prune71.0ms (0.9%)

simplify10.0ms (0.1%)

localize88.0ms (1.2%)

series15.0ms (0.2%)

rewrite354.0ms (4.7%)

simplify285.0ms (3.8%)

eval142.0ms (1.9%)

prune141.0ms (1.9%)

simplify6.0ms (0.1%)

localize55.0ms (0.7%)

series3.0ms (0%)

rewrite371.0ms (4.9%)

simplify337.0ms (4.5%)

eval86.0ms (1.1%)

prune74.0ms (1%)

regimes35.0ms (0.5%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.6s (21%)

preprocess67.0ms (0.9%)

end0.0ms (0%)

Profiling