Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze32.0ms (1.1%)

Memory

-14.1MiB live, 32.6MiB allocated

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 7 to 6 computations (14.3% saved)

sample659.0ms (22.2%)

Memory

16.0MiB live, 1 050.8MiB allocated

Samples

372.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 96.0ms (56.2% of total)

ival-add: 64.0ms (37.5% of total)

ival-true: 7.0ms (4.1% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain72.0ms (2.4%)

Memory

-20.0MiB live, 76.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(/.f64 x (+.f64 y x))`
-	-	`(+.f64 y x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-div: 4.0ms (52% of total)

ival-add: 3.0ms (39% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess14.0ms (0.5%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	35	29
4	41	29
5	47	29
6	47	29
0	4	5
0	6	5
1	7	5
0	7	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))

Outputs
(/.f64 x (+.f64 y x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (+.f64 y x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 x (+.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	7	10
0	7	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y

Outputs
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y

localize49.0ms (1.7%)

Memory

-23.4MiB live, 19.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (52.8% of total)

ival-add: 2.0ms (52.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 25

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(+.f64 y x)

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

Calls

6 calls:

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

simplify318.0ms (10.7%)

Memory

37.8MiB live, 228.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 23

Calls

Call 1

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

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

rewrite251.0ms (8.5%)

Memory

-19.8MiB live, 215.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	23	8
2	144	8
3	1402	8
0	9140	8

Stop Event

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

Counts

2 → 274

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(+.f64 y x)

Outputs
(*.f64 (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))
(.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y)))
(*.f64 (-.f64 y x) (/.f64 x (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (-.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))) (-.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x))) (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)))) (-.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))) (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)))) (-.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (.f64 (.f64 y y) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (-.f64 y x) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (-.f64 (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))) (.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (-.f64 y x) x)) (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))))))
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(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 x (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 y (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) y) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) x) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) x) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) y) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 x (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 y (fma.f64 (-.f64 y x) x (.f64 y y))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) x) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) y) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (.f64 y y)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (-.f64 y x) x (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x)))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 y) x)
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 x) y)
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x (neg.f64 y))
(+.f64 x y)

eval54.0ms (1.8%)

Memory: 5.2MiB live, 48.6MiB allocated
Compiler: Compiled 9 490 to 963 computations (89.9% saved)

prune5.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	287	4	291
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	287	5	292

Accuracy

100.0%

Counts

292 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
▶	50.3%	#s(approx (/ x (+ y x)) (/.f64 x y))
▶	50.4%	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	49.1%	#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
▶	50.9%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 47 to 34 computations (27.7% saved)

simplify8.0ms (0.3%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	86
0	21	86
1	30	86
2	35	86
3	40	86
4	57	86
5	83	86
6	113	86
7	147	86
8	181	86
9	199	86
10	205	86
11	205	86
0	205	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize174.0ms (5.9%)

Memory

-42.7MiB live, 61.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	31.838331718915203	#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	31.775062663034486	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.05859375	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
accuracy	2.76862023518668	(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
accuracy	32.43189187888918	#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
accuracy	31.403016364773727	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Samples

132.0ms

256×

valid

Compiler

Compiled 66 to 13 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sub: 45.0ms (80.4% of total)

ival-div: 7.0ms (12.5% of total)

ival-add: 2.0ms (3.6% of total)

ival-mult: 2.0ms (3.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series10.0ms (0.4%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

10 → 39

Calls

Call 1

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

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

Calls

6 calls:

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

simplify236.0ms (8%)

Memory

10.0MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	460
1	420	422
2	1109	404
3	4296	399
0	8330	389

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

rewrite157.0ms (5.3%)

Memory

20.7MiB live, 156.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
0	21	74
1	74	74
2	464	74
3	5928	74
0	8516	74

Stop Event

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

Counts

10 → 163

Calls

Call 1

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

Outputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y))
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) x) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 y (.f64 (/.f64 x y) y)) x) (*.f64 y y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (/.f64 x y)) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 x (-.f64 y (.f64 (/.f64 x y) y))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) y)
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 x)) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 x)) (.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) x) (.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 x)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 x)) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) x) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) (neg.f64 y)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)) x))
(/.f64 (/.f64 (-.f64 y (*.f64 (/.f64 x y) y)) (fabs.f64 y)) (fabs.f64 y))
(/.f64 (/.f64 (-.f64 y (*.f64 (/.f64 x y) y)) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 y (*.f64 (/.f64 x y) y)) y) y)
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 y (.f64 (/.f64 x y) y))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (neg.f64 x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) (/.f64 x y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 (neg.f64 y) x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 y) (.f64 y (/.f64 (neg.f64 x) y))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (.f64 y (neg.f64 x))) (.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 y))
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (*.f64 y (-.f64 y x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) y))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 y (.f64 (/.f64 x y) y)) (.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 y (.f64 y y)) (/.f64 (.f64 (/.f64 x y) y) (*.f64 y y)))
(-.f64 (pow.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 4 binary64))) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 6 binary64))) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
#s(approx (/ x (+ y x)) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))

eval54.0ms (1.8%)

Memory: -21.1MiB live, 35.3MiB allocated
Compiler: Compiled 5 638 to 877 computations (84.4% saved)

prune4.0ms (0.1%)

Memory

10.9MiB live, 11.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	196	5	201

Accuracy

100.0%

Counts

201 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
✓	50.3%	#s(approx (/ x (+ y x)) (/.f64 x y))
✓	50.4%	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶	34.0%	#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
✓	50.9%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 55 to 38 computations (30.9% saved)

simplify9.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (-.f64 y x) (*.f64 y y))
cost-diff	0	#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
cost-diff	0	(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
cost-diff	0	#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	18	70
1	34	70
2	63	70
3	107	70
4	157	70
5	196	70
6	212	70
7	222	70
8	232	70
9	237	70
10	242	70
0	242	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 y x) (*.f64 y y))
(-.f64 y x)
y
x
(*.f64 y y)

Outputs
#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y)) x))
(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y)) x)
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (/.f64 (-.f64 y x) y) y))
(/.f64 (-.f64 y x) (*.f64 y y))
(/.f64 (/.f64 (-.f64 y x) y) y)
(-.f64 y x)
y
x
(*.f64 y y)

localize89.0ms (3%)

Memory

-40.0MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
accuracy	2.76862023518668	(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
accuracy	18.041497799952893	(/.f64 (-.f64 y x) (*.f64 y y))
accuracy	32.43189187888918	#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 6.0ms (42.9% of total)

ival-mult: 3.0ms (21.4% of total)

ival-sub: 2.0ms (14.3% of total)

ival-add: 2.0ms (14.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

4 → 29

Calls

Call 1

Inputs
#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 y x) (*.f64 y y))

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

Calls

6 calls:

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

simplify159.0ms (5.4%)

Memory

30.6MiB live, 210.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	395
1	394	358
2	1071	340
3	4185	337
0	8300	327

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite195.0ms (6.6%)

Memory

-34.4MiB live, 174.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
0	18	62
1	74	62
2	463	62
3	5918	62
0	8394	62

Stop Event

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

Counts

4 → 100

Calls

Call 1

Inputs
#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
(.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x)
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 y x) (*.f64 y y))

Outputs
#s(approx (/ x (+ y x)) (*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x))
(*.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(*.f64 x #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(.f64 (/.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) (neg.f64 y)) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) y))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) (neg.f64 y)) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 y)))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) y) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) y))
(.f64 (/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) y) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (neg.f64 y)))
(*.f64 (/.f64 (-.f64 y x) (+.f64 y x)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (*.f64 y y)))
(.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (*.f64 (neg.f64 y) y)))
(.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (/.f64 (-.f64 y x) (.f64 (.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) y) y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(.f64 (-.f64 y x) (/.f64 (+.f64 y x) (.f64 (*.f64 (+.f64 y x) y) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(.f64 (+.f64 y x) (/.f64 (-.f64 y x) (.f64 (*.f64 (+.f64 y x) y) y)))
(/.f64 (/.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 y y)) (.f64 y y))
(/.f64 (/.f64 (-.f64 y (*.f64 (/.f64 x y) y)) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (-.f64 y (*.f64 (/.f64 x y) y)) y) y)
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 y x))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 y (.f64 (/.f64 x y) y))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (neg.f64 x))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 (neg.f64 y) x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) (.f64 y (neg.f64 x))) (.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) (*.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 y) (/.f64 x y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 y (/.f64 (neg.f64 x) y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (.f64 y y) (.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 y) y) (neg.f64 x))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y))) (.f64 (*.f64 (neg.f64 y) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 y) y) x)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (neg.f64 y) y) (.f64 (*.f64 y y) (/.f64 (neg.f64 x) y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 y (.f64 (neg.f64 y) y)) (.f64 (.f64 y y) (neg.f64 x))) (.f64 (.f64 y y) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 (*.f64 y y) (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (+.f64 y x) y) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 (+.f64 y x) y) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) y) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (*.f64 y (-.f64 y x)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) y) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (-.f64 y (.f64 (/.f64 x y) y)) (.f64 y y))
(/.f64 (.f64 (.f64 y y) (-.f64 y x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) (*.f64 (neg.f64 y) y)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (neg.f64 (.f64 (*.f64 (+.f64 y x) y) y)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (*.f64 (+.f64 y x) y) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 y x) x (.f64 y y))) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 y x) x (.f64 y y))) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) y) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) y) y))
(/.f64 (-.f64 y x) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 y x) (*.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(neg.f64 (/.f64 (-.f64 y (.f64 (/.f64 x y) y)) (.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y)) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) (pow.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (.f64 (.f64 y y) x) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 y y) (.f64 (.f64 (+.f64 y x) y) y)) (/.f64 (.f64 x x) (.f64 (.f64 (+.f64 y x) y) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) y) y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) y) y)))
(-.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 y y)) (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 y y)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 y y)))
(-.f64 (/.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 (neg.f64 y) y)) (/.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (neg.f64 y) y)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (neg.f64 y) y)))
(-.f64 (/.f64 y (.f64 (neg.f64 y) y)) (/.f64 x (.f64 (neg.f64 y) y)))
(-.f64 (pow.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(-.f64 (pow.f64 (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) y))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) (neg.f64 y)))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (/.f64 x y) y) (.f64 y y)))
(-.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) y))
(+.f64 (/.f64 (.f64 y y) (.f64 (.f64 (+.f64 y x) y) y)) (/.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (+.f64 y x) y) y)))
(+.f64 (pow.f64 (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))

eval15.0ms (0.5%)

Memory: -6.1MiB live, 39.9MiB allocated
Compiler: Compiled 3 987 to 689 computations (82.7% saved)

prune4.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	120	5	125

Accuracy

100.0%

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 y x))
✓	50.3%	#s(approx (/ x (+ y x)) (/.f64 x y))
✓	50.4%	#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	34.0%	#s(approx (/ x (+ y x)) (.f64 #s(approx (/ (- 1 (/ x y)) y) (/.f64 (-.f64 y x) (.f64 y y))) x))
✓	50.9%	#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Compiler

Compiled 125 to 65 computations (48% saved)

regimes7.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 y x))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 x (+.f64 y x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 x (+.f64 y x))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes15.0ms (0.5%)

Memory

-36.3MiB live, 29.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
2.0ms	y
1.0ms	(/.f64 x (+.f64 y x))

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 y x))`
72.8%	3	`x`
77.8%	3	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(/.f64 x (+.f64 y x))

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Outputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 x (+.f64 y x))

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`y`
50.9%	1	`(/.f64 x (+.f64 y x))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0739066912247692	0.7241852679523264

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0739066912247692	0.7241852679523264

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify12.0ms (0.4%)

Memory

-19.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	22	64
2	30	64
3	37	64
4	39	64

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

Outputs
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

soundness324.0ms (10.9%)

Memory

3.4MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	321
1	374	299
2	1035	281
3	3960	278
0	8121	264

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 34 computations (55.8% saved)

preprocess22.0ms (0.7%)

Memory: 3.7MiB live, 50.3MiB allocated
Compiler: Compiled 138 to 42 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	86
0	21	86
1	30	86
2	35	86
3	40	86
4	57	86
5	83	86
6	113	86
7	147	86
8	181	86
9	199	86
10	205	86
11	205	86
0	205	86

Iter	Nodes	Cost
0	14	70
0	18	70
1	34	70
2	63	70
3	107	70
4	157	70
5	196	70
6	212	70
7	222	70
8	232	70
9	237	70
10	242	70
0	242	70

Iter	Nodes	Cost
0	15	86
0	21	86
1	30	86
2	35	86
3	40	86
4	57	86
5	83	86
6	113	86
7	147	86
8	181	86
9	199	86
10	205	86
11	205	86
0	205	86

Iter	Nodes	Cost
0	14	70
0	18	70
1	34	70
2	63	70
3	107	70
4	157	70
5	196	70
6	212	70
7	222	70
8	232	70
9	237	70
10	242	70
0	242	70

start0.0ms (0%)

analyze32.0ms (1.1%)

sample659.0ms (22.2%)

explain72.0ms (2.4%)

preprocess14.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize49.0ms (1.7%)

series3.0ms (0.1%)

simplify318.0ms (10.7%)

rewrite251.0ms (8.5%)

eval54.0ms (1.8%)

prune5.0ms (0.2%)

simplify8.0ms (0.3%)

localize174.0ms (5.9%)

series10.0ms (0.4%)

simplify236.0ms (8%)

rewrite157.0ms (5.3%)

eval54.0ms (1.8%)

prune4.0ms (0.1%)

simplify9.0ms (0.3%)

localize89.0ms (3%)

series5.0ms (0.2%)

simplify159.0ms (5.4%)

rewrite195.0ms (6.6%)

eval15.0ms (0.5%)

prune4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes15.0ms (0.5%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.4%)

soundness324.0ms (10.9%)

preprocess22.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	86
0	21	86
1	30	86
2	35	86
3	40	86
4	57	86
5	83	86
6	113	86
7	147	86
8	181	86
9	199	86
10	205	86
11	205	86
0	205	86

Iter	Nodes	Cost
0	14	70
0	18	70
1	34	70
2	63	70
3	107	70
4	157	70
5	196	70
6	212	70
7	222	70
8	232	70
9	237	70
10	242	70
0	242	70