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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze46.0ms (0.9%)

Memory

-1.8MiB live, 37.3MiB 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 9 to 8 computations (11.1% saved)

sample1.0s (20.3%)

Memory

15.2MiB live, 1 005.7MiB allocated

Samples

506.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-mult: 178.0ms (58.4% of total)

ival-div: 68.0ms (22.3% of total)

ival-add: 47.0ms (15.4% of total)

ival-true: 5.0ms (1.6% of total)

exact: 4.0ms (1.3% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain112.0ms (2.2%)

Memory

-7.4MiB live, 110.7MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`	o/n	1	0
↳	`(*.f64 x #s(literal 100 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-mult: 5.0ms (41.1% of total)

ival-div: 3.0ms (24.6% of total)

ival-add: 3.0ms (24.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess41.0ms (0.8%)

Memory

-5.5MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Rules

344×	`times-frac`
280×	`associate-l`
248×	`associate-r`
168×	`unsub-neg`
138×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	47	35
2	115	35
3	267	35
4	700	35
5	1152	35
6	1508	35
7	1542	35
8	1590	35
9	1622	35
0	6	7
0	9	7
1	13	7
2	16	7
3	17	7
0	17	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
2	16	16
3	17	16
0	17	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

-8.3MiB live, 28.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 x #s(literal 100 binary64))
accuracy	0.41402626741718873	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 5.0ms (59.4% of total)

ival-div: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())

#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 100 binary64)) (patch (.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify189.0ms (3.7%)

Memory

23.1MiB live, 179.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 982×	`lower-fma.f64`
15 982×	`lower-fma.f32`
4 158×	`lower-*.f64`
4 158×	`lower-*.f32`
2 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	445
1	400	440
2	985	420
3	3160	406
4	7109	406
0	8148	375

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite234.0ms (4.5%)

Memory

3.0MiB live, 196.7MiB allocated

Rules

4 492×	`lower-/.f32`
4 490×	`lower-/.f64`
3 630×	`lower-*.f32`
3 628×	`lower-*.f64`
3 278×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	34	13
2	218	13
3	2144	13
0	8195	13

Stop Event

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

Counts

3 → 323

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) #s(literal -100 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 100 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 y x)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (.f64 #s(literal -100 binary64) x) (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal -100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (-.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (.f64 x x)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 100 binary64) (+.f64 y x)))
(.f64 (pow.f64 (.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 100 binary64) (+.f64 y x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 y x)))
(.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 100 binary64) (.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) (.f64 x (-.f64 x y))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 #s(literal 100 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (.f64 (-.f64 x y) x))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (-.f64 x y)) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) x))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (*.f64 #s(literal 100 binary64) x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (pow.f64 (.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) x))
(*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 (neg.f64 (+.f64 y x)) x) #s(literal -1 binary64)))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 x) (+.f64 y x)))
(.f64 #s(literal -100 binary64) (.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
(.f64 (-.f64 x y) (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 100 binary64) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 #s(literal 100 binary64) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x)))
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 y x)))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (.f64 x (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (-.f64 (.f64 (.f64 (neg.f64 y) (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (.f64 (neg.f64 y) (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))))) (.f64 (.f64 x (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y)))) (.f64 (neg.f64 y) (.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal 100 binary64) (-.f64 x y))))))))
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(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 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))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.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)))))
(/.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(/.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x y) (.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (-.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (.f64 y y) (.f64 #s(literal 1 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (.f64 x x) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (.f64 y y) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval246.0ms (4.8%)

Memory: -16.1MiB live, 110.6MiB allocated
Compiler: Compiled 8 511 to 1 130 computations (86.7% saved)

prune316.0ms (6.1%)

Memory

-19.5MiB live, 97.5MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	371	6	377
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	371	7	378

Accuracy

100.0%

Counts

378 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)))
▶	99.8%	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
▶	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
▶	48.0%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
▶	52.0%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
▶	48.8%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 83 to 80 computations (3.6% saved)

simplify5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

32×	`lower-*.f32`
26×	`lower-*.f64`
18×	`lower-/.f32`
16×	`*-commutative`
10×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	29	97
1	43	97
2	49	97
3	51	97
0	51	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1%)

Memory

30.2MiB live, 67.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(/.f64 x (+.f64 y x))
accuracy	0.12722599847004276	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
accuracy	0	(/.f64 #s(literal -100 binary64) x)
accuracy	0.09765625	(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
accuracy	33.287785014004946	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
accuracy	0	(/.f64 #s(literal 100 binary64) y)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
accuracy	30.667615436828758	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
accuracy	32.78244836504428	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.0234375	(/.f64 #s(literal 100 binary64) (+.f64 y x))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)

Samples

42.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

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

ival-div: 8.0ms (41.3% of total)

ival-mult: 7.0ms (36.1% of total)

ival-add: 4.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.5%)

Memory

-9.8MiB live, 27.1MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())

Outputs
#s(alt 100 (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 100 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) (patch (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 100 (* -100 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 100 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ ( x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -100 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((* (/ 100 (+ y x)) x) (/ 100 (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)))
2.0ms	x	@	0	((* (/ 100 (+ y x)) x) (/ 100 (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)))
1.0ms	y	@	inf	((* (/ 100 (+ y x)) x) (/ 100 (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)))
1.0ms	x	@	inf	((* (/ 100 (+ y x)) x) (/ 100 (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)))
1.0ms	x	@	-inf	((* (/ 100 (+ y x)) x) (/ 100 (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)))

simplify256.0ms (5%)

Memory

1.5MiB live, 186.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
3 574×	`lower-*.f64`
3 574×	`lower-*.f32`
2 868×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	2886
1	948	2725
2	2427	2589
3	7301	2542
0	8531	2344

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 258

Calls

Call 1

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

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

rewrite323.0ms (6.2%)

Memory

-32.1MiB live, 203.2MiB allocated

Rules

4 070×	`lower-*.f32`
4 064×	`lower-*.f64`
3 528×	`lower-fma.f32`
3 526×	`lower-fma.f64`
3 354×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	80
0	29	80
1	113	80
2	654	80
3	7190	80
0	8287	80

Stop Event

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

Counts

12 → 664

Calls

Call 1

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

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

eval236.0ms (4.6%)

Memory: 22.8MiB live, 209.1MiB allocated
Compiler: Compiled 18 541 to 2 016 computations (89.1% saved)

prune261.0ms (5%)

Memory

19.3MiB live, 217.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 038	3	1 041
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 040	8	1 048

Accuracy

100.0%

Counts

1 048 → 8

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 (+.f64 x y) x))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
▶	51.9%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	48.0%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
▶	51.9%	#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y)))
✓	52.0%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
✓	48.8%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 48 to 47 computations (2.1% saved)

simplify7.0ms (0.1%)

Memory

-29.0MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) x)
cost-diff	384	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff	0	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
cost-diff	0	(*.f64 #s(literal 1/100 binary64) y)
cost-diff	0	(/.f64 x (*.f64 #s(literal 1/100 binary64) y))
cost-diff	0	#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y)))

Rules

20×	`lower-/.f32`
20×	`lower-*.f32`
16×	`lower-*.f64`
12×	`lower-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	25	68
1	34	68
2	36	68
3	37	68
0	37	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize46.0ms (0.9%)

Memory

-3.3MiB live, 72.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0.015625	(/.f64 (+.f64 x y) x)
accuracy	0.18802678689002006	(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))
accuracy	0	(/.f64 x y)
accuracy	0.12722599847004276	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
accuracy	30.668134943814323	#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy	0.16015625	(*.f64 #s(literal 1/100 binary64) y)
accuracy	0.1796875	(/.f64 x (*.f64 #s(literal 1/100 binary64) y))
accuracy	30.667615436828758	#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y)))

Samples

36.0ms

256×

valid

Compiler

Compiled 56 to 17 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 16.0ms (61.5% of total)

ival-mult: 5.0ms (19.2% of total)

const: 3.0ms (11.5% of total)

ival-add: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

Outputs
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/100 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/100 binary64) y) (patch (.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
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#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 x (.f64 #s(literal 1/100 binary64) y))) (patch #s(approx (/ ( x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (.f64 #s(literal 1/100 binary64) y)) (patch (/.f64 x (.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) x) (patch (/.f64 (+.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ 100 (/ (+ x y) x)) (/ (+ x y) x) (+ x y))
1.0ms	x	@	-inf	((/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ 100 (/ (+ x y) x)) (/ (+ x y) x) (+ x y))
1.0ms	x	@	inf	((/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ 100 (/ (+ x y) x)) (/ (+ x y) x) (+ x y))
1.0ms	y	@	0	((/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ 100 (/ (+ x y) x)) (/ (+ x y) x) (+ x y))
1.0ms	y	@	inf	((/ (* x 100) (+ x y)) (/ x (* 1/100 y)) (* 1/100 y) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ 100 (/ (+ x y) x)) (/ (+ x y) x) (+ x y))

simplify165.0ms (3.2%)

Memory

5.5MiB live, 174.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 072×	`lower-fma.f64`
10 072×	`lower-fma.f32`
3 786×	`lower-*.f64`
3 786×	`lower-*.f32`
2 464×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1737
1	687	1704
2	1713	1614
3	5914	1612
0	8356	1527

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 198

Calls

Call 1

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

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

rewrite134.0ms (2.6%)

Memory

-8.2MiB live, 223.3MiB allocated

Rules

3 894×	`lower-*.f32`
3 890×	`lower-*.f64`
2 802×	`lower-/.f32`
2 794×	`lower-/.f64`
2 264×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	25	59
1	98	59
2	560	59
3	5850	59
0	8336	59

Stop Event

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

Counts

9 → 525

Calls

Call 1

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

Outputs
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/100 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -100 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -100 binary64) x))
(*.f64 (/.f64 #s(literal -100 binary64) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -100 binary64) (/.f64 x y)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) x))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 100 binary64) x) y))
(*.f64 #s(literal -100 binary64) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) y))
(*.f64 (/.f64 x y) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) y) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 100 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 100 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 1/100 binary64) y) x) (/.f64 (*.f64 #s(literal 1/100 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/100 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) y) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) y)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -100 binary64) x)) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -1/100 binary64) y))
(/.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 1/100 binary64) y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -1/100 binary64) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1/100 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/100 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/100 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/100 binary64) x))
(/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/100 binary64) y) x))
(/.f64 (*.f64 #s(literal -100 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1/100 binary64) y))
(/.f64 (/.f64 x y) #s(literal 1/100 binary64))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/.f64 #s(literal 100 binary64) (/.f64 y x))
(/.f64 x (*.f64 #s(literal 1/100 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/100 binary64) y) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -100 binary64) (/.f64 x y))))
(neg.f64 (*.f64 #s(literal -100 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -100 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -1/100 binary64) y)) (.f64 #s(literal -100 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -100 binary64) (/.f64 x y)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 1/100 binary64) y)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 1/100 binary64) y) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/100 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/100 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/100 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/100 binary64))
(.f64 (.f64 #s(literal 1/100 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/100 binary64) y)
(*.f64 y #s(literal 1/100 binary64))
(pow.f64 (/.f64 #s(literal 100 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/100 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) y))
(/.f64 (*.f64 #s(literal -1/100 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/100 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/100 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/100 binary64) y))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 1/100 binary64) y)) #s(literal -1 binary64))))
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ x (+ y x)) (/.f64 x y)))
#s(approx (/ x (+ y x)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (-.f64 (.f64 (log.f64 y) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) x)) (-.f64 x y))
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) x)) (-.f64 y x))
(.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 (-.f64 x y) x (.f64 y y)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal 1 binary64)) x)
(.f64 (/.f64 (.f64 #s(literal -100 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (.f64 (/.f64 #s(literal -100 binary64) (+.f64 y x)) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))))) (-.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))))) (-.f64 y x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 y x))) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (pow.f64 (.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 y x)))
(.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal -1 binary64)) (.f64 (-.f64 x y) (.f64 #s(literal 100 binary64) x)))
(.f64 (pow.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) #s(literal -1 binary64)) (.f64 (-.f64 y x) (.f64 #s(literal 100 binary64) x)))
(.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 #s(literal 100 binary64) x)))
(.f64 (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 (neg.f64 y) y (.f64 x x))) (*.f64 (-.f64 x y) #s(literal 100 binary64)))
(.f64 (/.f64 x (fma.f64 (neg.f64 x) x (.f64 y y))) (/.f64 #s(literal 100 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 (neg.f64 x) x (.f64 y y))) (*.f64 (-.f64 y x) #s(literal 100 binary64)))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 100 binary64) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 100 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (pow.f64 (-.f64 x y) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y))
(.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (pow.f64 (-.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (-.f64 y x))
(.f64 (.f64 x (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64)))
(.f64 (.f64 x (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 y x)) (neg.f64 x))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (/.f64 x (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y))) (*.f64 (-.f64 x y) x))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (.f64 x x))) (*.f64 (-.f64 y x) x))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) x))
(*.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -100 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
(.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (.f64 #s(literal 100 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -100 binary64) (/.f64 x (+.f64 y x))))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
(.f64 (-.f64 x y) (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y)))))
(.f64 (-.f64 y x) (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(.f64 (.f64 #s(literal -100 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal 100 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -100 binary64) (+.f64 y x)))
(.f64 (.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 100 binary64) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x)))
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 y x)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 y x)) (log.f64 #s(literal 100 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) #s(literal 1/100 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 (*.f64 #s(literal -100 binary64) x) #s(literal -1 binary64)) (+.f64 y x))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)))
(/.f64 (.f64 (.f64 x (/.f64 #s(literal -100 binary64) (fma.f64 (neg.f64 x) x (.f64 y y)))) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 y x))
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(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (-.f64 x y) x)))
(.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x y) x) (-.f64 (.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)))
(.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)))
(.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(.f64 (+.f64 y x) (.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 y x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) #s(literal -1 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))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 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 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 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))) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 y x) (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 x y) x (.f64 y y)) (-.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)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x y) x (.f64 y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 x y))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) x (.f64 y y))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) y (.f64 x x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 1 binary64)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)

eval90.0ms (1.7%)

Memory: 0.0MiB live, 235.9MiB allocated
Compiler: Compiled 10 848 to 1 662 computations (84.7% saved)

prune114.0ms (2.2%)

Memory

10.5MiB live, 292.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	722	1	723
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	723	8	731

Accuracy

100.0%

Counts

731 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶	51.8%	(/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x)))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
✓	51.9%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	48.0%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
✓	51.9%	#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y)))
✓	52.0%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
✓	48.8%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 47 to 47 computations (0% saved)

simplify4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

6×	`lower-/.f32`
4×	`lift-/.f64`
4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	10	26
1	11	26
0	11	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.4%)

Memory

-27.4MiB live, 51.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.18802678689002006	(/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x)))
accuracy	30.450351116089358	#s(approx (/ (+ x y) x) (/.f64 y x))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-div: 5.0ms (60.7% of total)

ival-add: 2.0ms (24.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.1MiB live, 13.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs

#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())

#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())

#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) x) (/.f64 y x)) (patch #s(approx (/ (+ x y) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify385.0ms (7.5%)

Memory

-0.3MiB live, 276.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 874×	`lower-fma.f64`
16 874×	`lower-fma.f32`
4 448×	`lower-*.f64`
4 448×	`lower-*.f32`
2 712×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	523
1	366	518
2	893	498
3	2289	484
4	7004	482
0	8377	451

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite179.0ms (3.5%)

Memory

-16.3MiB live, 189.0MiB allocated

Rules

4 452×	`lower-/.f32`
4 448×	`lower-/.f64`
4 298×	`lower-fma.f64`
4 298×	`lower-fma.f32`
3 748×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	10	23
1	45	23
2	260	23
3	2267	23
0	8361	23

Stop Event

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

Counts

3 → 78

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: 31.1MiB live, 31.1MiB allocated
Compiler: Compiled 1 492 to 336 computations (77.5% saved)

prune34.0ms (0.7%)

Memory

4.3MiB live, 41.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	150	8	158

Accuracy

100.0%

Counts

158 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	51.8%	(/.f64 #s(literal 100 binary64) #s(approx (/ (+ x y) x) (/.f64 y x)))
✓	99.8%	(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
✓	51.9%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	48.0%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
✓	51.9%	#s(approx (/ (* x 100) (+ x y)) (/.f64 x (*.f64 #s(literal 1/100 binary64) y)))
✓	52.0%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
✓	48.8%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 117 to 82 computations (29.9% saved)

regimes17.0ms (0.3%)

Memory

-20.7MiB live, 25.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
4.0ms	x
4.0ms	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 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

-19.4MiB live, 17.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Results

Accuracy	Segments	Branch
74.2%	3	`x`
78.2%	3	`y`
97.7%	2	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

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

Calls

3 calls:

1.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`y`
48.8%	1	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001048423455003432	99.99999999999977

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001048423455003432	99.99999999999977

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify24.0ms (0.5%)

Memory

22.3MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	85
1	28	85

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ ( x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ ( x 100) (+ x y)) #s(literal 100 binary64)))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Outputs
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 y x)) x)
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ ( x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ ( x 100) (+ x y)) (.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ ( x 100) (+ x y)) #s(literal 100 binary64)))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

soundness446.0ms (8.6%)

Memory

-22.2MiB live, 250.4MiB allocated

Rules

15 982×	`lower-fma.f64`
15 982×	`lower-fma.f32`
4 492×	`lower-/.f32`
4 490×	`lower-/.f64`
4 158×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	445
1	400	440
2	985	420
3	3160	406
4	7109	406
0	8148	375
0	6	13
0	9	13
1	34	13
2	218	13
3	2144	13
0	8195	13

Stop Event

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

Compiler

Compiled 89 to 53 computations (40.4% saved)

preprocess39.0ms (0.8%)

Memory: 32.7MiB live, 105.5MiB allocated
Compiler: Compiled 132 to 68 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze46.0ms (0.9%)

sample1.0s (20.3%)

explain112.0ms (2.2%)

preprocess41.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.4%)

series5.0ms (0.1%)

simplify189.0ms (3.7%)

rewrite234.0ms (4.5%)

eval246.0ms (4.8%)

prune316.0ms (6.1%)

simplify5.0ms (0.1%)

localize52.0ms (1%)

series26.0ms (0.5%)

simplify256.0ms (5%)

rewrite323.0ms (6.2%)

eval236.0ms (4.6%)

prune261.0ms (5%)

simplify7.0ms (0.1%)

localize46.0ms (0.9%)

series11.0ms (0.2%)

simplify165.0ms (3.2%)

rewrite134.0ms (2.6%)

eval90.0ms (1.7%)

prune114.0ms (2.2%)

simplify4.0ms (0.1%)

localize19.0ms (0.4%)

series5.0ms (0.1%)

simplify385.0ms (7.5%)

rewrite179.0ms (3.5%)

eval16.0ms (0.3%)

prune34.0ms (0.7%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify24.0ms (0.5%)

soundness446.0ms (8.6%)

preprocess39.0ms (0.8%)

end0.0ms (0%)

Profiling