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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.7%)

Memory

-18.8MiB live, 19.2MiB 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)

sample1.2s (19.7%)

Memory

-6.3MiB live, 1 034.2MiB allocated

Samples

715.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-mult: 275.0ms (70.3% of total)

ival-div: 59.0ms (15.1% of total)

ival-add: 43.0ms (11% of total)

ival-true: 7.0ms (1.8% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain59.0ms (1%)

Memory

16.2MiB live, 176.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.2% of total)

ival-div: 4.0ms (27% of total)

ival-add: 3.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess46.0ms (0.7%)

Memory

-4.2MiB live, 40.6MiB 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)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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

localize18.0ms (0.3%)

Memory

-7.6MiB live, 31.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 x #s(literal 100 binary64))
accuracy	0.17578125	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 3.0ms (45.2% of total)

ival-mult: 2.0ms (30.1% of total)

ival-add: 1.0ms (15.1% 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

9.6MiB live, 9.6MiB 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))
1.0ms	y	@	-inf	((/ (* x 100) (+ x y)) (* x 100) (+ x y))

simplify184.0ms (3%)

Memory

-11.3MiB live, 179.1MiB 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)

rewrite182.0ms (2.9%)

Memory

29.3MiB live, 182.1MiB 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
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eval65.0ms (1%)

Memory: -27.7MiB live, 58.3MiB allocated
Compiler: Compiled 8 511 to 1 130 computations (86.7% saved)

prune9.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	370	7	377
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	370	8	378

Accuracy

100.0%

Counts

378 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
▶	99.7%	(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
▶	99.8%	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
	99.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
▶	44.9%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
	55.9%	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y))
▶	56.4%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
▶	45.7%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 105 to 98 computations (6.7% saved)

simplify8.0ms (0.1%)

Memory

-30.0MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

44×	`lower-*.f32`
38×	`lower-*.f64`
26×	`lower-/.f32`
22×	`*-commutative`
18×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
0	30	97
1	45	97
2	62	97
3	64	97
0	64	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

17.8MiB live, 90.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.125	(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
accuracy	0.15234375	(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
accuracy	0	(/.f64 #s(literal -100 binary64) x)
accuracy	0.3402661660499158	(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
accuracy	35.25382351695634	#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	0.1953125	(*.f64 (/.f64 #s(literal 100 binary64) y) x)
accuracy	27.799395885433704	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
accuracy	34.752217494592244	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(/.f64 x (+.f64 y x))
accuracy	0.11328125	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))

Samples

41.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 9.0ms (35.9% of total)

ival-mult: 8.0ms (31.9% of total)

ival-add: 4.0ms (16% of total)

const: 4.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-10.9MiB live, 37.2MiB allocated

Counts

12 → 264

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (/ x (+ y x)) 100) (/ x (+ 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) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
2.0ms	y	@	0	((* (/ x (+ y x)) 100) (/ x (+ 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) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms	y	@	inf	((* (/ x (+ y x)) 100) (/ x (+ 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) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms	x	@	inf	((* (/ x (+ y x)) 100) (/ x (+ 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) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms	x	@	-inf	((* (/ x (+ y x)) 100) (/ x (+ 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) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))

simplify152.0ms (2.4%)

Memory

28.7MiB live, 216.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 726×	`lower-fma.f64`
10 726×	`lower-fma.f32`
4 264×	`lower-*.f64`
4 264×	`lower-*.f32`
1 998×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	2555
1	755	2512
2	1902	2378
3	6653	2376
0	8418	2225

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

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

rewrite179.0ms (2.9%)

Memory

19.8MiB live, 246.4MiB allocated

Rules

4 234×	`lower-*.f32`
4 228×	`lower-*.f64`
3 568×	`lower-fma.f32`
3 566×	`lower-fma.f64`
3 486×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	30	80
1	117	80
2	702	80
3	7693	80
0	8156	80

Stop Event

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

Counts

12 → 670

Calls

Call 1

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

Outputs
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eval135.0ms (2.2%)

Memory: 0.8MiB live, 236.0MiB allocated
Compiler: Compiled 17 968 to 1 974 computations (89% saved)

prune27.0ms (0.4%)

Memory

0.1MiB live, 75.9MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 045	2	1 047
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	1 045	10	1 055

Accuracy

100.0%

Counts

1 055 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	99.7%	(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
▶	99.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
▶	56.4%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	44.9%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
▶	55.9%	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y))
▶	56.4%	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
✓	56.4%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
✓	45.7%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 68 to 64 computations (5.9% saved)

simplify179.0ms (2.9%)

Memory

-22.2MiB live, 63.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -100 binary64) x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) 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	(fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))
cost-diff	0	(*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
cost-diff	0	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y)
cost-diff	0	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y))
cost-diff	0	(*.f64 #s(literal 100 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 100 binary64) x) y)
cost-diff	0	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))

Rules

2 296×	`lower-fma.f32`
2 294×	`lower-fma.f64`
1 476×	`lower-*.f32`
1 466×	`lower-*.f64`
718×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	38	123
1	61	121
2	92	121
3	125	121
4	201	121
5	321	121
6	550	121
7	975	121
8	1941	121
9	3127	121
10	3705	121
11	3790	121
12	3805	121
13	3809	121
14	4231	121
15	4419	121
16	4419	121
17	4419	121
18	4435	121
19	4435	121
0	4435	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.2%)

Memory

15.9MiB live, 90.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 #s(literal -100 binary64) x)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy	0.27734375	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
accuracy	0	(/.f64 x y)
accuracy	0.11328125	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
accuracy	27.798155611314076	#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy	0.05859375	(*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
accuracy	0.0859375	(fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))
accuracy	1.9576250117455074	(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y)
accuracy	28.116525960868042	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y))
accuracy	0	(*.f64 #s(literal 100 binary64) x)
accuracy	0.1796875	(/.f64 (*.f64 #s(literal 100 binary64) x) y)
accuracy	27.799395885433704	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))

Samples

57.0ms	253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 103 to 24 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 21.0ms (47.2% of total)

ival-div: 12.0ms (27% of total)

ival-mult: 11.0ms (24.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (1.1%)

Memory

-7.3MiB live, 56.9MiB allocated

Counts

14 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (/ (* x 100) (+ x y)) (/ (* x (+ (* (/ -100 y) x) 100)) y) (* x (+ (* (/ -100 y) x) 100)) (+ (* (/ -100 y) x) 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (* (/ -1 (+ y x)) (* -100 x)) (/ -1 (+ y x)) (+ y x) (* -100 x))
2.0ms	x	@	inf	((/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (/ (* x 100) (+ x y)) (/ (* x (+ (* (/ -100 y) x) 100)) y) (* x (+ (* (/ -100 y) x) 100)) (+ (* (/ -100 y) x) 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (* (/ -1 (+ y x)) (* -100 x)) (/ -1 (+ y x)) (+ y x) (* -100 x))
2.0ms	y	@	-inf	((/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (/ (* x 100) (+ x y)) (/ (* x (+ (* (/ -100 y) x) 100)) y) (* x (+ (* (/ -100 y) x) 100)) (+ (* (/ -100 y) x) 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (* (/ -1 (+ y x)) (* -100 x)) (/ -1 (+ y x)) (+ y x) (* -100 x))
1.0ms	x	@	0	((/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (/ (* x 100) (+ x y)) (/ (* x (+ (* (/ -100 y) x) 100)) y) (* x (+ (* (/ -100 y) x) 100)) (+ (* (/ -100 y) x) 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (* (/ -1 (+ y x)) (* -100 x)) (/ -1 (+ y x)) (+ y x) (* -100 x))
1.0ms	y	@	0	((/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (/ (* x 100) (+ x y)) (/ (* x (+ (* (/ -100 y) x) 100)) y) (* x (+ (* (/ -100 y) x) 100)) (+ (* (/ -100 y) x) 100) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (* (/ -1 (+ y x)) (* -100 x)) (/ -1 (+ y x)) (+ y x) (* -100 x))

simplify193.0ms (3.1%)

Memory

-13.1MiB live, 220.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 536×	`lower-fma.f64`
8 536×	`lower-fma.f32`
3 492×	`lower-*.f64`
3 492×	`lower-*.f32`
2 952×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	3112
1	940	2935
2	2389	2840
3	6487	2822
0	8242	2648

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

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

rewrite142.0ms (2.3%)

Memory

17.8MiB live, 212.7MiB allocated

Rules

5 020×	`lower-*.f32`
5 010×	`lower-*.f64`
4 242×	`lower-fma.f32`
4 240×	`lower-fma.f64`
3 998×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	106
0	38	106
1	142	104
2	806	104
0	8446	104

Stop Event

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

Counts

14 → 705

Calls

Call 1

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

Outputs
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eval384.0ms (6.2%)

Memory: -40.2MiB live, 333.0MiB allocated
Compiler: Compiled 18 231 to 2 522 computations (86.2% saved)

prune28.0ms (0.5%)

Memory

26.9MiB live, 105.1MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 010	1	1 011
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	1 011	10	1 021

Accuracy

100.0%

Counts

1 021 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	99.7%	(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
✓	99.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
✓	56.4%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	44.9%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
✓	56.4%	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
✓	56.4%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
▶	37.2%	#s(approx (/ (* x 100) (+ x y)) #s(approx (/ (* x (+ (* (/ -100 y) x) 100)) y) (/.f64 (.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64)))) (*.f64 y y))))
✓	45.7%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 71 to 66 computations (7% saved)

simplify199.0ms (3.2%)

Memory

16.1MiB live, 127.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

9 402×	`lower-*.f32`
9 396×	`lower-*.f64`
5 080×	`associate-r`
3 778×	`associate-l`
2 730×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	25	92
1	58	92
2	92	92
3	115	92
4	144	92
5	185	89
6	232	89
7	442	89
8	1493	89
9	2226	89
10	2453	89
11	2503	89
12	2533	89
13	2536	89
14	2539	89
15	3091	89
16	3285	89
17	3289	89
18	3332	89
19	3404	89
20	3404	89
21	3404	89
22	3404	89
23	4062	89
24	4297	89
25	4309	89
26	4309	89
27	4309	89
0	9216	84

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.2%)

Memory

-10.1MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 x #s(literal -100 binary64) (*.f64 y #s(literal 100 binary64)))
accuracy	0.13671875	(.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64))))
accuracy	18.696818635266652	(/.f64 (.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64)))) (*.f64 y y))
accuracy	28.116525960868042	#s(approx (/ (* x 100) (+ x y)) #s(approx (/ (* x (+ (* (/ -100 y) x) 100)) y) (/.f64 (.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64)))) (*.f64 y y))))

Samples

65.0ms	253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 41.0ms (71.9% of total)

ival-mult: 12.0ms (21.1% of total)

ival-add: 4.0ms (7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

5 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify230.0ms (3.7%)

Memory

-28.0MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 870×	`lower-fma.f64`
17 870×	`lower-fma.f32`
5 306×	`lower-*.f64`
5 306×	`lower-*.f32`
1 830×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1285
1	445	1232
2	1143	1170
3	2995	1054
0	8155	993

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite640.0ms (10.3%)

Memory

-4.5MiB live, 223.6MiB allocated

Rules

7 060×	`lower-fma.f32`
7 058×	`lower-fma.f64`
6 210×	`lower-*.f32`
6 204×	`lower-*.f64`
4 708×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	25	82
1	125	82
2	837	77
0	8573	75

Stop Event

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

Counts

5 → 329

Calls

Call 1

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

Outputs
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eval58.0ms (0.9%)

Memory: 24.9MiB live, 111.0MiB allocated
Compiler: Compiled 9 791 to 1 718 computations (82.5% saved)

prune15.0ms (0.2%)

Memory

6.3MiB live, 42.4MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	449	0	449
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	449	10	459

Accuracy

100.0%

Counts

459 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
✓	99.7%	(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
✓	99.8%	(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
✓	99.6%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
✓	56.4%	(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
✓	44.9%	#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
✓	56.4%	#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
✓	56.4%	#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
✓	37.2%	#s(approx (/ (* x 100) (+ x y)) #s(approx (/ (* x (+ (* (/ -100 y) x) 100)) y) (/.f64 (.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64)))) (*.f64 y y))))
✓	45.7%	#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

Compiler

Compiled 153 to 108 computations (29.4% saved)

regimes14.0ms (0.2%)

Memory

-9.0MiB live, 29.3MiB 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 (*.f64 #s(literal 100 binary64) x) 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 x (+.f64 y x)) #s(literal 100 binary64))
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (.f64 #s(literal -100 binary64) x))
#s(approx (/ (* x 100) (+ x y)) #s(approx (/ (* x (+ (* (/ -100 y) x) 100)) y) (/.f64 (.f64 x (fma.f64 x #s(literal -100 binary64) (.f64 y #s(literal 100 binary64)))) (*.f64 y y))))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y))

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

Calls

3 calls:

6.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
4.0ms	y
4.0ms	x

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)

regimes13.0ms (0.2%)

Memory

-27.1MiB live, 19.5MiB 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 (*.f64 #s(literal 100 binary64) x) 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) x) y))
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))

Calls

3 calls:

8.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Results

Accuracy	Segments	Branch
79.9%	3	`x`
79.7%	3	`y`
99.1%	2	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

6.3MiB live, 6.3MiB 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 (*.f64 #s(literal 100 binary64) x) 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) x) y))
#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
98.7%	2	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

2 → 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))

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:

1.0ms

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

Results

Accuracy	Segments	Branch
98.7%	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

17.6MiB live, 17.6MiB 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	x
1.0ms	y
1.0ms	(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))

Results

Accuracy	Segments	Branch
45.7%	1	`y`
45.7%	1	`x`
45.7%	1	`(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006502775060257659	99.9999716515991

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch3.0ms (0%)

Memory

-35.8MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006502775060257659	99.9999716515991

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006502775060257659	99.9999716515991

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify26.0ms (0.4%)

Memory

10.7MiB live, 87.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	117
1	31	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #s(approx (/ ( x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/1152921504606846976 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 x (+.f64 y x)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x)))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #s(approx (/ ( x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #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 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #s(approx (/ ( x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (/ ( x 100) (+ x y)) (/.f64 (.f64 #s(literal 100 binary64) x) y)) #s(approx (/ ( x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 1152921504606847/1152921504606846976 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)))
(if (<=.f64 (/.f64 (.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 1152921504606847/1152921504606846976 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))

soundness1.3s (20.4%)

Memory

-4.7MiB live, 321.2MiB allocated

Rules

15 982×	`lower-fma.f64`
15 982×	`lower-fma.f32`
4 492×	`lower-/.f32`
4 490×	`lower-/.f64`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	30	80
1	117	80
2	702	80
3	7693	80
0	8156	80
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
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 125 to 76 computations (39.2% saved)

preprocess169.0ms (2.7%)

Memory: 8.8MiB live, 125.6MiB allocated
Compiler: Compiled 168 to 74 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze42.0ms (0.7%)

sample1.2s (19.7%)

explain59.0ms (1%)

preprocess46.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series5.0ms (0.1%)

simplify184.0ms (3%)

rewrite182.0ms (2.9%)

eval65.0ms (1%)

prune9.0ms (0.2%)

simplify8.0ms (0.1%)

localize55.0ms (0.9%)

series20.0ms (0.3%)

simplify152.0ms (2.4%)

rewrite179.0ms (2.9%)

eval135.0ms (2.2%)

prune27.0ms (0.4%)

simplify179.0ms (2.9%)

localize75.0ms (1.2%)

series69.0ms (1.1%)

simplify193.0ms (3.1%)

rewrite142.0ms (2.3%)

eval384.0ms (6.2%)

prune28.0ms (0.5%)

simplify199.0ms (3.2%)

localize75.0ms (1.2%)

series11.0ms (0.2%)

simplify230.0ms (3.7%)

rewrite640.0ms (10.3%)

eval58.0ms (0.9%)

prune15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness1.3s (20.4%)

preprocess169.0ms (2.7%)

end0.0ms (0%)

Profiling