Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

analyze11.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample724.0ms (12.6%)

Memory

-5.2MiB live, 1 154.5MiB allocated

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-mult: 77.0ms (40.1% of total)

ival-div: 61.0ms (31.7% of total)

ival-add: 40.0ms (20.8% of total)

ival-true: 6.0ms (3.1% of total)

exact: 4.0ms (2.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess54.0ms (0.9%)

Memory

-14.2MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Rules

486×	`times-frac`
304×	`unsub-neg`
238×	`distribute-lft-in`
228×	`distribute-lft-neg-in`
228×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	50	37
2	145	35
3	443	35
4	1190	35
5	1667	35
6	1882	35
7	1938	35
8	1966	35
9	1970	35
0	6	7
0	9	7
1	15	7
2	18	7
3	19	7
0	19	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

explain60.0ms (1%)

Memory

17.2MiB live, 130.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	29	0
↳	`(*.f64 x y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	29	0
-	0	227

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	0
-	0	0	227

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-mult: 5.0ms (37% of total)

ival-add: 4.0ms (29.6% of total)

ival-div: 3.0ms (22.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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	15	16
2	18	16
3	19	16
0	19	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

-7.0MiB live, 36.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	89.3%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 5.0ms (58.6% of total)

ival-div: 2.0ms (23.4% of total)

ival-add: 1.0ms (11.7% 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

11.8MiB live, 11.8MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (* x y) (+ y 1))
1.0ms	y	@	inf	(+ y 1)
1.0ms	x	@	inf	(/ (* x y) (+ y 1))
1.0ms	y	@	inf	(/ (* x y) (+ y 1))
0.0ms	y	@	-inf	(* x y)

simplify342.0ms (5.9%)

Memory

-4.8MiB live, 396.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
2 536×	`lower-*.f64`
2 536×	`lower-*.f32`
1 658×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

Calls

Call 1

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

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

rewrite474.0ms (8.2%)

Memory

1.9MiB live, 352.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 518×	`lower-/.f32`
5 516×	`lower-/.f64`
3 256×	`lower-*.f32`
3 254×	`lower-*.f64`
2 620×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	13

Stop Event

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

Counts

3 → 336

Calls

Call 1

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

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

eval82.0ms (1.4%)

Memory: -3.6MiB live, 74.9MiB allocated
Compiler: Compiled 8 392 to 1 037 computations (87.6% saved)

prune117.0ms (2%)

Memory

-24.3MiB live, 103.2MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	386	6	392
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	386	7	393

Accuracy

100.0%

Counts

393 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	99.8%	(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
	72.3%	(.f64 (/.f64 (.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
▶	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
▶	53.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 121 to 70 computations (42.1% saved)

simplify99.0ms (1.7%)

Memory

15.7MiB live, 92.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

872×	`lower-fma.f32`
870×	`lower-fma.f64`
594×	`times-frac`
592×	`lower-*.f32`
586×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	31	106
1	54	106
2	81	106
3	149	106
4	221	106
5	383	106
6	698	106
7	1071	106
8	1590	106
9	2202	106
10	2263	106
11	2295	106
12	2354	106
13	2424	106
14	2424	106
0	2424	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.9%)

Memory

-2.1MiB live, 76.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal 1 binary64)) y)
✓	accuracy	99.8%	(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 x (/.f64 x y))
✓	accuracy	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	accuracy	100.0%	(fma.f64 y (neg.f64 y) y)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	96.7%	(*.f64 x (fma.f64 y (neg.f64 y) y))
✓	accuracy	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	53.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions

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

ival-div: 8.0ms (41.9% of total)

ival-mult: 6.0ms (31.4% of total)

ival-add: 3.0ms (15.7% of total)

ival-sub: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

14 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

simplify351.0ms (6.1%)

Memory

9.0MiB live, 560.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 436×	`lower-fma.f64`
13 436×	`lower-fma.f32`
2 994×	`lower-*.f64`
2 994×	`lower-*.f32`
1 918×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1709
1	251	1611
2	519	1563
3	1860	1527
4	6200	1527
0	8053	1515

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 260

Calls

Call 1

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

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

rewrite646.0ms (11.2%)

Memory

-173.5MiB live, 619.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 844×	`lower-fma.f32`
5 842×	`lower-fma.f64`
4 570×	`lower-*.f32`
4 564×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	31	91
1	111	91
2	727	91
0	8765	91

Stop Event

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

Counts

14 → 862

Calls

Call 1

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

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

eval207.0ms (3.6%)

Memory: 41.1MiB live, 343.7MiB allocated
Compiler: Compiled 19 931 to 2 112 computations (89.4% saved)

prune129.0ms (2.2%)

Memory

-21.3MiB live, 309.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 202	4	1 206
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	1 205	8	1 213

Accuracy

100.0%

Counts

1 213 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	99.8%	(/.f64 x #s(approx (/ (+ y 1) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
▶	48.2%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))
▶	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	53.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 68 to 40 computations (41.2% saved)

simplify79.0ms (1.4%)

Memory

11.4MiB live, 93.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

816×	`lower-fma.f32`
814×	`lower-fma.f64`
600×	`lower-*.f32`
592×	`lower-*.f64`
268×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	33	117
1	59	117
2	98	117
3	161	117
4	273	117
5	412	117
6	608	117
7	864	117
8	1302	117
9	1550	117
10	1816	117
11	1878	117
12	1898	117
13	1903	117
0	1903	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize78.0ms (1.4%)

Memory

-10.4MiB live, 147.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	#s(approx (/ (+ y 1) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 x #s(approx (/ (+ y 1) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	accuracy	100.0%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	accuracy	47.9%	#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(*.f64 y (fma.f64 y (neg.f64 x) x))
✓	accuracy	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
✓	accuracy	96.7%	(.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))
✓	accuracy	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y)))

Samples

54.0ms

256×

valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 27.0ms (66.5% of total)

ival-div: 8.0ms (19.7% of total)

ival-add: 3.0ms (7.4% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.6%)

Memory

-18.9MiB live, 20.2MiB allocated

Counts

14 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (* (- 1 y) y))
1.0ms	x	@	0	(* y (+ (* y (neg x)) x))
0.0ms	x	@	-inf	(* y (+ (* y (neg x)) x))
0.0ms	x	@	inf	(* x (* (- 1 y) y))
0.0ms	y	@	-inf	(* x (* (- 1 y) y))

simplify311.0ms (5.4%)

Memory

11.0MiB live, 566.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 796×	`lower-fma.f64`
11 796×	`lower-fma.f32`
2 850×	`lower-*.f64`
2 850×	`lower-*.f32`
1 508×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1631
1	282	1532
2	615	1492
3	1780	1462
4	5176	1462
0	8194	1452

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 241

Calls

Call 1

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

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

rewrite499.0ms (8.7%)

Memory

-1.8MiB live, 553.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 586×	`lower-fma.f32`
5 584×	`lower-fma.f64`
5 052×	`lower-*.f32`
5 044×	`lower-*.f64`
4 566×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	107
0	33	107
1	127	107
2	815	107
0	8620	107

Stop Event

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

Counts

14 → 817

Calls

Call 1

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

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

eval129.0ms (2.2%)

Memory: 37.9MiB live, 304.6MiB allocated
Compiler: Compiled 21 415 to 2 000 computations (90.7% saved)

prune102.0ms (1.8%)

Memory

-39.3MiB live, 263.3MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1 058	0	1 058
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	1 058	8	1 066

Accuracy

100.0%

Counts

1 066 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	99.8%	(/.f64 x #s(approx (/ (+ y 1) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
✓	100.0%	(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
✓	48.2%	(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
✓	47.6%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 y (neg.f64 x) x)))
✓	52.2%	#s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y)))
✓	53.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Compiler

Compiled 149 to 70 computations (53% saved)

regimes12.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

-25.7MiB live, 14.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
61.4%	5	`x`
98.3%	3	`y`
82.2%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
53.2%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch23.0ms (0.4%)

Memory

0.6MiB live, 39.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0010361580772288773	1.3893573079537995
12.0ms	-76338.21109295881	-0.0031662002973856856

Samples

12.0ms

272×

valid

Compiler

Compiled 352 to 215 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.7% of total)

ival-add: 2.0ms (32.7% of total)

ival-mult: 2.0ms (32.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0010361580772288773	1.3893573079537995
1.0ms	-76338.21109295881	-0.0031662002973856856

Samples

2.0ms

64×

valid

Compiler

Compiled 318 to 215 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

-34.2MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.0010361580772288773	1.3893573079537995
1.0ms	-76338.21109295881	-0.0031662002973856856

Compiler

Compiled 250 to 164 computations (34.4% saved)

simplify8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	145
1	45	145
2	54	145
3	60	145
4	64	145
5	65	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 x y)) (.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ ( x y) (+ y 1)) (.f64 y x)) (.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness900.0ms (15.6%)

Memory

23.5MiB live, 498.6MiB allocated

Rules

13 436×	`lower-fma.f64`
13 436×	`lower-fma.f32`
9 976×	`lower-fma.f64`
9 976×	`lower-fma.f32`
5 844×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	31	91
1	111	91
2	727	91
0	8765	91
0	84	1709
1	251	1611
2	519	1563
3	1860	1527
4	6200	1527
0	8053	1515
0	46	299
1	135	290
2	274	282
3	1008	276
4	4085	276
5	5964	276
6	7080	276
7	7763	276
0	8010	274
0	6	13
0	9	13
1	35	13
2	203	13
3	1891	13
0	8396	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
1×	node limit
1×	iter limit

Compiler

Compiled 198 to 86 computations (56.6% saved)

preprocess100.0ms (1.7%)

Memory: 0.2MiB live, 79.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 302 to 118 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

sample724.0ms (12.6%)

preprocess54.0ms (0.9%)

explain60.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize25.0ms (0.4%)

series5.0ms (0.1%)

simplify342.0ms (5.9%)

rewrite474.0ms (8.2%)

eval82.0ms (1.4%)

prune117.0ms (2%)

simplify99.0ms (1.7%)

localize111.0ms (1.9%)

series10.0ms (0.2%)

simplify351.0ms (6.1%)

rewrite646.0ms (11.2%)

eval207.0ms (3.6%)

prune129.0ms (2.2%)

simplify79.0ms (1.4%)

localize78.0ms (1.4%)

series36.0ms (0.6%)

simplify311.0ms (5.4%)

rewrite499.0ms (8.7%)

eval129.0ms (2.2%)

prune102.0ms (1.8%)

regimes12.0ms (0.2%)

regimes9.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

simplify8.0ms (0.1%)

soundness900.0ms (15.6%)

preprocess100.0ms (1.7%)

end0.0ms (0%)

Profiling