Metrics for Data.Colour.SRGB:invTransferFunction from colour-2.3.3

analyze17.0ms (0.2%)

Memory

-15.7MiB live, 22.4MiB 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)

sample744.0ms (8.2%)

Memory

14.5MiB live, 1 043.5MiB allocated

Samples

494.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-add: 181.0ms (62.8% of total)

ival-div: 93.0ms (32.3% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess57.0ms (0.6%)

Memory

14.6MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Rules

402×	`times-frac`
356×	`associate-r`
272×	`div-sub`
238×	`unsub-neg`
238×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	42	35
2	86	35
3	204	35
4	577	35
5	1216	35
6	1586	35
7	1979	35
8	2103	35
9	2174	35
10	2186	35
0	6	7
0	9	7
1	13	7
0	13	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)))

explain61.0ms (0.7%)

Memory

8.7MiB live, 168.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
-	-	`(+.f64 y #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-add: 5.0ms (51.9% of total)

ival-div: 3.0ms (31.2% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	13	16
0	13	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 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize21.0ms (0.2%)

Memory

-30.5MiB live, 44.7MiB 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	100.0%	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (39.3% of total)

ival-add: 2.0ms (39.3% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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 (/ y (+ 1 y))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (+ (/ x (+ 1 y)) (/ y (+ 1 y)))>
#<alt (/ x (+ 1 y))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (* x (+ (/ 1 (+ 1 y)) (/ y (* x (+ 1 y)))))>
#<alt (/ x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 y)))) (/ 1 (+ 1 y)))))>
#<alt x>
#<alt (+ x (* y (- 1 x)))>
#<alt (+ x (* y (- (+ 1 (* y (- x 1))) x)))>
#<alt (+ x (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)))>
#<alt 1>
#<alt (- (+ 1 (/ x y)) (/ 1 y))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ (/ 1 y) (/ x (pow y 2))))>
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 x)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) y)))) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 x)) y)) (* -1 (+ 1 (* -1 x)))) y)))) y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 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
0.0ms	x	@	inf	(/ (+ x y) (+ y 1))
0.0ms	x	@	-inf	(/ (+ x y) (+ y 1))
0.0ms	x	@	0	(/ (+ x y) (+ y 1))
0.0ms	x	@	inf	(+ x y)
0.0ms	y	@	-inf	(/ (+ x y) (+ y 1))

rewrite430.0ms (4.7%)

Memory

-1.1MiB live, 595.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 790×	`lower-/.f32`
5 788×	`lower-/.f64`
5 040×	`lower-*.f64`
5 040×	`lower-*.f32`
2 694×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	43	13
2	307	13
3	3741	13
0	9904	13

Stop Event

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

Counts

3 → 471

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

simplify539.0ms (5.9%)

Memory

-5.1MiB live, 441.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 130×	`lower-fma.f64`
12 130×	`lower-fma.f32`
3 512×	`lower-+.f64`
3 512×	`lower-+.f32`
3 160×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 51

Calls

Call 1

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

eval238.0ms (2.6%)

Memory: 27.6MiB live, 101.8MiB allocated
Compiler: Compiled 12 671 to 1 480 computations (88.3% saved)

prune231.0ms (2.5%)

Memory

-10.5MiB live, 112.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	515	7	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	516	7	523

Accuracy

100.0%

Counts

523 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
	74.8%	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
▶	47.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	54.1%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 #s(literal -1 binary64) y)))
	49.3%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
▶	36.0%	#s(literal 1 binary64)

Compiler

Compiled 122 to 84 computations (31.1% saved)

simplify126.0ms (1.4%)

Memory

13.0MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 #s(literal -1 binary64) y))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 #s(literal -1 binary64) y)))

Rules

832×	`lower-fma.f32`
830×	`lower-fma.f64`
400×	`lower-*.f32`
398×	`lower-*.f64`
292×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	69
0	25	69
1	40	65
2	73	64
3	158	64
4	288	64
5	494	63
6	990	63
7	1375	63
8	1533	63
9	1551	63
10	1553	63
0	1553	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize216.0ms (2.4%)

Memory

-9.2MiB live, 70.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 #s(literal -1 binary64) y))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 #s(literal -1 binary64) y)))

Samples

113.0ms

256×

valid

Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 9.0ms (42.3% of total)

ival-div: 7.0ms (32.9% of total)

ival-mult: 3.0ms (14.1% of total)

ival-sub: 2.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-18.6MiB live, 19.8MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ x (+ y 1))
1.0ms	x	@	inf	(/ x (+ y 1))
1.0ms	y	@	0	(* (/ 1 (+ x y)) (- -1 y))
1.0ms	x	@	inf	(* (/ 1 (+ x y)) (- -1 y))
0.0ms	x	@	0	(* (/ 1 (+ x y)) (- -1 y))

rewrite441.0ms (4.9%)

Memory

24.6MiB live, 546.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 782×	`lower-fma.f32`
5 780×	`lower-fma.f64`
4 958×	`lower-*.f32`
4 956×	`lower-*.f64`
4 276×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	50
0	25	50
1	115	45
2	862	44
0	8688	44

Stop Event

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

Counts

9 → 816

Calls

Call 1

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

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

simplify484.0ms (5.3%)

Memory

2.8MiB live, 796.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 304×	`lower-fma.f64`
12 304×	`lower-fma.f32`
5 222×	`lower-+.f64`
5 222×	`lower-+.f32`
3 386×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	378	1721
1	1146	1626
2	3182	1511
0	8203	1440

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 167

Calls

Call 1

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

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

eval169.0ms (1.9%)

Memory: -12.2MiB live, 262.7MiB allocated
Compiler: Compiled 20 269 to 2 492 computations (87.7% saved)

prune214.0ms (2.4%)

Memory

28.8MiB live, 270.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 053	5	1 058
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	1 055	10	1 065

Accuracy

100.0%

Counts

1 065 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.4%	(fma.f64 y (neg.f64 x) x)
▶	52.2%	(fma.f64 y #s(literal 1 binary64) x)
▶	74.8%	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
✓	47.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	54.1%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	16.2%	(/.f64 x y)
	53.9%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)))
▶	13.2%	(-.f64 y (*.f64 y y))
	49.3%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	36.0%	#s(literal 1 binary64)

Compiler

Compiled 135 to 89 computations (34.1% saved)

simplify348.0ms (3.8%)

Memory

-28.7MiB live, 461.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y (neg.f64 x) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 y (*.f64 y y))
✓	cost-diff	192	(fma.f64 y #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	704	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Rules

9 556×	`lower-fma.f32`
9 550×	`lower-fma.f64`
3 126×	`lower-*.f32`
3 122×	`lower-*.f64`
2 536×	`lower--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	28	61
1	57	61
2	142	56
3	287	56
4	730	56
5	2641	56
6	7195	56
0	8329	56

Stop Event

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

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

25.9MiB live, 100.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(fma.f64 y (neg.f64 x) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	100.0%	(fma.f64 y #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64)))
✓	accuracy	75.4%	(/.f64 (*.f64 (+.f64 x y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

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

ival-add: 8.0ms (35.9% of total)

ival-mult: 8.0ms (35.9% of total)

ival-div: 4.0ms (18% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-10.7MiB live, 25.3MiB allocated

Counts

10 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
2.0ms	y	@	0	(/ x y)
1.0ms	x	@	inf	(+ (* y (neg x)) x)
1.0ms	x	@	inf	(/ (* (+ x y) (+ y -1)) (+ (* y y) -1))
1.0ms	x	@	0	(+ (* y (neg x)) x)

rewrite387.0ms (4.3%)

Memory

14.1MiB live, 686.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 298×	`lower-fma.f32`
9 292×	`lower-fma.f64`
4 392×	`lower-/.f32`
4 388×	`lower-/.f64`
4 346×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	28	46
1	134	43
2	1108	41
0	8546	41

Stop Event

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

Counts

10 → 876

Calls

Call 1

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

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

simplify381.0ms (4.2%)

Memory

-10.4MiB live, 515.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 188×	`lower-fma.f64`
12 188×	`lower-fma.f32`
3 152×	`lower-*.f64`
3 152×	`lower-*.f32`
2 872×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1049
1	405	917
2	1198	901
3	4657	845
0	8396	840

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 175

Calls

Call 1

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

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

eval129.0ms (1.4%)

Memory: -8.2MiB live, 272.9MiB allocated
Compiler: Compiled 24 564 to 2 370 computations (90.4% saved)

prune221.0ms (2.4%)

Memory

3.0MiB live, 240.9MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 048	3	1 051
Fresh	0	2	2
Picked	2	3	5
Done	0	3	3
Total	1 050	11	1 061

Accuracy

100.0%

Counts

1 061 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.4%	(fma.f64 y (neg.f64 x) x)
▶	29.8%	(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
✓	47.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	54.1%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	16.2%	(/.f64 x y)
▶	53.9%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)))
✓	13.2%	(-.f64 y (*.f64 y y))
▶	52.2%	(+.f64 y x)
▶	49.3%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
▶	2.6%	(*.f64 y (neg.f64 y))
✓	36.0%	#s(literal 1 binary64)

Compiler

Compiled 122 to 82 computations (32.8% saved)

simplify1.3s (14.5%)

Memory

-17.1MiB live, 627.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(-.f64 (*.f64 y y) y)
✓	cost-diff	704	(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 y (neg.f64 y))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)))

Rules

23 308×	`lower-fma.f32`
23 306×	`lower-fma.f64`
3 504×	`lower-+.f32`
3 498×	`lower-+.f64`
2 624×	`lower-*.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	81
0	32	81
1	55	77
2	102	76
3	235	71
4	472	70
5	1556	70
6	7936	70
0	8409	70

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.9%)

Memory

-1.8MiB live, 77.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 (*.f64 y y) y)
✓	accuracy	80.3%	(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) y)
✓	accuracy	100.0%	(*.f64 y (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
✓	accuracy	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)))

Samples

119.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 90.0ms (84.8% of total)

ival-div: 7.0ms (6.6% of total)

ival-add: 5.0ms (4.7% of total)

ival-sub: 2.0ms (1.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

14 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

rewrite388.0ms (4.3%)

Memory

26.2MiB live, 499.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 520×	`lower-/.f32`
4 512×	`lower-/.f64`
4 330×	`lower-fma.f32`
4 328×	`lower-fma.f64`
3 568×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
0	32	68
1	144	63
2	1109	62
0	8749	62

Stop Event

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

Counts

14 → 662

Calls

Call 1

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

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

simplify338.0ms (3.7%)

Memory

0.2MiB live, 757.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 078×	`lower-fma.f64`
14 078×	`lower-fma.f32`
3 382×	`lower-*.f64`
3 382×	`lower-*.f32`
1 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1054
1	353	1043
2	857	997
3	2853	985
4	7155	985
0	8045	972

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 218

Calls

Call 1

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

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

eval205.0ms (2.3%)

Memory: 25.6MiB live, 217.8MiB allocated
Compiler: Compiled 15 004 to 1 936 computations (87.1% saved)

prune116.0ms (1.3%)

Memory

-34.0MiB live, 287.6MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	878	2	880
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	880	11	891

Accuracy

100.0%

Counts

891 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	40.4%	(fma.f64 y (neg.f64 x) x)
✓	29.8%	(/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))
✓	47.4%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	54.1%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	16.2%	(/.f64 x y)
	16.2%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
✓	13.2%	(-.f64 y (*.f64 y y))
✓	52.2%	(+.f64 y x)
	49.2%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	2.6%	(*.f64 y (neg.f64 y))
✓	36.0%	#s(literal 1 binary64)

Compiler

Compiled 188 to 90 computations (52.1% saved)

regimes19.0ms (0.2%)

Memory

13.5MiB live, 52.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
6.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

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)

regimes17.0ms (0.2%)

Memory

-0.3MiB live, 34.1MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
4.0ms	x
4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
77.9%	3	`x`
98.7%	3	`y`
99.3%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-15.2MiB live, 23.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)

Calls

2 calls:

4.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y

Results

Accuracy	Segments	Branch
84.7%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
84.9%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

16.0MiB live, 16.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

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
36.0%	1	`x`
36.0%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
36.0%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch22.0ms (0.2%)

Memory

-28.8MiB live, 54.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.2265809961619807	0.8771831546015469
14.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

9.0ms

240×

valid

Compiler

Compiled 297 to 221 computations (25.6% saved)

Precisions

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

ival-div: 2.0ms (46.4% of total)

ival-add: 2.0ms (46.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Memory

17.3MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.2265809961619807	0.8771831546015469
12.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

9.0ms

240×

valid

Compiler

Compiled 267 to 191 computations (28.5% saved)

Precisions

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

ival-div: 2.0ms (46.1% of total)

ival-add: 2.0ms (46.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Memory

-8.8MiB live, 71.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.8771831546015469	32084765.791370597
12.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

12.0ms

304×

valid

Compiler

Compiled 259 to 201 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (55.1% of total)

ival-div: 2.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

-6.1MiB live, 70.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.8771831546015469	32084765.791370597
12.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

12.0ms

304×

valid

Compiler

Compiled 202 to 163 computations (19.3% saved)

Precisions

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

ival-add: 4.0ms (63% of total)

ival-div: 2.0ms (31.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	41	89
2	44	89
3	46	89
4	47	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 100 binary64)) (+.f64 y x) #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 100 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 100 binary64)) (+.f64 x y) #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness785.0ms (8.6%)

Memory

-31.3MiB live, 607.6MiB allocated

Rules

14 078×	`lower-fma.f64`
14 078×	`lower-fma.f32`
12 304×	`lower-fma.f64`
12 304×	`lower-fma.f32`
12 130×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	47
0	28	46
1	134	43
2	1108	41
0	8546	41
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300
0	378	1721
1	1146	1626
2	3182	1511
0	8203	1440
0	127	1054
1	353	1043
2	857	997
3	2853	985
4	7155	985
0	8045	972

Stop Event

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

Compiler

Compiled 168 to 85 computations (49.4% saved)

preprocess58.0ms (0.6%)

Memory: -13.6MiB live, 122.6MiB allocated
Compiler: Compiled 200 to 72 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.2%)

sample744.0ms (8.2%)

preprocess57.0ms (0.6%)

explain61.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize21.0ms (0.2%)

series3.0ms (0%)

rewrite430.0ms (4.7%)

simplify539.0ms (5.9%)

eval238.0ms (2.6%)

prune231.0ms (2.5%)

simplify126.0ms (1.4%)

localize216.0ms (2.4%)

series14.0ms (0.2%)

rewrite441.0ms (4.9%)

simplify484.0ms (5.3%)

eval169.0ms (1.9%)

prune214.0ms (2.4%)

simplify348.0ms (3.8%)

localize50.0ms (0.6%)

series13.0ms (0.1%)

rewrite387.0ms (4.3%)

simplify381.0ms (4.2%)

eval129.0ms (1.4%)

prune221.0ms (2.4%)

simplify1.3s (14.5%)

localize174.0ms (1.9%)

series8.0ms (0.1%)

rewrite388.0ms (4.3%)

simplify338.0ms (3.7%)

eval205.0ms (2.3%)

prune116.0ms (1.3%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch22.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify8.0ms (0.1%)

soundness785.0ms (8.6%)

preprocess58.0ms (0.6%)

end0.0ms (0%)

Profiling