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

analyze18.0ms (0.2%)

Memory

-42.6MiB live, 21.4MiB 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)

sample710.0ms (8.2%)

Memory

37.0MiB live, 1 056.2MiB allocated

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-div: 139.0ms (57.3% of total)

ival-add: 91.0ms (37.5% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess62.0ms (0.7%)

Memory

-9.7MiB live, 27.3MiB allocated

Algorithm

2×	egg-herbie

Rules

452×	`times-frac`
348×	`associate-r`
298×	`div-sub`
238×	`unsub-neg`
238×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	44	42
2	88	42
3	206	42
4	578	42
5	1217	42
6	1643	42
7	2026	42
8	2162	42
9	2229	42
10	2233	42
0	6	7
1	10	7
0	10	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))

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

Call 2

Inputs
(/ (+ x y) (+ y 1))
(/ (+ (neg x) y) (+ y 1))
(/ (+ x (neg y)) (+ (neg y) 1))
(neg (/ (+ (neg x) y) (+ y 1)))
(neg (/ (+ x (neg y)) (+ (neg y) 1)))
(/ (+ y x) (+ x 1))

Outputs
(/ (+ x y) (+ y 1))
(/ (+ (neg x) y) (+ y 1))
(/ (- y x) (+ y 1))
(/ (+ x (neg y)) (+ (neg y) 1))
(/ (- y x) (+ y -1))
(neg (/ (+ (neg x) y) (+ y 1)))
(/ (- y x) (- -1 y))
(neg (/ (+ x (neg y)) (+ (neg y) 1)))
(/ (- y x) (- 1 y))
(/ (+ y x) (+ x 1))
(/ (+ x y) (+ x 1))

explain86.0ms (1%)

Memory

4.0MiB live, 89.3MiB 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

34.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

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

ival-div: 16.0ms (74.1% of total)

ival-add: 5.0ms (23.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0%)

Memory

7.4MiB live, 7.4MiB 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×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	10	16
0	10	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))
(+ x y)
x
y
(+ y 1)
1

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

localize33.0ms (0.4%)

Memory

-3.2MiB live, 35.7MiB 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

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-add: 3.0ms (64.8% of total)

ival-div: 2.0ms (43.2% 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

5.9MiB live, 5.9MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/ (+ x y) (+ y 1))>
#<alt (+ x y)>
#<alt (+ y 1)>

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
1.0ms	x	@	inf	(/ (+ x y) (+ y 1))
0.0ms	x	@	-inf	(/ (+ x y) (+ y 1))
0.0ms	x	@	0	(/ (+ x y) (+ y 1))
0.0ms	y	@	-inf	(/ (+ x y) (+ y 1))
0.0ms	x	@	inf	(+ x y)

rewrite1.2s (13.8%)

Memory

-2.4MiB live, 513.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 790×	`/-lowering-/.f32`
5 790×	`/-lowering-/.f64`
5 040×	`-lowering-.f32`
5 040×	`-lowering-.f64`
2 694×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	304	13
3	3739	13
0	9900	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 471

Calls

Call 1

Inputs
(/ (+ x y) (+ y 1))
(+ x y)
(+ y 1)

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

simplify318.0ms (3.7%)

Memory

-17.7MiB live, 660.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

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 → 60

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))

eval218.0ms (2.5%)

Memory: 40.8MiB live, 153.8MiB allocated
Compiler: Compiled 12 712 to 1 478 computations (88.4% saved)

prune78.0ms (0.9%)

Memory

-11.1MiB live, 163.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	522	9	531
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	523	9	532

Accuracy

100.0%

Counts

532 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
▶	44.9%	(fma.f64 y (-.f64 #s(literal 1 binary64) x) x)
	56.0%	(/.f64 (+.f64 x y) y)
▶	47.8%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
	53.8%	(/.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)))
▶	56.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
	37.5%	x
▶	39.7%	#s(literal 1 binary64)

Compiler

Compiled 148 to 100 computations (32.4% saved)

simplify119.0ms (1.4%)

Memory

1.3MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

1 168×	`accelerator-lowering-fma.f32`
1 168×	`accelerator-lowering-fma.f64`
528×	`-lowering-.f32`
528×	`-lowering-.f64`
372×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	34	74
2	67	73
3	152	73
4	284	73
5	494	72
6	1020	72
7	1492	72
8	1821	72
9	1937	72
10	2011	72
11	2023	72
0	2023	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (* (/ 1 (+ x y)) (- -1 y)))
-1
(* (/ 1 (+ x y)) (- -1 y))
(/ 1 (+ x y))
1
(+ x y)
x
y
(- -1 y)
1
(+ (* y (- 1 x)) x)
y
(- 1 x)
1
x
(/ y (+ y 1))
y
(+ y 1)
1
(+ 1 (/ (+ x -1) y))
1
(/ (+ x -1) y)
(+ x -1)
x
-1
y

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

localize88.0ms (1%)

Memory

-34.8MiB live, 126.8MiB allocated

Localize:

Found 11 expressions of interest:

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

39.0ms

256×

valid

Compiler

Compiled 79 to 19 computations (75.9% saved)

Precisions

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

ival-add: 11.0ms (44.7% of total)

ival-div: 7.0ms (28.4% of total)

ival-sub: 4.0ms (16.2% of total)

ival-mult: 3.0ms (12.2% 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

29.5MiB live, 29.5MiB allocated

Counts

11 → 216

Calls

Call 1

Inputs
#<alt (/ -1 (* (/ 1 (+ x y)) (- -1 y)))>
#<alt (* (/ 1 (+ x y)) (- -1 y))>
#<alt (/ 1 (+ x y))>
#<alt (+ x y)>
#<alt (+ (* y (- 1 x)) x)>
#<alt (- 1 x)>
#<alt (/ y (+ y 1))>
#<alt (+ y 1)>
#<alt (+ 1 (/ (+ x -1) y))>
#<alt (/ (+ x -1) y)>
#<alt (+ x -1)>

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

Calls

54 calls:

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

rewrite384.0ms (4.5%)

Memory

-23.6MiB live, 460.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 186×	`/-lowering-/.f32`
4 186×	`/-lowering-/.f64`
4 150×	`accelerator-lowering-fma.f32`
4 150×	`accelerator-lowering-fma.f64`
3 510×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	61
1	129	56
2	1138	55
0	8843	54

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 594

Calls

Call 1

Inputs
(/ -1 (* (/ 1 (+ x y)) (- -1 y)))
(* (/ 1 (+ x y)) (- -1 y))
(/ 1 (+ x y))
(+ x y)
(+ (* y (- 1 x)) x)
(- 1 x)
(/ y (+ y 1))
(+ y 1)
(+ 1 (/ (+ x -1) y))
(/ (+ x -1) y)
(+ x -1)

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

simplify575.0ms (6.7%)

Memory

10.9MiB live, 677.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 242×	`accelerator-lowering-fma.f32`
12 242×	`accelerator-lowering-fma.f64`
5 372×	`+-lowering-+.f64`
5 372×	`+-lowering-+.f32`
3 298×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	1829
1	1090	1751
2	3093	1633
0	8244	1566

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

eval133.0ms (1.5%)

Memory: 4.5MiB live, 199.8MiB allocated
Compiler: Compiled 13 163 to 1 958 computations (85.1% saved)

prune299.0ms (3.5%)

Memory

-176.7MiB live, 203.9MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	804	6	810
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	807	12	819

Accuracy

100.0%

Counts

819 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.9%	(fma.f64 y (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
▶	37.0%	(fma.f64 y (neg.f64 x) x)
▶	45.3%	(fma.f64 y #s(literal 1 binary64) x)
✓	47.8%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
▶	53.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
	18.9%	(/.f64 x y)
	10.3%	(-.f64 y (*.f64 y y))
✓	56.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
▶	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	11.0%	y
▶	37.5%	x
✓	39.7%	#s(literal 1 binary64)

Compiler

Compiled 143 to 93 computations (35% saved)

simplify39.0ms (0.5%)

Memory

19.3MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
256×	`-lowering-.f32`
256×	`-lowering-.f64`
136×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	665	38
9	814	38
10	845	38
11	851	38
12	857	38
13	859	38
0	859	38

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ 1 (/ x y))
1
(/ x y)
x
y
x
(+ (* y 1) x)
y
1
x
(+ (* y (neg x)) x)
y
(neg x)
x
(/ x (+ y 1))
x
(+ y 1)
y
1

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

localize46.0ms (0.5%)

Memory

-1.6MiB live, 77.3MiB allocated

Localize:

Found 7 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 41 to 14 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 12.0ms (58.6% of total)

ival-add: 4.0ms (19.5% of total)

ival-mult: 3.0ms (14.7% of total)

ival-neg: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (+ (* y 1) x)>
#<alt (+ (* y (neg x)) x)>
#<alt (neg x)>
#<alt (/ x (+ y 1))>
#<alt (+ y 1)>

Outputs
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (* x (+ (/ 1 x) (/ 1 y)))>
#<alt (/ x y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt (/ (+ x y) y)>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt 1>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (+ 1 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt x>
#<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 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 (+ 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)))>

Calls

36 calls:

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

rewrite362.0ms (4.2%)

Memory

7.0MiB live, 560.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 518×	`accelerator-lowering-fma.f32`
6 518×	`accelerator-lowering-fma.f64`
4 168×	`-lowering-.f32`
4 168×	`-lowering-.f64`
3 600×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	86	26
2	629	26
0	8891	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 398

Calls

Call 1

Inputs
(+ 1 (/ x y))
(/ x y)
(+ (* y 1) x)
(+ (* y (neg x)) x)
(neg x)
(/ x (+ y 1))
(+ y 1)

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

simplify368.0ms (4.3%)

Memory

16.3MiB live, 483.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 830×	`accelerator-lowering-fma.f32`
8 830×	`accelerator-lowering-fma.f64`
2 544×	`-lowering-.f32`
2 544×	`-lowering-.f64`
1 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	604
1	241	570
2	508	562
3	1731	560
4	6004	560
0	8147	558

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ 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)))
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 (+ 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)))

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

eval86.0ms (1%)

Memory: -3.1MiB live, 162.0MiB allocated
Compiler: Compiled 8 593 to 1 049 computations (87.8% saved)

prune67.0ms (0.8%)

Memory

6.3MiB live, 190.7MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	540	2	542
Fresh	1	3	4
Picked	1	4	5
Done	0	3	3
Total	542	12	554

Accuracy

100.0%

Counts

554 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(fma.f64 y (neg.f64 x) x)
✓	47.8%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	53.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
▶	18.9%	(/.f64 x y)
▶	10.3%	(-.f64 y (*.f64 y y))
▶	45.3%	(+.f64 y x)
✓	56.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
▶	49.7%	(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
▶	11.0%	y
✓	37.5%	x
✓	39.7%	#s(literal 1 binary64)

Compiler

Compiled 107 to 69 computations (35.5% saved)

simplify420.0ms (4.9%)

Memory

-34.5MiB live, 461.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

12 050×	`accelerator-lowering-fma.f32`
12 050×	`accelerator-lowering-fma.f64`
2 256×	`--lowering--.f32`
2 256×	`--lowering--.f64`
2 084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	32	49
2	72	45
3	173	43
4	318	43
5	1392	43
6	6174	43
0	8099	41

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ x (+ (* y y) -1)) (+ y -1))
(/ x (+ (* y y) -1))
x
(+ (* y y) -1)
y
-1
(+ y -1)
y
(+ y x)
y
x
(- y (* y y))
y
(* y y)
(/ x y)
x
y

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

localize59.0ms (0.7%)

Memory

0.6MiB live, 42.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(fma.f64 y y #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	92.1%	(/.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	86.8%	(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

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

ival-mult: 4.0ms (33.8% of total)

ival-div: 3.0ms (25.3% of total)

ival-add: 3.0ms (25.3% of total)

ival-sub: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

8 → 144

Calls

Call 1

Inputs
#<alt (* (/ x (+ (* y y) -1)) (+ y -1))>
#<alt (/ x (+ (* y y) -1))>
#<alt (+ (* y y) -1)>
#<alt (+ y -1)>
#<alt (+ y x)>
#<alt (- y (* y y))>
#<alt (* y y)>
#<alt (/ x y)>

Outputs
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt (/ (* x (- y 1)) (- (pow y 2) 1))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (+ (* -1 x) (* x y))))>
#<alt (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ x y))) y)>
#<alt (/ (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))) y)>
#<alt (/ (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) 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 (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (/ x (- (pow y 2) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))>
#<alt (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (/ x (pow y 2))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (/ x (pow y 2))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (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))))>
#<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 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

36 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* (/ x (+ (* y y) -1)) (+ y -1))
1.0ms	x	@	inf	(* (/ x (+ (* y y) -1)) (+ y -1))
0.0ms	x	@	-inf	(/ x (+ (* y y) -1))
0.0ms	x	@	0	(/ x (+ (* y y) -1))
0.0ms	x	@	inf	(/ x (+ (* y y) -1))

rewrite426.0ms (4.9%)

Memory

-8.5MiB live, 738.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 106×	`accelerator-lowering-fma.f32`
7 106×	`accelerator-lowering-fma.f64`
4 754×	`-lowering-.f32`
4 754×	`-lowering-.f64`
4 670×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	86	40
2	733	34
0	8843	32

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 887

Calls

Call 1

Inputs
(* (/ x (+ (* y y) -1)) (+ y -1))
(/ x (+ (* y y) -1))
(+ (* y y) -1)
(+ y -1)
(+ y x)
(- y (* y y))
(* y y)
(/ x y)

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

simplify386.0ms (4.5%)

Memory

22.7MiB live, 673.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 648×	`accelerator-lowering-fma.f32`
14 648×	`accelerator-lowering-fma.f64`
3 048×	`-lowering-.f32`
3 048×	`-lowering-.f64`
2 692×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	819
1	279	790
2	699	775
3	2534	716
4	7539	716
0	8109	691

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval122.0ms (1.4%)

Memory: 16.4MiB live, 282.0MiB allocated
Compiler: Compiled 22 726 to 2 380 computations (89.5% saved)

prune178.0ms (2.1%)

Memory

-22.6MiB live, 302.7MiB allocated

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	1 028	3	1 031
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	1 029	14	1 043

Accuracy

100.0%

Counts

1 043 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.0%	(fma.f64 y (neg.f64 x) x)
✓	47.8%	(/.f64 y (+.f64 y #s(literal 1 binary64)))
✓	53.8%	(/.f64 x (+.f64 y #s(literal 1 binary64)))
✓	18.9%	(/.f64 x y)
✓	10.3%	(-.f64 y (*.f64 y y))
✓	45.3%	(+.f64 y x)
✓	56.1%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
✓	56.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	10.3%	(*.f64 (-.f64 #s(literal 1 binary64) y) y)
	36.7%	(.f64 (neg.f64 (fma.f64 x (.f64 y y) x)) (+.f64 y #s(literal -1 binary64)))
	2.3%	(*.f64 y (neg.f64 y))
✓	11.0%	y
✓	37.5%	x
✓	39.7%	#s(literal 1 binary64)

Compiler

Compiled 210 to 102 computations (51.4% saved)

regimes22.0ms (0.3%)

Memory

6.2MiB live, 44.9MiB allocated

Counts

21 → 1

Calls

Call 1

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

8.0ms	y
7.0ms	x
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)

regimes56.0ms (0.6%)

Memory

-19.5MiB live, 22.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

45.0ms	x
5.0ms	y
5.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
80.0%	5	`x`
98.5%	3	`y`
99.3%	4	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

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:

5.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

11 → 4

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
85.2%	5	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
84.1%	4	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-22.2MiB live, 17.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.4%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
81.5%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) 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
81.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
y

Outputs
x
#s(literal 1 binary64)
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.8%	3	`x`
73.2%	3	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`
73.2%	3	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory

-29.0MiB live, 9.1MiB 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:

18.0ms	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
39.7%	1	`x`
39.7%	1	`y`
39.7%	1	`(/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch22.0ms (0.3%)

Memory

32.8MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.009935578678802948	11.556917786142183
11.0ms	-8603697423.477442	-4.688000963367937e-6

Samples

11.0ms

288×

valid

Compiler

Compiled 354 to 263 computations (25.7% saved)

Precisions

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

ival-add: 3.0ms (59% of total)

ival-div: 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)

bsearch59.0ms (0.7%)

Memory

-9.7MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.009935578678802948	11.556917786142183
48.0ms	-8603697423.477442	-4.688000963367937e-6

Samples

10.0ms

288×

valid

Compiler

Compiled 318 to 227 computations (28.6% saved)

Precisions

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

ival-add: 3.0ms (61.5% of total)

ival-div: 2.0ms (41% of total)

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

exact: 0.0ms (0% of total)

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

bsearch117.0ms (1.4%)

Memory

-0.4MiB live, 41.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.009935578678802948	11.556917786142183
96.0ms	-8603697423.477442	-4.688000963367937e-6
10.0ms	-2.7036701390861725e+47	-1.6118543563776288e+40

Samples

101.0ms

432×

valid

Compiler

Compiled 356 to 263 computations (26.1% saved)

Precisions

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

ival-add: 4.0ms (53.5% of total)

ival-div: 3.0ms (40.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch102.0ms (1.2%)

Memory

-21.1MiB live, 55.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.009935578678802948	11.556917786142183
87.0ms	-8603697423.477442	-4.688000963367937e-6

Samples

87.0ms

288×

valid

Compiler

Compiled 246 to 191 computations (22.4% saved)

Precisions

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

ival-add: 3.0ms (59.3% of total)

ival-div: 2.0ms (39.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch114.0ms (1.3%)

Memory

11.6MiB live, 50.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
101.0ms	389665.49366739276	244464231.8641244
11.0ms	-8603697423.477442	-4.688000963367937e-6

Samples

11.0ms

288×

valid

Compiler

Compiled 192 to 155 computations (19.3% saved)

Precisions

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

ival-add: 3.0ms (60% of total)

ival-div: 2.0ms (40% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	35106.65732476736	44186180579.46766
0.0ms	0.005217492437179732	0.009837834104033315

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`if-if-or-not_binary32`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	125
1	62	125
2	65	125
3	67	125
4	68	125

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 1 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 3602879701896397/4503599627370496 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -2399999999999999860137702570306145305493504 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -1 binary64)) (/.f64 x y) (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 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 390000 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3458764513820541/576460752303423488 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 50000 binary64)) #s(literal 1 binary64) x))
#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 1 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 3602879701896397/4503599627370496 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -2399999999999999860137702570306145305493504 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -1 binary64)) (/.f64 x y) (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 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 390000 binary64)) (+.f64 y x) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 390000 binary64)) (+.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 3458764513820541/576460752303423488 binary64)) x (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 50000 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness992.0ms (11.5%)

Memory

-3.3MiB live, 476.0MiB allocated

Rules

12 242×	`accelerator-lowering-fma.f32`
12 242×	`accelerator-lowering-fma.f64`
12 130×	`accelerator-lowering-fma.f32`
12 130×	`accelerator-lowering-fma.f64`
6 518×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	86	26
2	629	26
0	8891	26
0	363	1829
1	1090	1751
2	3093	1633
0	8244	1566
0	88	362
1	263	358
2	670	338
3	2440	308
0	8253	300

Stop Event

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

Compiler

Compiled 245 to 116 computations (52.7% saved)

preprocess152.0ms (1.8%)

Memory: 19.6MiB live, 96.2MiB allocated
Compiler: Compiled 292 to 88 computations (69.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	665	38
9	814	38
10	845	38
11	851	38
12	857	38
13	859	38
0	859	38

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	665	38
9	814	38
10	845	38
11	851	38
12	857	38
13	859	38
0	859	38

analyze18.0ms (0.2%)

sample710.0ms (8.2%)

preprocess62.0ms (0.7%)

explain86.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.4%)

series3.0ms (0%)

rewrite1.2s (13.8%)

simplify318.0ms (3.7%)

eval218.0ms (2.5%)

prune78.0ms (0.9%)

simplify119.0ms (1.4%)

localize88.0ms (1%)

series13.0ms (0.1%)

rewrite384.0ms (4.5%)

simplify575.0ms (6.7%)

eval133.0ms (1.5%)

prune299.0ms (3.5%)

simplify39.0ms (0.5%)

localize46.0ms (0.5%)

series6.0ms (0.1%)

rewrite362.0ms (4.2%)

simplify368.0ms (4.3%)

eval86.0ms (1%)

prune67.0ms (0.8%)

simplify420.0ms (4.9%)

localize59.0ms (0.7%)

series9.0ms (0.1%)

rewrite426.0ms (4.9%)

simplify386.0ms (4.5%)

eval122.0ms (1.4%)

prune178.0ms (2.1%)

regimes22.0ms (0.3%)

regimes56.0ms (0.6%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes30.0ms (0.3%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes21.0ms (0.2%)

bsearch22.0ms (0.3%)

bsearch59.0ms (0.7%)

bsearch117.0ms (1.4%)

bsearch102.0ms (1.2%)

bsearch114.0ms (1.3%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness992.0ms (11.5%)

preprocess152.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	39
1	26	38
2	52	38
3	85	38
4	125	38
5	227	38
6	319	38
7	464	38
8	665	38
9	814	38
10	845	38
11	851	38
12	857	38
13	859	38
0	859	38