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

analyze15.0ms (0.2%)

Memory

-0.3MiB live, 39.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.4s (15.8%)

Memory

3.9MiB live, 1 596.7MiB allocated

Samples

346.0ms	6 339×	0	valid
212.0ms	1 638×	1	valid
62.0ms	264×	2	valid
3.0ms	14×	3	valid
0.0ms	1×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-sub: 119.0ms (29.1% of total)

ival-div: 77.0ms (18.8% of total)

ival-mult: 70.0ms (17.1% of total)

ival-add: 69.0ms (16.9% of total)

adjust: 59.0ms (14.4% of total)

ival-true: 7.0ms (1.7% of total)

exact: 6.0ms (1.5% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess174.0ms (2%)

Memory

-12.2MiB live, 120.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 090×	`times-frac`
928×	`lower-fma.f64`
928×	`lower-fma.f32`
882×	`div-sub`
614×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	58	57
2	180	55
3	539	55
4	1584	55
5	3893	55
6	4625	55
7	4956	55
8	4960	55
9	4960	55
10	5176	55
11	5272	55
12	5272	55
13	5272	55
0	8	11
0	13	11
1	23	11
2	48	11
3	120	11
4	361	11
5	901	11
6	1739	11
7	1941	11
8	1965	11
0	1965	10

Stop Event

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

Calls

Call 1

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

Outputs

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

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

explain112.0ms (1.3%)

Memory

10.4MiB live, 287.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
57	-	1	(-0.017157767261930666 6.008705568946677e+220)	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
38	-	0	-	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
0	-	0	-	`(+.f64 y #s(literal 1 binary64))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`
0	-	0	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`	cancellation	56	1
`/.f64`	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`	o/n	38	0
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) y)`	overflow	38

Confusion

	Predicted +	Predicted -
+	94	1
-	0	161

Precision

1.0

Recall

0.9894736842105263

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	1	0
-	0	0	161

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	162
1	94

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	412×	0	valid
11.0ms	88×	1	valid
2.0ms	10×	2	valid
2.0ms	2×	3	valid

Compiler

Compiled 98 to 36 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 8.0ms (34% of total)

ival-div: 5.0ms (21.3% of total)

ival-mult: 4.0ms (17% of total)

ival-add: 3.0ms (12.8% of total)

adjust: 2.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify53.0ms (0.6%)

Memory

-4.2MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	0	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Rules

928×	`lower-fma.f64`
928×	`lower-fma.f32`
416×	`lower-*.f32`
414×	`lower-*.f64`
308×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
0	13	34
1	23	34
2	48	34
3	120	34
4	361	34
5	901	34
6	1739	34
7	1941	34
8	1965	34
0	1965	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.4%)

Memory

2.6MiB live, 82.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	86.1%	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
✓	accuracy	80.5%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Samples

13.0ms	206×	0	valid
7.0ms	44×	1	valid
1.0ms	5×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (35.6% of total)

ival-div: 2.0ms (17.8% of total)

ival-mult: 2.0ms (17.8% of total)

adjust: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-17.5MiB live, 20.9MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite285.0ms (3.2%)

Memory

52.0MiB live, 631.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 332×	`lower-fma.f64`
6 332×	`lower-fma.f32`
4 782×	`lower-*.f32`
4 780×	`lower-*.f64`
3 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30

Stop Event

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

Counts

5 → 473

Calls

Call 1

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

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

simplify414.0ms (4.7%)

Memory

-41.9MiB live, 782.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 336×	`lower-fma.f64`
13 336×	`lower-fma.f32`
3 556×	`lower-+.f64`
3 556×	`lower-+.f32`
2 780×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	823
1	400	799
2	1127	684
3	4566	669
0	8319	648

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

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

eval77.0ms (0.9%)

Memory: -1.4MiB live, 150.6MiB allocated
Compiler: Compiled 13 606 to 1 626 computations (88% saved)

prune70.0ms (0.8%)

Memory

35.7MiB live, 195.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	554	10	564
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	555	10	565

Accuracy

100.0%

Counts

565 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.9%	(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)
	51.7%	(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
▶	80.5%	(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
▶	52.1%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
▶	43.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
	29.3%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
	49.1%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))
	48.7%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
▶	48.2%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	41.8%	#s(literal 1 binary64)

Compiler

Compiled 206 to 138 computations (33% saved)

simplify71.0ms (0.8%)

Memory

-21.4MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1 136×	`lower-fma.f32`
1 132×	`lower-fma.f64`
464×	`lower-*.f32`
462×	`lower-*.f64`
442×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	76
0	26	76
1	53	76
2	89	76
3	146	76
4	353	76
5	984	76
6	1880	76
7	2066	76
8	2067	76
0	2067	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize125.0ms (1.4%)

Memory

21.5MiB live, 137.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 y (+.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 y (+.f64 #s(literal 1 binary64) y))
✓	accuracy	55.6%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
✓	accuracy	80.5%	(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))

Samples

18.0ms	73×	1	valid
16.0ms	138×	0	valid
14.0ms	38×	2	valid
2.0ms	4×	3	valid
2.0ms	3×	4	valid

Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 7.0ms (20.8% of total)

ival-mult: 7.0ms (20.8% of total)

adjust: 6.0ms (17.9% of total)

ival-div: 6.0ms (17.9% of total)

ival-sub: 6.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-34.5MiB live, 15.6MiB allocated

Counts

10 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(/ (- 1 x) (- -1 y))
1.0ms	y	@	inf	(+ (* y (+ x -1)) 1)
1.0ms	x	@	0	(* (/ y (+ 1 y)) x)
1.0ms	x	@	inf	(* (/ y (+ 1 y)) x)
0.0ms	x	@	inf	(/ (- 1 x) (- -1 y))

rewrite319.0ms (3.6%)

Memory

19.7MiB live, 565.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 992×	`lower-fma.f32`
4 988×	`lower-fma.f64`
4 082×	`lower-/.f32`
4 078×	`lower-/.f64`
3 622×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	26	54
1	134	54
2	1190	54
0	8732	54

Stop Event

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

Counts

10 → 571

Calls

Call 1

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

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

simplify407.0ms (4.6%)

Memory

-9.1MiB live, 730.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 926×	`lower-fma.f64`
15 926×	`lower-fma.f32`
3 446×	`lower-+.f64`
3 446×	`lower-+.f32`
2 988×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	1399
1	655	1219
2	1958	1124
3	7087	1124
0	8362	1075

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 161

Calls

Call 1

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

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

eval115.0ms (1.3%)

Memory: 10.2MiB live, 309.3MiB allocated
Compiler: Compiled 15 763 to 1 921 computations (87.8% saved)

prune118.0ms (1.3%)

Memory

5.1MiB live, 336.3MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	840	12	852
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	845	17	862

Accuracy

100.0%

Counts

862 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
	41.5%	(fma.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	52.1%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
	41.5%	(fma.f64 y y (-.f64 #s(literal 1 binary64) y))
	14.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
	14.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	14.6%	(/.f64 #s(literal 1 binary64) y)
	36.6%	(-.f64 x (/.f64 x y))
✓	43.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
	41.7%	(-.f64 #s(literal 1 binary64) y)
	3.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	48.7%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))
✓	48.2%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶	13.1%	(.f64 (-.f64 y (.f64 y y)) x)
▶	14.0%	(*.f64 y x)
▶	37.0%	x
✓	41.8%	#s(literal 1 binary64)

Compiler

Compiled 227 to 155 computations (31.7% saved)

simplify74.0ms (0.8%)

Memory

7.8MiB live, 84.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

1 072×	`lower-fma.f32`
1 070×	`lower-fma.f64`
536×	`lower-*.f32`
530×	`lower-*.f64`
280×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	25	60
1	45	59
2	71	59
3	158	59
4	296	59
5	531	59
6	1063	59
7	1558	59
8	1694	59
9	1727	59
10	1739	59
11	1739	59
0	1739	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (0.8%)

Memory

5.8MiB live, 165.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
✓	accuracy	55.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(-.f64 y (*.f64 y y))
✓	accuracy	94.8%	(.f64 (-.f64 y (.f64 y y)) x)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓	accuracy	100.0%	(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))

Samples

20.0ms	73×	1	valid
19.0ms	45×	2	valid
15.0ms	138×	0	valid

Compiler

Compiled 62 to 17 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 11.0ms (30.4% of total)

ival-mult: 10.0ms (27.6% of total)

ival-div: 6.0ms (16.6% of total)

adjust: 5.0ms (13.8% of total)

ival-add: 5.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-13.1MiB live, 26.1MiB allocated

Counts

10 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (- y (* y y)) x)
2.0ms	x	@	0	(+ x (/ (- 1 x) y))
1.0ms	x	@	0	(* (- y (* y y)) x)
0.0ms	x	@	inf	(* (- y (* y y)) x)
0.0ms	y	@	0	(* (- y (* y y)) x)

rewrite463.0ms (5.2%)

Memory

-19.8MiB live, 541.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 156×	`lower-fma.f32`
8 154×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 758×	`lower-*.f64`
4 126×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	25	49
1	113	48
2	860	48
0	8498	48

Stop Event

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

Counts

10 → 607

Calls

Call 1

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

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

simplify623.0ms (7%)

Memory

25.9MiB live, 509.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 268×	`lower-fma.f64`
14 268×	`lower-fma.f32`
3 250×	`lower-*.f64`
3 250×	`lower-*.f32`
1 730×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	980
1	282	927
2	687	838
3	1698	834
4	4515	834
5	7319	834
0	8087	830

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 165

Calls

Call 1

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

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

eval100.0ms (1.1%)

Memory: -2.4MiB live, 266.3MiB allocated
Compiler: Compiled 14 209 to 1 829 computations (87.1% saved)

prune89.0ms (1%)

Memory

-0.2MiB live, 277.9MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	765	7	772
Fresh	3	5	8
Picked	1	4	5
Done	0	4	4
Total	769	20	789

Accuracy

100.0%

Counts

789 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
▶	41.5%	(fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64))
	31.4%	(fma.f64 (-.f64 y (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	52.1%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
	14.8%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)
	14.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	14.6%	(/.f64 #s(literal 1 binary64) y)
▶	41.5%	(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
	36.6%	(-.f64 x (/.f64 x y))
✓	43.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
	41.7%	(-.f64 #s(literal 1 binary64) y)
▶	3.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	49.1%	(+.f64 x (/.f64 #s(literal 1 binary64) y))
✓	48.2%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
	11.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 y #s(literal -1 binary64)))
✓	13.1%	(.f64 (-.f64 y (.f64 y y)) x)
▶	41.5%	(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
✓	14.0%	(*.f64 y x)
✓	37.0%	x
✓	41.8%	#s(literal 1 binary64)

Compiler

Compiled 268 to 178 computations (33.6% saved)

simplify95.0ms (1.1%)

Memory

-1.7MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 y (fma.f64 y y #s(literal 1 binary64)))
✓	cost-diff	64	(fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1 binary64) y))

Rules

1 488×	`lower-fma.f32`
1 484×	`lower-fma.f64`
392×	`lower-*.f32`
390×	`lower-*.f64`
344×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
0	24	62
1	44	62
2	96	62
3	218	62
4	475	62
5	951	62
6	1386	62
7	1450	62
8	1467	62
9	1484	62
10	1506	62
11	1526	62
12	1540	62
13	1543	62
0	1543	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (0.6%)

Memory

4.0MiB live, 122.5MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

30.0ms

256×

valid

Compiler

Compiled 67 to 16 computations (76.1% saved)

Precisions

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

ival-mult: 5.0ms (33.3% of total)

ival-sub: 4.0ms (26.7% of total)

ival-add: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.3%)

Memory

-31.4MiB live, 8.0MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite373.0ms (4.2%)

Memory

34.7MiB live, 743.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 584×	`lower-fma.f32`
7 580×	`lower-fma.f64`
3 876×	`lower-/.f32`
3 874×	`lower-/.f64`
3 536×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	24	44
1	115	44
2	1019	44
0	8589	44

Stop Event

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

Counts

9 → 825

Calls

Call 1

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

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

simplify306.0ms (3.4%)

Memory

-12.6MiB live, 534.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 218×	`lower-fma.f64`
12 218×	`lower-fma.f32`
2 854×	`lower-*.f64`
2 854×	`lower-*.f32`
1 340×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	592
1	186	560
2	554	520
3	1960	508
4	5110	508
0	8103	472

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 104

Calls

Call 1

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

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

eval369.0ms (4.1%)

Memory: -108.8MiB live, 264.7MiB allocated
Compiler: Compiled 26 426 to 1 739 computations (93.4% saved)

prune106.0ms (1.2%)

Memory

-5.8MiB live, 236.8MiB allocated

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	1 034	3	1 037
Fresh	1	6	7
Picked	1	4	5
Done	0	8	8
Total	1 036	21	1 057

Accuracy

100.0%

Counts

1 057 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
✓	41.5%	(fma.f64 (-.f64 y (fma.f64 y y #s(literal 1 binary64))) y #s(literal 1 binary64))
✓	52.1%	(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
	14.8%	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)
	35.1%	(/.f64 (fma.f64 y x #s(literal 1 binary64)) y)
	14.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
	14.6%	(/.f64 #s(literal 1 binary64) y)
✓	41.5%	(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
	36.6%	(-.f64 x (/.f64 x y))
✓	43.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
	41.7%	(-.f64 #s(literal 1 binary64) y)
✓	49.1%	(+.f64 x (/.f64 #s(literal 1 binary64) y))
✓	48.2%	(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
	11.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 y #s(literal -1 binary64)))
✓	13.1%	(.f64 (-.f64 y (.f64 y y)) x)
✓	41.5%	(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
	41.5%	(.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (.f64 y y) #s(literal 1 binary64)))
✓	14.0%	(*.f64 y x)
✓	37.0%	x
✓	41.8%	#s(literal 1 binary64)
	3.0%	#s(literal 0 binary64)

Compiler

Compiled 404 to 181 computations (55.2% saved)

regimes50.0ms (0.6%)

Memory

-16.2MiB live, 103.7MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

11.0ms	x
10.0ms	(-.f64 #s(literal 1 binary64) x)
9.0ms	y
9.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
9.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
80.5%	1	`x`
100.0%	3	`y`
100.0%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
100.0%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
80.5%	1	`(-.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes28.0ms (0.3%)

Memory

10.8MiB live, 49.1MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

10.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
9.0ms	y
8.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.9%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.9%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
100.0%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes25.0ms (0.3%)

Memory

6.3MiB live, 44.8MiB allocated

Counts

29 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms	y
7.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.3%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.3%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
99.4%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory

-1.1MiB live, 37.3MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	y
7.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
6.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.2%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
99.2%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
98.5%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.1%)

Memory

-28.3MiB live, 14.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-6.5MiB live, 31.3MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
4.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
80.0%	4	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
80.0%	4	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
85.9%	3	`y`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes19.0ms (0.2%)

Memory

-1.6MiB live, 36.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y (-.f64 #s(literal 1 binary64) y))

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

Calls

5 calls:

6.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y
3.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
75.3%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.3%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
55.6%	3	`x`
55.6%	3	`(-.f64 #s(literal 1 binary64) x)`
75.3%	3	`y`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

3.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
75.3%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.3%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
x
#s(literal 1 binary64)
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.1%	3	`y`
75.1%	3	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
75.1%	3	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.1%)

Memory

-20.4MiB live, 17.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

5 calls:

5.0ms	y
2.0ms	x
1.0ms	(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
1.0ms	(-.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
41.8%	1	`(-.f64 #s(literal 1 binary64) x)`
41.8%	1	`x`
41.8%	1	`y`
41.8%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`
41.8%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))`
3.0%	1	`(-.f64 #s(literal 1 binary64) x)`
3.0%	1	`x`
3.0%	1	`y`
3.0%	1	`(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch57.0ms (0.6%)

Memory

-9.1MiB live, 34.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8771831546015469	32084765.791370597
41.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

43.0ms

304×

valid

Compiler

Compiled 681 to 431 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 29.0ms (79.7% of total)

ival-sub: 3.0ms (8.2% of total)

ival-div: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Memory

9.0MiB live, 47.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8771831546015469	32084765.791370597
16.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

17.0ms

304×

valid

Compiler

Compiled 567 to 374 computations (34% saved)

Precisions

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

ival-sub: 3.0ms (33% of total)

ival-div: 2.0ms (22% of total)

ival-mult: 2.0ms (22% of total)

ival-add: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

6.9MiB live, 45.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	32084765.791370597	4560396372924.112
11.0ms	-7346224405.339288	-1202917389.9782212

Samples

10.0ms	166×	0	valid
7.0ms	74×	1	valid

Compiler

Compiled 346 to 238 computations (31.2% saved)

Precisions

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

ival-sub: 3.0ms (30% of total)

ival-div: 2.0ms (20% of total)

ival-mult: 2.0ms (20% of total)

adjust: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

exact: 0.0ms (0% of total)

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

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

bsearch27.0ms (0.3%)

Memory

-5.6MiB live, 32.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	32084765.791370597	4560396372924.112
10.0ms	-1202917389.9782212	-80246514.99298775

Samples

12.0ms	201×	0	valid
4.0ms	39×	1	valid

Compiler

Compiled 343 to 244 computations (28.9% saved)

Precisions

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

ival-sub: 3.0ms (34.3% of total)

ival-div: 2.0ms (22.9% of total)

ival-mult: 2.0ms (22.9% of total)

adjust: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

exact: 0.0ms (0% of total)

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

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

bsearch28.0ms (0.3%)

Memory

-30.0MiB live, 36.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.2265809961619807	0.8771831546015469
19.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

17.0ms

240×

valid

Compiler

Compiled 351 to 248 computations (29.3% saved)

Precisions

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

ival-div: 7.0ms (57.1% of total)

ival-sub: 2.0ms (16.3% of total)

ival-mult: 2.0ms (16.3% of total)

ival-add: 1.0ms (8.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Memory

-3.8MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8771831546015469	32084765.791370597
19.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

21.0ms

304×

valid

Compiler

Compiled 359 to 270 computations (24.8% saved)

Precisions

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

ival-sub: 3.0ms (33.7% of total)

ival-div: 2.0ms (22.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-add: 1.0ms (11.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8771831546015469	32084765.791370597
14.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

15.0ms

304×

valid

Compiler

Compiled 339 to 260 computations (23.3% saved)

Precisions

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

ival-sub: 3.0ms (33.9% of total)

ival-div: 2.0ms (22.6% of total)

ival-mult: 2.0ms (22.6% of total)

ival-add: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch62.0ms (0.7%)

Memory

-5.6MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8771831546015469	32084765.791370597
46.0ms	-62567696.81787008	-1.4490438546586653e-9

Samples

48.0ms

304×

valid

Compiler

Compiled 263 to 203 computations (22.8% saved)

Precisions

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

ival-mult: 34.0ms (82.4% of total)

ival-sub: 3.0ms (7.3% of total)

ival-div: 2.0ms (4.8% of total)

ival-add: 1.0ms (2.4% 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

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1847256698668587	0.9999990559506257
0.0ms	-1349618599.4661014	-1.4490438567583934e-9

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1847256698668587	0.9999990559506257
0.0ms	-1349618599.4661014	-1.4490438567583934e-9

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.1847256698668587	0.9999990559506257
0.0ms	-1349618599.4661014	-1.4490438567583934e-9

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify32.0ms (0.4%)

Memory

-4.6MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Rules

158×	`distribute-lft-neg-in_binary64`
100×	`neg-mul-1_binary64`
88×	`distribute-neg-in_binary64`
86×	`unsub-neg_binary64`
86×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	343
1	104	343
2	129	343
3	151	343
4	169	343
5	192	343
6	225	343
7	264	343
8	282	343
9	313	343
10	375	343
11	453	343
12	537	343
13	600	343
14	616	343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal -12500 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)) (if (<=.f64 y #s(literal 13000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))))
(if (<=.f64 y #s(literal -140000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 290000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))
(if (<=.f64 y #s(literal -7000000000 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 58000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -145000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 50000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 8106479329266893/9007199254740992 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 8106479329266893/9007199254740992 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)
#s(literal 0 binary64)

Outputs
(if (<=.f64 y #s(literal -12500 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)) (if (<=.f64 y #s(literal 13000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))))
(if (<=.f64 y #s(literal -12500 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) (if (<=.f64 y #s(literal 13000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))))
(if (<=.f64 y #s(literal -140000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 290000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))
(if (<=.f64 y #s(literal -140000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 y #s(literal 290000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))
(if (<=.f64 y #s(literal -7000000000 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 58000000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -7000000000 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 58000000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -145000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 50000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 8106479329266893/9007199254740992 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 8106479329266893/9007199254740992 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x))
(if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (-.f64 #s(literal 1 binary64) y) x))
(if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000 binary64)) x (if (<=.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 y #s(literal 1 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)
#s(literal 0 binary64)

soundness1.6s (18.4%)

Memory

-9.4MiB live, 1 059.8MiB allocated

Rules

15 926×	`lower-fma.f64`
15 926×	`lower-fma.f32`
14 268×	`lower-fma.f64`
14 268×	`lower-fma.f32`
13 336×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	1399
1	655	1219
2	1958	1124
3	7087	1124
0	8362	1075
0	101	980
1	282	927
2	687	838
3	1698	834
4	4515	834
5	7319	834
0	8087	830
0	8	31
0	13	31
1	63	31
2	533	31
0	8517	30
0	127	823
1	400	799
2	1127	684
3	4566	669
0	8319	648
0	12	45
0	24	44
1	115	44
2	1019	44
0	8589	44
0	14	54
0	26	54
1	134	54
2	1190	54
0	8732	54

Stop Event

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

Compiler

Compiled 557 to 235 computations (57.8% saved)

preprocess134.0ms (1.5%)

Memory: -7.2MiB live, 239.8MiB allocated
Compiler: Compiled 794 to 212 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	79	343
1	104	343
2	129	343
3	151	343
4	169	343
5	192	343
6	225	343
7	264	343
8	282	343
9	313	343
10	375	343
11	453	343
12	537	343
13	600	343
14	616	343

Iter	Nodes	Cost
0	79	343
1	104	343
2	129	343
3	151	343
4	169	343
5	192	343
6	225	343
7	264	343
8	282	343
9	313	343
10	375	343
11	453	343
12	537	343
13	600	343
14	616	343

analyze15.0ms (0.2%)

sample1.4s (15.8%)

preprocess174.0ms (2%)

explain112.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize33.0ms (0.4%)

series8.0ms (0.1%)

rewrite285.0ms (3.2%)

simplify414.0ms (4.7%)

eval77.0ms (0.9%)

prune70.0ms (0.8%)

simplify71.0ms (0.8%)

localize125.0ms (1.4%)

series28.0ms (0.3%)

rewrite319.0ms (3.6%)

simplify407.0ms (4.6%)

eval115.0ms (1.3%)

prune118.0ms (1.3%)

simplify74.0ms (0.8%)

localize72.0ms (0.8%)

series11.0ms (0.1%)

rewrite463.0ms (5.2%)

simplify623.0ms (7%)

eval100.0ms (1.1%)

prune89.0ms (1%)

simplify95.0ms (1.1%)

localize49.0ms (0.6%)

series31.0ms (0.3%)

rewrite373.0ms (4.2%)

simplify306.0ms (3.4%)

eval369.0ms (4.1%)

prune106.0ms (1.2%)

regimes50.0ms (0.6%)

regimes28.0ms (0.3%)

regimes25.0ms (0.3%)

regimes9.0ms (0.1%)

regimes22.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes15.0ms (0.2%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch57.0ms (0.6%)

bsearch31.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch27.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch34.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch62.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.4%)

soundness1.6s (18.4%)

preprocess134.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	79	343
1	104	343
2	129	343
3	151	343
4	169	343
5	192	343
6	225	343
7	264	343
8	282	343
9	313	343
10	375	343
11	453	343
12	537	343
13	600	343
14	616	343