Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, F

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample502.0ms (12.5%)

Memory

18.4MiB live, 1 006.1MiB allocated

Samples

319.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 128.0ms (90.4% of total)

ival-true: 6.0ms (4.2% of total)

exact: 5.0ms (3.5% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

preprocess26.0ms (0.6%)

Memory

6.2MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`distribute-lft-neg-in`
74×	`associate-r`
54×	`distribute-rgt-neg-in`
48×	`distribute-lft-in`
46×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	44	25
2	111	25
3	288	25
4	369	25
5	389	25
0	5	5
0	7	5
1	11	5
2	18	5
3	20	5
0	20	5

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 #s(literal 27 binary64) (.f64 x y))

Symmetry

(negabs y)

(negabs x)

(sort x y)

explain46.0ms (1.1%)

Memory

-5.5MiB live, 112.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(4.0954833562501936e+217 6.606121455626675e+232)	`(*.f64 x #s(literal 27 binary64))`
256	-	256	(4.0954833562501936e+217 6.606121455626675e+232)	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`y`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms

512×

valid

Compiler

Compiled 53 to 29 computations (45.3% saved)

Precisions

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

ival-mult: 7.0ms (94.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB 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
▶	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 27 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 27 binary64)) y)

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	18	11
3	20	11
0	20	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 #s(literal 27 binary64) (.f64 x y))
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y

localize20.0ms (0.5%)

Memory

-5.0MiB live, 41.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	6.0%	(.f64 (.f64 x #s(literal 27 binary64)) y)
✓	accuracy	5.3%	(*.f64 x #s(literal 27 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

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

ival-mult: 3.0ms (66% of total)

ival-true: 1.0ms (22% of total)

exact: 0.0ms (0% of total)

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

series69.0ms (1.7%)

Memory

-30.9MiB live, 8.1MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x #s(literal 27 binary64)) y)>
#<alt (*.f64 x #s(literal 27 binary64))>

Outputs
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

9 calls:

Time	Variable		Point	Expression
65.0ms	y	@	0	(* (* x 27) y)
1.0ms	y	@	inf	(* (* x 27) y)
1.0ms	x	@	inf	(* (* x 27) y)
1.0ms	x	@	0	(* (* x 27) y)
0.0ms	y	@	-inf	(* (* x 27) y)

Compiler

Compiled 54 to 39 computations (27.8% saved)

rewrite18.0ms (0.5%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

24×	`lower-*.f32`
20×	`lower-*.f64`
10×	`*-commutative`
6×	`associate-r`
6×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

2 → 8

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))

Outputs
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 y (.f64 x #s(literal 27 binary64)))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) x)

simplify32.0ms (0.8%)

Memory

-27.4MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`lower-*.f64`
28×	`lower-*.f32`
24×	`lower-fma.f64`
24×	`lower-fma.f32`
20×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	128
1	14	128
2	22	128
3	24	128
4	26	128
5	28	128
6	32	128
7	48	128
8	55	128
0	55	128

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 32

Calls

Call 1

Inputs
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval3.0ms (0.1%)

Memory: 7.2MiB live, 7.2MiB allocated
Compiler: Compiled 182 to 16 computations (91.2% saved)

prune3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Accuracy

100.0%

Counts

41 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
▶	99.1%	(.f64 (.f64 #s(literal 27 binary64) y) x)
▶	13.4%	(*.f64 (neg.f64 x) y)
▶	6.0%	(*.f64 #s(literal 27 binary64) x)

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify9.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	cost-diff	(*.f64 #s(literal 27 binary64) y)
✓	cost-diff	(.f64 (.f64 #s(literal 27 binary64) y) x)
✓	cost-diff	(neg.f64 x)
✓	cost-diff	(*.f64 (neg.f64 x) y)
✓	cost-diff	(*.f64 #s(literal 27 binary64) x)

Rules

44×	`lower-fma.f64`
44×	`lower-fma.f32`
44×	`lower-*.f32`
36×	`lower-+.f64`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	17	35
1	30	35
2	41	35
3	52	35
4	58	35
5	69	35
6	93	35
7	101	35
8	112	35
9	113	35
0	113	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 #s(literal 27 binary64) x)
#s(literal 27 binary64)
x
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(.f64 (.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x y)
x
y
#s(literal 27 binary64)

Outputs
(*.f64 #s(literal 27 binary64) x)
#s(literal 27 binary64)
x
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(neg.f64 x)
x
y
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 #s(literal 27 binary64) (.f64 x y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(.f64 (.f64 x y) #s(literal 27 binary64))
(.f64 #s(literal 27 binary64) (.f64 x y))
(*.f64 x y)
x
y
#s(literal 27 binary64)

localize33.0ms (0.8%)

Memory

-11.2MiB live, 67.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	6.3%	(*.f64 x y)
✓	accuracy	5.3%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	accuracy	99.1%	(.f64 (.f64 #s(literal 27 binary64) y) x)
✓	accuracy	15.3%	(*.f64 #s(literal 27 binary64) y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	3.0%	(*.f64 (neg.f64 x) y)
✓	accuracy	2.9%	(*.f64 #s(literal 27 binary64) x)

Samples

21.0ms

256×

valid

Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions

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

ival-mult: 8.0ms (80.9% of total)

ival-neg: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Memory

-14.5MiB live, 24.2MiB allocated

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 27 binary64) x)>
#<alt (*.f64 (neg.f64 x) y)>
#<alt (neg.f64 x)>
#<alt (.f64 (.f64 #s(literal 27 binary64) y) x)>
#<alt (*.f64 #s(literal 27 binary64) y)>
#<alt (.f64 (.f64 x y) #s(literal 27 binary64))>
#<alt (*.f64 x y)>

Outputs
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* x 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)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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)>

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(* (* x y) 27)
1.0ms	y	@	inf	(* (* 27 y) x)
0.0ms	x	@	inf	(* (* 27 y) x)
0.0ms	y	@	inf	(* (neg x) y)
0.0ms	x	@	0	(* (neg x) y)

Compiler

Compiled 192 to 135 computations (29.7% saved)

rewrite77.0ms (1.9%)

Memory

0.4MiB live, 118.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

660×	`lower-/.f64`
660×	`lower-/.f32`
622×	`lower-*.f32`
610×	`lower-*.f64`
388×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	17	25
1	30	25
2	54	25
3	208	25
0	2041	25

Stop Event

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

Counts

7 → 269

Calls

Call 1

Inputs
(*.f64 #s(literal 27 binary64) x)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(.f64 (.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 x y)

Outputs
(+.f64 (*.f64 #s(literal 27 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) x))
(fma.f64 #s(literal 27 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 27 binary64) #s(literal 0 binary64))
(/.f64 (.f64 #s(literal 27 binary64) (neg.f64 (.f64 x x))) (neg.f64 x))
(/.f64 (.f64 #s(literal 27 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 27 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 27 binary64)) (.f64 x x))
(*.f64 #s(literal 27 binary64) x)
(*.f64 x #s(literal 27 binary64))
(+.f64 (*.f64 (neg.f64 x) y) #s(literal 0 binary64))
(+.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 x) y) (.f64 #s(literal 0 binary64) (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
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(.f64 (/.f64 (.f64 x x) (*.f64 x x)) (neg.f64 x))
(+.f64 (.f64 #s(literal 27 binary64) (.f64 x y)) (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 27 binary64) (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)) (.f64 #s(literal 27 binary64) (.f64 x y)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)) (.f64 #s(literal 27 binary64) (.f64 x y)))
(fma.f64 #s(literal 27 binary64) (.f64 x y) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 27 binary64) (.f64 x y) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 x (.f64 #s(literal 27 binary64) y) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 x (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) x) y (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 27 binary64) x) y (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 y (.f64 #s(literal 27 binary64) x) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (.f64 #s(literal 27 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) y) x (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 27 binary64) y) x (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64) (.f64 #s(literal 27 binary64) (*.f64 x y)))
(fma.f64 (.f64 x y) #s(literal 27 binary64) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 x y) #s(literal 27 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 27 binary64) (*.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 27 binary64) y) (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 27 binary64) y) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal 27 binary64) y)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 #s(literal 27 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 (.f64 #s(literal 27 binary64) x) y)
(.f64 y (.f64 #s(literal 27 binary64) x))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x y) #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
(+.f64 (.f64 #s(literal 27 binary64) (.f64 x y)) (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 27 binary64) (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)) (.f64 #s(literal 27 binary64) (.f64 x y)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)) (.f64 #s(literal 27 binary64) (.f64 x y)))
(fma.f64 #s(literal 27 binary64) (.f64 x y) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 27 binary64) (.f64 x y) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 x (.f64 #s(literal 27 binary64) y) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 x (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) x) y (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 27 binary64) x) y (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 y (.f64 #s(literal 27 binary64) x) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (.f64 #s(literal 27 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) y) x (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 27 binary64) y) x (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 (.f64 #s(literal 27 binary64) y) #s(literal 0 binary64) (.f64 #s(literal 27 binary64) (*.f64 x y)))
(fma.f64 (.f64 x y) #s(literal 27 binary64) (.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 x y) #s(literal 27 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)))
(fma.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y) (.f64 #s(literal 27 binary64) (*.f64 x y)))
(/.f64 (.f64 (.f64 #s(literal 27 binary64) y) (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 27 binary64) y) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (*.f64 #s(literal 27 binary64) y)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 #s(literal 27 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 (.f64 #s(literal 27 binary64) x) y)
(.f64 y (.f64 #s(literal 27 binary64) x))
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x y) #s(literal 27 binary64))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (.f64 (.f64 x x) y)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y (.f64 x y))) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) y) (.f64 x x))
(/.f64 (.f64 y (.f64 x (.f64 x x))) (.f64 x x))
(*.f64 x y)
(*.f64 y x)

simplify12.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`lower-*.f64`
44×	`lower-fma.f64`
44×	`lower-fma.f32`
44×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416

Stop Event

1×	iter limit
1×	saturated

Counts

132 → 116

Calls

Call 1

Inputs
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
y
y
y
y
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
x
x
x
x
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)

Outputs
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
y
y
y
y
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* 27 (* x y))
(.f64 #s(literal 27 binary64) (.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
x
x
x
x
x
x
x
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval40.0ms (1%)

Memory: -18.6MiB live, 93.5MiB allocated
Compiler: Compiled 3 860 to 438 computations (88.7% saved)

prune35.0ms (0.9%)

Memory

3.4MiB live, 84.4MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	381	4	385
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	381	9	390

Accuracy

100.0%

Counts

390 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.4%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
▶	43.3%	(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
✓	99.1%	(.f64 (.f64 #s(literal 27 binary64) y) x)
✓	13.4%	(*.f64 (neg.f64 x) y)
▶	6.3%	(*.f64 #s(literal 27 binary64) y)
✓	6.0%	(*.f64 #s(literal 27 binary64) x)
▶	3.0%	(neg.f64 x)

Compiler

Compiled 73 to 49 computations (32.9% saved)

simplify153.0ms (3.8%)

Memory

-23.3MiB live, 235.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))
✓	cost-diff	1664	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 y (*.f64 x y)))
✓	cost-diff	0	(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
✓	cost-diff	0	(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
✓	cost-diff	1920	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
✓	cost-diff	0	(*.f64 #s(literal 27 binary64) y)
✓	cost-diff	0	(neg.f64 x)

Rules

4 260×	`lower-*.f32`
4 242×	`lower-*.f64`
1 972×	`lower-/.f32`
1 968×	`lower-/.f64`
1 520×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	104
0	29	112
1	68	112
2	261	92
3	1698	72
4	4084	72
5	5419	72
6	7153	72
0	8090	72

Stop Event

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

Calls

Call 1

Inputs
(neg.f64 x)
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
(.f64 x (.f64 y (*.f64 x y)))
x
(.f64 y (.f64 x y))
y
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(literal 27 binary64)
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y

Outputs
(neg.f64 x)
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
(.f64 x (.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
(*.f64 x y)
(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(.f64 x (.f64 y (*.f64 x y)))
(.f64 y (.f64 x (*.f64 x y)))
x
(.f64 y (.f64 x y))
(.f64 x (.f64 y y))
y
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(neg.f64 x)
#s(literal 27 binary64)
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 x (.f64 #s(literal 27 binary64) y))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))
(.f64 x (.f64 #s(literal 27 binary64) (.f64 x (.f64 x y))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y

localize72.0ms (1.8%)

Memory

-4.4MiB live, 76.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	15.3%	(*.f64 #s(literal 27 binary64) y)
✓	accuracy	14.4%	(.f64 x (.f64 x x))
✓	accuracy	4.3%	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))
✓	accuracy	4.2%	(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
✓	accuracy	23.6%	(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
✓	accuracy	6.0%	(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
✓	accuracy	3.0%	(*.f64 (neg.f64 x) y)
✓	accuracy	1.9%	(neg.f64 x)
✓	accuracy	15.3%	(*.f64 #s(literal 27 binary64) y)
✓	accuracy	1.9%	(neg.f64 x)

Samples

32.0ms

256×

valid

Compiler

Compiled 212 to 34 computations (84% saved)

Precisions

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

ival-mult: 16.0ms (75% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.5%)

Memory

26.3MiB live, 26.3MiB allocated

Counts

11 → 216

Calls

Call 1

Inputs
#<alt (neg.f64 x)>
#<alt (*.f64 #s(literal 27 binary64) y)>
#<alt (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))>
#<alt (.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))>
#<alt (neg.f64 (.f64 x (.f64 y (*.f64 x y))))>
#<alt (.f64 x (.f64 y (*.f64 x y)))>
#<alt (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))>
#<alt (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (neg.f64 x) y)>

Outputs
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (pow x 3))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt (* 27 (* (pow x 3) y))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* x 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))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* (* x (* x x)) (* 27 y))
1.0ms	y	@	0	(* (* x (* x x)) (* 27 y))
1.0ms	x	@	0	(neg (* x (* y (* x y))))
1.0ms	y	@	-inf	(* (* x (* x x)) (* 27 y))
1.0ms	x	@	inf	(neg (* x (* y (* x y))))

Compiler

Compiled 380 to 272 computations (28.4% saved)

rewrite226.0ms (5.6%)

Memory

1.9MiB live, 307.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 768×	`lower-*.f32`
3 750×	`lower-*.f64`
3 690×	`lower-/.f32`
3 686×	`lower-/.f64`
1 574×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	82
0	29	80
1	85	64
2	508	46
3	4261	46
0	8679	46

Stop Event

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

Counts

11 → 1 035

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) y)
(/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 (neg.f64 x) y))
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))
(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
(.f64 x (.f64 y (*.f64 x y)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y))
(.f64 x (.f64 x x))
(*.f64 x x)
(*.f64 (neg.f64 x) y)

Outputs
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (.f64 x x) (.f64 x (neg.f64 x)))) (.f64 x (.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 x))) (.f64 (.f64 x x) (.f64 x (.f64 x (neg.f64 x))))) (.f64 (.f64 x x) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x x) (.f64 x (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(.f64 (.f64 x (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 0 binary64)) (*.f64 x y))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 x y))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 0 binary64) (.f64 x y))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 x y))
(neg.f64 (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 y y)) y)
(/.f64 (.f64 x (.f64 y y)) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 x (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 x y)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 x (neg.f64 y)))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 x (neg.f64 y))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 x (neg.f64 y)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))) (.f64 x y))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (.f64 x (.f64 x (neg.f64 y))) (neg.f64 x))
(/.f64 (.f64 x (.f64 x y)) x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x (neg.f64 y))) (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (.f64 x (.f64 x (.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 (.f64 x (neg.f64 y)) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (neg.f64 y)) (.f64 x (.f64 y (neg.f64 y))))) (.f64 x (*.f64 y (neg.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (.f64 x (neg.f64 y)) (.f64 x (.f64 x y)))) (.f64 x (*.f64 x y)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (.f64 y y))) (.f64 x (.f64 x (neg.f64 y))))
(/.f64 (.f64 (.f64 x (.f64 x (neg.f64 x))) (.f64 x (.f64 y y))) (.f64 (.f64 x x) (.f64 x (neg.f64 y))))
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(/.f64 (.f64 x (.f64 x x)) x)
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (.f64 x (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (-.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64))) (neg.f64 (-.f64 (.f64 x x) #s(literal 0 binary64))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 (.f64 x (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(+.f64 (.f64 #s(literal 0 binary64) y) (.f64 x (neg.f64 y)))
(+.f64 (.f64 y #s(literal 0 binary64)) (.f64 x (neg.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (.f64 x y)) (.f64 (log.f64 (*.f64 x (neg.f64 y))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 x (neg.f64 y))) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)))))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 x (neg.f64 y))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(fma.f64 y #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal 0 binary64) y (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x y))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 y y)) (neg.f64 y))
(/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 x y))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (.f64 x (.f64 y (neg.f64 y))) y)
(/.f64 (.f64 x (.f64 y (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 x y) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y)))))) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (.f64 x (.f64 x (neg.f64 y))) x)
(/.f64 (.f64 x (.f64 x y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 x (.f64 x (.f64 y y))))))) (neg.f64 (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))))
(/.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) #s(literal -1 binary64)) (.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (.f64 (.f64 x (.f64 x (neg.f64 x))) y) (.f64 x x))
(/.f64 (.f64 y (.f64 x (.f64 x (neg.f64 x)))) (.f64 x x))
(/.f64 (.f64 y (.f64 x (neg.f64 x))) x)
(/.f64 (.f64 (/.f64 x y) (.f64 x (*.f64 y y))) (neg.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 x y)) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x (neg.f64 x))) y)) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x (.f64 x (.f64 y y)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 y (.f64 x (.f64 x (neg.f64 x))))) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (.f64 y (.f64 x (neg.f64 x)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 x y) (.f64 x (*.f64 y y)))) x)
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x y)) #s(literal -1 binary64))) (neg.f64 x))
(pow.f64 (*.f64 x (neg.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(*.f64 y (neg.f64 x))
(.f64 y (/.f64 (.f64 x y) (neg.f64 y)))
(.f64 y (.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)))
(.f64 y (.f64 (.f64 x (.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(.f64 y (/.f64 (.f64 x (.f64 x (neg.f64 y))) (.f64 x y)))
(.f64 (.f64 x y) #s(literal -1 binary64))
(.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(.f64 (.f64 x (neg.f64 y)) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 y)) (/.f64 y y))
(.f64 (.f64 x x) (.f64 (.f64 y y) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(.f64 (.f64 x x) (/.f64 (.f64 y (neg.f64 y)) (.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 x (neg.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (.f64 x (*.f64 y y))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 (.f64 x (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (.f64 y (neg.f64 y))) (/.f64 x (.f64 x y)))
(*.f64 (neg.f64 y) x)
(.f64 (/.f64 x y) (.f64 y (neg.f64 y)))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y y))
(.f64 (.f64 y (neg.f64 y)) (/.f64 x y))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (neg.f64 y))))
(.f64 (.f64 y y) (/.f64 x (neg.f64 y)))
(.f64 (.f64 y y) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (neg.f64 (.f64 x (.f64 x (*.f64 y y)))))
(.f64 (.f64 x (.f64 x (neg.f64 y))) (/.f64 y (.f64 x y)))
(.f64 (.f64 x (*.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x (.f64 x y)) (.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (*.f64 y y)))
(.f64 (neg.f64 (/.f64 x (neg.f64 y))) (.f64 y (neg.f64 y)))
(.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (.f64 x (*.f64 y (neg.f64 y))))
(.f64 (/.f64 (.f64 x (.f64 x (neg.f64 y))) (.f64 x x)) x)
(.f64 (/.f64 (.f64 x (.f64 x (neg.f64 y))) (.f64 x (.f64 x x))) (.f64 x x))

simplify34.0ms (0.9%)

Memory

20.2MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Rules

250×	`lower-*.f64`
250×	`lower-fma.f64`
250×	`lower-fma.f32`
250×	`lower-*.f32`
124×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	960
1	46	960
2	95	960
3	189	960
4	244	960
5	276	960
6	297	960
7	403	960
8	428	960
0	428	960

Stop Event

1×	iter limit
1×	saturated

Counts

216 → 196

Calls

Call 1

Inputs
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
y
y
y
y
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
x
x
x
x
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)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (pow x 3))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
(* 27 (* (pow x 3) y))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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))

Outputs
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)
y
y
y
y
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
x
x
x
x
x
x
x
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* -1 (* (pow x 2) (pow y 2)))
(neg.f64 (.f64 y (.f64 y (*.f64 x x))))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* (pow x 2) (pow y 2))
(.f64 y (.f64 y (*.f64 x x)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 y (.f64 x #s(literal 27 binary64)))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (pow x 3))
(.f64 #s(literal 27 binary64) (.f64 x (*.f64 x x)))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
(* 27 (* (pow x 3) y))
(.f64 #s(literal 27 binary64) (.f64 x (.f64 y (.f64 x x))))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))
(* -1 (* x y))
(neg.f64 (*.f64 x y))

eval202.0ms (5%)

Memory: -19.0MiB live, 215.3MiB allocated
Compiler: Compiled 22 439 to 2 579 computations (88.5% saved)

prune122.0ms (3%)

Memory

15.7MiB live, 251.9MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 358	3	1 361
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	1 360	10	1 370

Accuracy

100.0%

Counts

1 370 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
▶	62.9%	(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
▶	52.8%	(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
✓	99.1%	(.f64 (.f64 #s(literal 27 binary64) y) x)
✓	13.4%	(*.f64 (neg.f64 x) y)
✓	6.3%	(*.f64 #s(literal 27 binary64) y)
✓	6.0%	(*.f64 #s(literal 27 binary64) x)
✓	3.0%	(neg.f64 x)

Compiler

Compiled 78 to 52 computations (33.3% saved)

simplify285.0ms (7.1%)

Memory

-11.8MiB live, 352.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 27 binary64) (.f64 x x))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	1024	(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 27 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	1024	(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x y))
✓	cost-diff	0	(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
✓	cost-diff	320	(/.f64 y (*.f64 x y))
✓	cost-diff	1344	(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))

Rules

8 648×	`lower-*.f32`
8 628×	`lower-*.f64`
3 382×	`lower-/.f32`
3 376×	`lower-/.f64`
3 152×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	86
0	29	102
1	57	102
2	167	84
3	494	60
4	961	60
5	2840	60
6	3270	60
7	3692	60
8	4622	60
9	5349	60
10	5821	60
11	6161	60
12	6591	60
13	6902	60
14	7051	60
0	8181	60

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))
(.f64 x (.f64 x y))
x
(*.f64 x y)
y
(/.f64 y (*.f64 x y))
#s(literal 27 binary64)
(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
(/.f64 x y)
x
y
(.f64 (.f64 y y) #s(literal 27 binary64))
(*.f64 y y)
#s(literal 27 binary64)
(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
(/.f64 y x)
y
x
(.f64 #s(literal 27 binary64) (.f64 x x))
#s(literal 27 binary64)
(*.f64 x x)

Outputs
(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
(.f64 x (.f64 y #s(literal 27 binary64)))
(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))
(*.f64 x y)
(.f64 x (.f64 x y))
x
(*.f64 x y)
y
(/.f64 y (*.f64 x y))
(/.f64 #s(literal 1 binary64) x)
#s(literal 27 binary64)
(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
(.f64 x (.f64 y #s(literal 27 binary64)))
(/.f64 x y)
x
y
(.f64 (.f64 y y) #s(literal 27 binary64))
(.f64 y (.f64 y #s(literal 27 binary64)))
(*.f64 y y)
#s(literal 27 binary64)
(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
(.f64 x (.f64 y #s(literal 27 binary64)))
(/.f64 y x)
y
x
(.f64 #s(literal 27 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 27 binary64)))
#s(literal 27 binary64)
(*.f64 x x)

localize53.0ms (1.3%)

Memory

9.4MiB live, 127.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	61.0%	(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
✓	accuracy	25.8%	(/.f64 y x)
✓	accuracy	16.1%	(*.f64 x x)
✓	accuracy	4.2%	(.f64 #s(literal 27 binary64) (.f64 x x))
✓	accuracy	6.4%	(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
✓	accuracy	4.5%	(.f64 (.f64 y y) #s(literal 27 binary64))
✓	accuracy	4.2%	(/.f64 x y)
✓	accuracy	3.2%	(*.f64 y y)
✓	accuracy	6.8%	(.f64 x (.f64 x y))
✓	accuracy	5.8%	(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))
✓	accuracy	5.3%	(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
✓	accuracy	3.9%	(/.f64 y (*.f64 x y))

Samples

35.0ms

256×

valid

Compiler

Compiled 176 to 34 computations (80.7% saved)

Precisions

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

ival-mult: 16.0ms (75.1% of total)

ival-div: 5.0ms (23.5% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.5%)

Memory

4.2MiB live, 42.8MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))>
#<alt (/.f64 y (*.f64 x y))>
#<alt (.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))>
#<alt (.f64 x (.f64 x y))>
#<alt (.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))>
#<alt (/.f64 x y)>
#<alt (.f64 (.f64 y y) #s(literal 27 binary64))>
#<alt (*.f64 y y)>
#<alt (.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))>
#<alt (/.f64 y x)>
#<alt (.f64 #s(literal 27 binary64) (.f64 x x))>
#<alt (*.f64 x x)>

Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 3) y)>
#<alt (* (pow x 3) y)>
#<alt (* (pow x 3) y)>
#<alt (* (pow x 3) y)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 x)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* 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 (* 27 (pow y 2))>
#<alt (* 27 (pow y 2))>
#<alt (* 27 (pow y 2))>
#<alt (* 27 (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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 y)>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (* 27 (* x y))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 27 (pow x 2))>
#<alt (* 27 (pow x 2))>
#<alt (* 27 (pow x 2))>
#<alt (* 27 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* (/ x y) (* (* y y) 27))
1.0ms	y	@	-inf	(* x (* x y))
0.0ms	x	@	-inf	(* (/ y x) (* 27 (* x x)))
0.0ms	y	@	-inf	(/ y x)
0.0ms	x	@	-inf	(/ x y)

Compiler

Compiled 372 to 270 computations (27.4% saved)

rewrite486.0ms (12.1%)

Memory

19.8MiB live, 175.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 970×	`lower-*.f32`
2 950×	`lower-*.f64`
2 216×	`lower-/.f32`
2 210×	`lower-/.f64`
1 072×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	74
0	29	82
1	77	82
2	366	64
3	2421	48
0	8073	48

Stop Event

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

Counts

12 → 1 018

Calls

Call 1

Inputs
(.f64 (.f64 x (.f64 x y)) (/.f64 y (.f64 x y)))
(/.f64 y (*.f64 x y))
(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
(.f64 x (.f64 x y))
(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
(/.f64 x y)
(.f64 (.f64 y y) #s(literal 27 binary64))
(*.f64 y y)
(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
(/.f64 y x)
(.f64 #s(literal 27 binary64) (.f64 x x))
(*.f64 x x)

Outputs
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x y))
(+.f64 (.f64 (neg.f64 x) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 x y))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (/.f64 y x))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (.f64 x y)) (.f64 #s(literal -1 binary64) (log.f64 (*.f64 x y)))))
(exp.f64 (neg.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y)))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 x y))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 x y))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 y y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 y (.f64 x (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (.f64 x y)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (*.f64 x y))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 (/.f64 y (neg.f64 x)) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (*.f64 y (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y (.f64 x (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x x) y) (/.f64 (.f64 y y) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 x x) y) (.f64 y (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) y) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 y (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 x (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (/.f64 y x)) (/.f64 (.f64 x x) y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 y (*.f64 x (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (.f64 y y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) #s(literal 0 binary64))
(fma.f64 (.f64 y (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (.f64 y (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) x) (.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (.f64 x (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (.f64 x y)) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (.f64 x y)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 y)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 y (.f64 x (*.f64 x y)))))
(neg.f64 (.f64 (/.f64 y x) (.f64 x (neg.f64 x))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x (neg.f64 y)))))
(neg.f64 (.f64 (.f64 x (neg.f64 x)) (/.f64 y x)))
(neg.f64 (.f64 (.f64 x (*.f64 x (neg.f64 y))) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 x y)))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal -1 binary64)) (*.f64 x (neg.f64 y))))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (.f64 x (.f64 x y)) x)
(/.f64 (*.f64 y y) (/.f64 y x))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 x y))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (.f64 y (*.f64 x (neg.f64 y))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (neg.f64 y)) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 (.f64 x (.f64 y (*.f64 x (neg.f64 y)))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))))
(/.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 x y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) (.f64 x (neg.f64 y)))
(/.f64 (.f64 x (.f64 y y)) y)
(/.f64 (.f64 y (.f64 x (neg.f64 y))) (neg.f64 y))
(/.f64 (.f64 x (.f64 x (neg.f64 y))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (.f64 x (.f64 y (.f64 x (neg.f64 y)))))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (.f64 (.f64 y (*.f64 x (neg.f64 y))) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal -1 binary64)) (*.f64 x y))
(/.f64 (neg.f64 (.f64 (.f64 y (*.f64 x (neg.f64 y))) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y)))))) (.f64 y (.f64 x (.f64 x y))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 y (.f64 x (.f64 x y))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 x (.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 y y)) (.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))))))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x y) (.f64 y y))
(.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 y y) (/.f64 x y))
(.f64 (/.f64 y x) (.f64 x x))
(.f64 (.f64 x x) (/.f64 y x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 x (neg.f64 y)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 y (.f64 x (*.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x (*.f64 x y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 x y)))
(.f64 (.f64 y (.f64 x (.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 y)))
(.f64 (/.f64 y (neg.f64 x)) (.f64 x (neg.f64 x)))
(.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (/.f64 x (neg.f64 y)) (.f64 y (neg.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (.f64 x (.f64 y (*.f64 x (neg.f64 y)))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 y (*.f64 x (neg.f64 y))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (*.f64 x (neg.f64 y))))
(.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 y (*.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (*.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (*.f64 y y) x))
(.f64 (/.f64 (.f64 x x) y) (*.f64 y (/.f64 y x)))
(.f64 (/.f64 (.f64 y y) x) (/.f64 (*.f64 x x) y))
(.f64 (.f64 x (neg.f64 x)) (/.f64 y (neg.f64 x)))
(.f64 (.f64 y (neg.f64 y)) (/.f64 x (neg.f64 y)))
(.f64 (.f64 y (/.f64 y x)) (/.f64 (*.f64 x x) y))
(.f64 (.f64 (.f64 y (.f64 x (neg.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 x (.f64 y (.f64 x (neg.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) y))
(.f64 (.f64 y (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 y (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) x))
(.f64 (.f64 x (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (.f64 x y)) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (*.f64 x y)))
(.f64 (.f64 (.f64 x y) (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (.f64 (.f64 x y) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y)))))
(exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 y) (log.f64 (/.f64 y x))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 x y)) (log.f64 y)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (-.f64 (log.f64 (/.f64 y x)) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)) (log.f64 (/.f64 x y))))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 y))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (neg.f64 x) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x y))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 x (*.f64 x x))
(/.f64 y (*.f64 x y))
(/.f64 (.f64 x y) (.f64 x (*.f64 x y)))
(/.f64 (/.f64 y x) y)
(/.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 y) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 x (neg.f64 y)) (.f64 x (*.f64 x (neg.f64 y))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 y (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
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(.f64 (.f64 x (*.f64 y y)) (/.f64 #s(literal 27 binary64) y))
(.f64 (/.f64 #s(literal 27 binary64) (.f64 x y)) (.f64 y (.f64 x (*.f64 x y))))
(.f64 (.f64 x (.f64 x (.f64 #s(literal 27 binary64) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 (.f64 y (*.f64 x (neg.f64 y))) (/.f64 #s(literal -27 binary64) y))
(.f64 (.f64 y #s(literal -27 binary64)) (neg.f64 x))
(.f64 #s(literal -27 binary64) (.f64 x (neg.f64 y)))
(.f64 (.f64 (.f64 y (.f64 x (.f64 x y))) #s(literal -27 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 (.f64 x (*.f64 x (neg.f64 y))) (/.f64 #s(literal -27 binary64) x))
(.f64 (.f64 x (*.f64 x #s(literal -27 binary64))) (/.f64 y (neg.f64 x)))
(.f64 (.f64 y (*.f64 y #s(literal -27 binary64))) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 #s(literal 27 binary64) y) (.f64 x (*.f64 y y)))
(.f64 (/.f64 #s(literal 27 binary64) x) (.f64 x (*.f64 x y)))
(.f64 (/.f64 #s(literal -27 binary64) y) (.f64 y (*.f64 x (neg.f64 y))))
(.f64 (/.f64 #s(literal -27 binary64) x) (.f64 x (*.f64 x (neg.f64 y))))
(.f64 (.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal -1 binary64))
(.f64 (.f64 x #s(literal -27 binary64)) (neg.f64 y))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x y)) #s(literal 27 binary64)) (*.f64 x y)) y)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x (*.f64 x y)) #s(literal 27 binary64))) (/.f64 y x))
(.f64 (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x y)) #s(literal 27 binary64)) (*.f64 x y))) (neg.f64 y))
(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 #s(literal 27 binary64) (*.f64 x y))) y)
(.f64 (.f64 (.f64 x (.f64 x y)) (*.f64 #s(literal 27 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (/.f64 y x) (.f64 (.f64 x (*.f64 x y)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 (.f64 x (*.f64 x y)) #s(literal 27 binary64)) (/.f64 y (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 27 binary64) (*.f64 y y)))) x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 27 binary64) (*.f64 y y)))) y) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (.f64 x (.f64 y (*.f64 y #s(literal -27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (.f64 x (.f64 x (*.f64 y #s(literal -27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal 1/27 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/27 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (.f64 #s(literal -1 binary64) (log.f64 (.f64 x y)))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 y)))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 #s(literal -1 binary64) (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 y (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 y (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 y x)
(/.f64 (.f64 x y) (.f64 x x))
(/.f64 (.f64 y y) (.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 y (/.f64 y (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 y (neg.f64 y)) (.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (/.f64 y x)) y)
(/.f64 (*.f64 y (/.f64 y (neg.f64 x))) (neg.f64 y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x y)) x) (.f64 (neg.f64 x) (/.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 x (neg.f64 y))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (/.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 y (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (.f64 y (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 y (/.f64 y x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (.f64 y (/.f64 y (neg.f64 x))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y (pow.f64 (.f64 x y) #s(literal -1/2 binary64))) (.f64 y (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)))
(neg.f64 (.f64 x (.f64 x #s(literal -27 binary64))))
(/.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (.f64 x x))))
(/.f64 (*.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal -27 binary64))) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 27 binary64)))
(.f64 #s(literal 27 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 27 binary64))
(.f64 (.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (*.f64 x x)))
(.f64 (.f64 x #s(literal 27 binary64)) x)
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y (/.f64 (*.f64 x x) y) #s(literal 0 binary64))
(fma.f64 y (pow.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (.f64 y y) (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (.f64 x y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 x (*.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 x (.f64 x y))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) y #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 y (.f64 x (*.f64 x y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) (.f64 y y) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 x (.f64 x y))) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (.f64 y (.f64 x (.f64 x y))) #s(literal 0 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (*.f64 x y))))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x y) (/.f64 y x))
(/.f64 (.f64 x (.f64 x y)) y)
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (neg.f64 y))) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (-.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 y (/.f64 (.f64 x x) y))
(.f64 y (pow.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64)))
(.f64 (.f64 x y) (/.f64 x y))
(.f64 (.f64 x (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (*.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 x y) (.f64 x y))
(.f64 (.f64 y y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(.f64 (.f64 y y) (*.f64 (/.f64 x y) (/.f64 x y)))
(.f64 (.f64 y y) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (*.f64 x y)))
(.f64 (.f64 y (.f64 x (.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(.f64 (.f64 y (.f64 x (.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 y (.f64 x (.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(.f64 (.f64 x (*.f64 x (neg.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 x x) y) y)
(.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (.f64 y y))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 y (.f64 x (.f64 x y))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 2 binary64)) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (neg.f64 y) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 x (neg.f64 y)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 x y) (/.f64 x y)) (*.f64 y y))
(.f64 (.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) (*.f64 y y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (.f64 y (.f64 x (*.f64 x y))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (.f64 y (.f64 x (*.f64 x y))))

simplify62.0ms (1.6%)

Memory

-20.6MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`lower-*.f64`
68×	`lower-*.f32`
16×	`*-commutative`
14×	`associate-r`
14×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	832
1	35	832
2	49	832
0	49	832

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 224

Calls

Call 1

Inputs
(* x y)
(* x y)
(* x y)
(* x y)
x
x
x
x
x
x
x
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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 x)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* 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)
(* 27 (pow y 2))
(* 27 (pow y 2))
(* 27 (pow y 2))
(* 27 (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)
y
y
y
y
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 y)
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(* 27 (* x y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 27 (pow x 2))
(* 27 (pow x 2))
(* 27 (pow x 2))
(* 27 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
x
x
x
x
x
x
x
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 3) y)
(.f64 x (.f64 x (*.f64 x y)))
(* (pow x 3) y)
(.f64 x (.f64 x (*.f64 x y)))
(* (pow x 3) y)
(.f64 x (.f64 x (*.f64 x y)))
(* (pow x 3) y)
(.f64 x (.f64 x (*.f64 x y)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 27 (pow y 2))
(.f64 y (.f64 y #s(literal 27 binary64)))
(* 27 (pow y 2))
(.f64 y (.f64 y #s(literal 27 binary64)))
(* 27 (pow y 2))
(.f64 y (.f64 y #s(literal 27 binary64)))
(* 27 (pow y 2))
(.f64 y (.f64 y #s(literal 27 binary64)))
(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)
y
y
y
y
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 y)
(*.f64 y #s(literal 27 binary64))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(* 27 (* x y))
(.f64 x (.f64 y #s(literal 27 binary64)))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 27 (pow x 2))
(.f64 x (.f64 x #s(literal 27 binary64)))
(* 27 (pow x 2))
(.f64 x (.f64 x #s(literal 27 binary64)))
(* 27 (pow x 2))
(.f64 x (.f64 x #s(literal 27 binary64)))
(* 27 (pow x 2))
(.f64 x (.f64 x #s(literal 27 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval845.0ms (21.1%)

Memory: -15.1MiB live, 176.8MiB allocated
Compiler: Compiled 14 901 to 1 894 computations (87.3% saved)

prune139.0ms (3.5%)

Memory

28.7MiB live, 228.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 241	1	1 242
Fresh	0	0	0
Picked	1	2	3
Done	0	7	7
Total	1 242	10	1 252

Accuracy

100.0%

Counts

1 252 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 27 binary64))
✓	60.3%	(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
✓	62.9%	(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
✓	99.7%	(.f64 (.f64 x y) #s(literal 27 binary64))
✓	99.7%	(.f64 (.f64 x #s(literal 27 binary64)) y)
✓	99.1%	(.f64 (.f64 #s(literal 27 binary64) y) x)
✓	13.4%	(*.f64 (neg.f64 x) y)
✓	6.3%	(*.f64 #s(literal 27 binary64) y)
✓	6.0%	(*.f64 #s(literal 27 binary64) x)
✓	3.0%	(neg.f64 x)

Compiler

Compiled 167 to 87 computations (47.9% saved)

regimes20.0ms (0.5%)

Memory

9.5MiB live, 47.9MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) x)
(*.f64 #s(literal 27 binary64) y)
(*.f64 (neg.f64 x) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 x y) #s(literal 27 binary64))
(.f64 (/.f64 x y) (.f64 (*.f64 y y) #s(literal 27 binary64)))
(.f64 (/.f64 y x) (.f64 #s(literal 27 binary64) (*.f64 x x)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) #s(literal 27 binary64))
(.f64 (.f64 (.f64 x (.f64 x y)) (/.f64 y (*.f64 x y))) #s(literal 27 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 27 binary64) y)) (*.f64 x x))
(.f64 (/.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (*.f64 (neg.f64 x) y)) #s(literal 27 binary64))

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)

Calls

4 calls:

6.0ms	(*.f64 x #s(literal 27 binary64))
4.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
99.7%	1	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.3%)

Memory

-14.6MiB live, 25.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) x)
(*.f64 #s(literal 27 binary64) y)
(*.f64 (neg.f64 x) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)

Outputs
(.f64 (.f64 #s(literal 27 binary64) y) x)

Calls

4 calls:

5.0ms	(*.f64 x #s(literal 27 binary64))
2.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`y`
99.1%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
99.1%	1	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.3%)

Memory

-9.9MiB live, 29.2MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) x)
(*.f64 #s(literal 27 binary64) y)
(*.f64 (neg.f64 x) y)

Outputs
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal 27 binary64) y)

Calls

4 calls:

3.0ms	y
2.0ms	x
2.0ms	(*.f64 x #s(literal 27 binary64))
2.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)

Results

Accuracy	Segments	Branch
17.3%	2	`x`
17.6%	2	`y`
17.7%	2	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
17.3%	2	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) x)
(*.f64 #s(literal 27 binary64) y)

Outputs
(*.f64 #s(literal 27 binary64) y)

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x #s(literal 27 binary64))
2.0ms	y
2.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)

Results

Accuracy	Segments	Branch
6.3%	1	`x`
6.3%	1	`(*.f64 x #s(literal 27 binary64))`
6.3%	1	`y`
6.3%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

-18.1MiB live, 21.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 #s(literal 27 binary64) x)

Outputs
(*.f64 #s(literal 27 binary64) x)

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 x #s(literal 27 binary64))
1.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)

Results

Accuracy	Segments	Branch
6.0%	1	`x`
6.0%	1	`(*.f64 x #s(literal 27 binary64))`
6.0%	1	`y`
6.0%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

4 calls:

1.0ms	y
1.0ms	(*.f64 x #s(literal 27 binary64))
1.0ms	(.f64 (.f64 x #s(literal 27 binary64)) y)
1.0ms	x

Results

Accuracy	Segments	Branch
3.0%	1	`(.f64 (.f64 x #s(literal 27 binary64)) y)`
3.0%	1	`y`
3.0%	1	`x`
3.0%	1	`(*.f64 x #s(literal 27 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0021918612368896e-223	1.298426276873341e-214

Compiler

Compiled 10 to 10 computations (0% saved)

simplify7.0ms (0.2%)

Memory

-20.4MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	23	33
2	31	33
3	38	33
4	41	33
5	42	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)
(if (<=.f64 (.f64 (.f64 x #s(literal 27 binary64)) y) #s(literal 2604693137843693/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 (neg.f64 x) y) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
(*.f64 #s(literal 27 binary64) x)
(neg.f64 x)

Outputs
(.f64 (.f64 x #s(literal 27 binary64)) y)
(.f64 (.f64 #s(literal 27 binary64) y) x)
(.f64 x (.f64 #s(literal 27 binary64) y))
(if (<=.f64 (.f64 (.f64 x #s(literal 27 binary64)) y) #s(literal 2604693137843693/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 (neg.f64 x) y) (.f64 #s(literal 27 binary64) y))
(if (<=.f64 (.f64 (.f64 x #s(literal 27 binary64)) y) #s(literal 2604693137843693/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (.f64 x (neg.f64 y)) (.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
(*.f64 #s(literal 27 binary64) x)
(*.f64 x #s(literal 27 binary64))
(neg.f64 x)

soundness26.0ms (0.6%)

Memory

11.2MiB live, 52.0MiB allocated

Rules

44×	`lower-*.f64`
44×	`lower-fma.f64`
44×	`lower-fma.f32`
44×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8
0	8	128
1	14	128
2	22	128
3	24	128
4	26	128
5	28	128
6	32	128
7	48	128
8	55	128
0	55	128

Stop Event

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

Compiler

Compiled 86 to 51 computations (40.7% saved)

preprocess242.0ms (6%)

Memory: -21.3MiB live, 442.9MiB allocated
Compiler: Compiled 252 to 156 computations (38.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	35
0	17	35
1	30	35
2	41	35
3	52	35
4	58	35
5	69	35
6	93	35
7	101	35
8	112	35
9	113	35
0	113	35

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416

Iter	Nodes	Cost
0	21	960
1	46	960
2	95	960
3	189	960
4	244	960
5	276	960
6	297	960
7	403	960
8	428	960
0	428	960

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8
0	8	128
1	14	128
2	22	128
3	24	128
4	26	128
5	28	128
6	32	128
7	48	128
8	55	128
0	55	128

Iter	Nodes	Cost
0	10	35
0	17	35
1	30	35
2	41	35
3	52	35
4	58	35
5	69	35
6	93	35
7	101	35
8	112	35
9	113	35
0	113	35

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416

Iter	Nodes	Cost
0	21	960
1	46	960
2	95	960
3	189	960
4	244	960
5	276	960
6	297	960
7	403	960
8	428	960
0	428	960

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8
0	8	128
1	14	128
2	22	128
3	24	128
4	26	128
5	28	128
6	32	128
7	48	128
8	55	128
0	55	128

analyze0.0ms (0%)

sample502.0ms (12.5%)

preprocess26.0ms (0.6%)

explain46.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize20.0ms (0.5%)

series69.0ms (1.7%)

rewrite18.0ms (0.5%)

simplify32.0ms (0.8%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

simplify9.0ms (0.2%)

localize33.0ms (0.8%)

series15.0ms (0.4%)

rewrite77.0ms (1.9%)

simplify12.0ms (0.3%)

eval40.0ms (1%)

prune35.0ms (0.9%)

simplify153.0ms (3.8%)

localize72.0ms (1.8%)

series20.0ms (0.5%)

rewrite226.0ms (5.6%)

simplify34.0ms (0.9%)

eval202.0ms (5%)

prune122.0ms (3%)

simplify285.0ms (7.1%)

localize53.0ms (1.3%)

series21.0ms (0.5%)

rewrite486.0ms (12.1%)

simplify62.0ms (1.6%)

eval845.0ms (21.1%)

prune139.0ms (3.5%)

regimes20.0ms (0.5%)

regimes13.0ms (0.3%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness26.0ms (0.6%)

preprocess242.0ms (6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	35
0	17	35
1	30	35
2	41	35
3	52	35
4	58	35
5	69	35
6	93	35
7	101	35
8	112	35
9	113	35
0	113	35

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416

Iter	Nodes	Cost
0	21	960
1	46	960
2	95	960
3	189	960
4	244	960
5	276	960
6	297	960
7	403	960
8	428	960
0	428	960

Iter	Nodes	Cost
0	11	416
1	23	416
2	33	416
3	36	416
4	48	416
5	58	416
6	68	416
7	98	416
8	102	416
0	102	416
0	5	8
0	7	8
1	11	8
2	18	8
3	20	8
0	20	8
0	8	128
1	14	128
2	22	128
3	24	128
4	26	128
5	28	128
6	32	128
7	48	128
8	55	128
0	55	128