Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, B

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 11 to 9 computations (18.2% saved)

sample1.0s (28.4%)

Memory

17.9MiB live, 913.6MiB allocated

Samples

754.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

ival-mult: 392.0ms (88.7% of total)

ival-add: 38.0ms (8.6% of total)

ival-true: 6.0ms (1.4% of total)

...in/eval/compile.rkt:104:19: 3.0ms (0.7% of total)

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

Bogosity

preprocess148.0ms (4.1%)

Memory

-13.4MiB live, 101.2MiB allocated

Algorithm

1×	egg-herbie

Rules

829×	`fma-define`
553×	`fmm-def`
126×	`unsub-neg`
116×	`distribute-lft-neg-in`
103×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	785	196
4	1512	196
5	2584	196
6	2978	196
7	3096	196
8	3128	196
9	3138	196
10	3139	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x (neg.f64 y)))))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 y y) (*.f64 y x)))

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

explain205.0ms (5.7%)

Memory

-5.9MiB live, 140.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(+.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 x y))`	nan-rescue	7	0
↳	`(*.f64 x x)`	overflow	64
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 76 to 32 computations (57.9% saved)

Precisions

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

ival-mult: 10.0ms (73.6% of total)

ival-add: 2.0ms (14.7% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	97.3%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify77.0ms (2.2%)

Memory

-28.1MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 x y))
✓	cost-diff	128	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Rules

17×	`fma-define`
9×	`*-commutative`
7×	`associate-r`
6×	`distribute-rgt-in`
6×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	145
1	32	145
2	56	145
3	71	145
4	75	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
#s(literal 2 binary64)
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x x)
x
(*.f64 x y)
y
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize33.0ms (0.9%)

Memory

20.3MiB live, 62.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
✓	accuracy	97.7%	(+.f64 (.f64 x x) (.f64 x y))

Samples

19.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

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

ival-mult: 8.0ms (72.5% of total)

ival-add: 2.0ms (18.1% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Memory

-12.9MiB live, 25.5MiB allocated

Counts

7 → 102

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))>
#<alt (+.f64 (.f64 x x) (.f64 x y))>
#<alt (*.f64 x x)>
#<alt (*.f64 x y)>
#<alt (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 x y)>
#<alt (*.f64 #s(literal 2 binary64) x)>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (*.f64 x (+.f64 x y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x y)
1.0ms	x	@	inf	(* 2 (+ (* x x) (* x y)))
1.0ms	x	@	0	(* 2 (+ (* x x) (* x y)))
1.0ms	x	@	0	(* x y)
1.0ms	x	@	-inf	(* 2 (+ (* x x) (* x y)))

rewrite550.0ms (15.4%)

Memory

31.5MiB live, 345.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 032×	`log1p-expm1-u`
1 032×	`expm1-log1p-u`
573×	`fma-define`
236×	`fmm-def`
168×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	216	124
2	3157	124

Stop Event

1×	node limit

Counts

7 → 244

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
(+.f64 (.f64 x x) (.f64 x y))
(*.f64 x x)
(*.f64 x y)
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(+.f64 x y)
(*.f64 #s(literal 2 binary64) x)

Outputs
(+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
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(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))

simplify642.0ms (18%)

Memory

-28.7MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Rules

486×	`distribute-lft-in`
475×	`distribute-rgt-in`
368×	`cancel-sign-sub-inv`
279×	`distribute-lft-neg-in`
272×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	10381
1	1004	10139
2	3016	10051

Stop Event

1×	node limit

Counts

346 → 251

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
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(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 x y)))
(pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(exp.f64 (log.f64 (.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 x (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 x y) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x y))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (+.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 y (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x y)
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(*.f64 x (+.f64 x y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(*.f64 y (+.f64 x (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x y))
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(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 (+.f64 x y) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(+.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(+.f64 x y)
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(+.f64 x y)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 x y)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 x y)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x y)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 x y)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(+.f64 x y)
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 x y)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 x y)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(+.f64 (+.f64 x y) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 x y)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 x y)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 x y)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 x y)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 x y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) y)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)

eval120.0ms (3.4%)

Memory: 24.2MiB live, 64.3MiB allocated
Compiler: Compiled 3 323 to 689 computations (79.3% saved)

prune33.0ms (0.9%)

Memory

-26.1MiB live, 91.8MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	249	2	251
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	249	4	253

Accuracy

100.0%

Counts

253 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
▶	57.4%	(.f64 (.f64 #s(literal 2 binary64) x) y)
▶	60.4%	(.f64 x (.f64 #s(literal 2 binary64) x))
✓	97.3%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify7.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
	cost-diff	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	(.f64 (.f64 #s(literal 2 binary64) x) y)
	cost-diff	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	(.f64 x (.f64 #s(literal 2 binary64) x))

Rules

6×	`*-commutative`
5×	`associate-r`
4×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	17	72
2	27	72
3	29	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y

Outputs
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
y

localize23.0ms (0.6%)

Memory

7.0MiB live, 49.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 2 binary64) x) y)
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 2 binary64) x))
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions

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

ival-mult: 5.0ms (88.6% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-28.8MiB live, 9.8MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (.f64 x (.f64 #s(literal 2 binary64) x))>
#<alt (.f64 (.f64 #s(literal 2 binary64) x) y)>

Outputs
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x y))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* 2 x) y)
1.0ms	y	@	-inf	(* (* 2 x) y)
0.0ms	x	@	0	(* (* 2 x) y)
0.0ms	x	@	0	(* x (* 2 x))
0.0ms	x	@	inf	(* x (* 2 x))

rewrite72.0ms (2%)

Memory

21.3MiB live, 60.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

527×	`unpow-prod-down`
455×	`log1p-expm1-u`
455×	`expm1-log1p-u`
433×	`add-exp-log`
417×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	109	35
2	1269	35

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))

simplify100.0ms (2.8%)

Memory

-18.4MiB live, 100.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 134×	`fma-define`
528×	`fmm-def`
348×	`associate-+r+`
322×	`*-commutative`
303×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1750
1	214	1750
2	455	1744
3	1632	1738
4	3495	1738
5	5754	1738

Stop Event

1×	node limit

Counts

78 → 55

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 #s(literal 2 binary64) y)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (cbrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(pow.f64 (E.f64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(pow.f64 (E.f64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x y)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(cbrt.f64 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(expm1.f64 (log1p.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (log.f64 (.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (.f64 x y))

eval10.0ms (0.3%)

Memory: 27.7MiB live, 27.7MiB allocated
Compiler: Compiled 766 to 204 computations (73.4% saved)

prune13.0ms (0.4%)

Memory

-1.1MiB live, 37.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	85	4	89

Accuracy

100.0%

Counts

89 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
✓	57.4%	(.f64 (.f64 #s(literal 2 binary64) x) y)
✓	60.4%	(.f64 x (.f64 #s(literal 2 binary64) x))
✓	97.3%	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes10.0ms (0.3%)

Memory

-10.0MiB live, 28.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))

Calls

4 calls:

3.0ms	(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes3.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)

Outputs
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) y)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
84.9%	3	`x`
89.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 #s(literal 2 binary64) x))

Outputs
(.f64 x (.f64 #s(literal 2 binary64) x))

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
60.4%	1	`x`
60.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (1%)

Memory

-14.8MiB live, 65.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.7365344936337796e-23	4.224545473648596e-20
23.0ms	-955678.2615681445	-0.0029096434568968805

Samples

26.0ms

272×

valid

Compiler

Compiled 286 to 216 computations (24.5% saved)

Precisions

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

ival-mult: 18.0ms (90.9% of total)

ival-add: 1.0ms (5.1% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`if-if-or-not`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
1	32	116

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (+.f64 x y) (*.f64 #s(literal 2 binary64) x))

(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) y) (if (<=.f64 y #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))

(*.f64 x (*.f64 #s(literal 2 binary64) x))

Outputs
(.f64 (+.f64 x y) (.f64 #s(literal 2 binary64) x))
(.f64 (+.f64 x y) (.f64 x #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) y) (if (<=.f64 y #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (.f64 x (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(if (or (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (not (<=.f64 y #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)))) (.f64 y (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))
(.f64 x (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 x #s(literal 2 binary64)))

soundness415.0ms (11.6%)

Memory

-16.8MiB live, 259.9MiB allocated

Rules

829×	`fma-define`
553×	`fmm-def`
486×	`distribute-lft-in`
475×	`distribute-rgt-in`
368×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	785	196
4	1512	196
5	2584	196
6	2978	196
7	3096	196
8	3128	196
9	3138	196
10	3139	196
0	428	10381
1	1004	10139
2	3016	10051

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 91 to 38 computations (58.2% saved)

preprocess34.0ms (1%)

Memory: 3.9MiB live, 79.7MiB allocated
Compiler: Compiled 106 to 56 computations (47.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.0s (28.4%)

preprocess148.0ms (4.1%)

explain205.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (2.2%)

localize33.0ms (0.9%)

series15.0ms (0.4%)

rewrite550.0ms (15.4%)

simplify642.0ms (18%)

eval120.0ms (3.4%)

prune33.0ms (0.9%)

simplify7.0ms (0.2%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

rewrite72.0ms (2%)

simplify100.0ms (2.8%)

eval10.0ms (0.3%)

prune13.0ms (0.4%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch37.0ms (1%)

simplify3.0ms (0.1%)

soundness415.0ms (11.6%)

preprocess34.0ms (1%)

end0.0ms (0%)

Profiling