Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

analyze21.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (33%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-div: 132.0ms (52.2% of total)

ival-add: 100.0ms (39.6% of total)

ival-true: 12.0ms (4.7% of total)

ival-assert: 8.0ms (3.2% of total)

Bogosity

preprocess241.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

981×	`fmm-def`
501×	`times-frac`
486×	`div-sub`
474×	`distribute-lft-in`
434×	`distribute-rgt-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	23	220
1	50	196
2	119	196
3	340	184
4	1369	162
5	3013	151
6	4387	151
7	5085	147
8	5555	147
9	5859	147
10	6101	147
11	6573	147
12	6767	147
13	6771	147

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 (+.f64 y x) (+.f64 x x))

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

explain82.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

53.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

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

ival-add: 7.0ms (58.2% of total)

ival-div: 4.0ms (33.3% of total)

ival-true: 1.0ms (8.3% of total)

ival-assert: 1.0ms (8.3% of total)

eval1.0ms (0%)

Compiler: Compiled 29 to 14 computations (51.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	99.9%	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (+.f64 y y))
✓	cost-diff	-6272	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))

Rules

5×	`*-commutative`
4×	`fmm-def`
3×	`1-exp`
3×	`+-commutative`
2×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	119
1	26	119
2	33	119
3	37	119
4	39	119
5	43	119
6	50	119
7	52	119

Stop Event

1×

saturated

Calls

Call 1

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

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

localize139.0ms (3.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))

Results

126.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-div: 4.0ms (35.3% of total)

ival-add: 3.0ms (26.5% of total)

ival-mult: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.8% of total)

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

const: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Counts

6 → 102

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- (* x (/ 1/2 y)) -1/2)
1.0ms	y	@	0	(* x (/ 1/2 y))
1.0ms	x	@	inf	(* x (/ 1/2 y))
1.0ms	x	@	0	(* x (/ 1/2 y))
1.0ms	x	@	inf	(/ (+ x y) (+ y y))

rewrite797.0ms (21.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log1p-expm1-u`
1012×	`expm1-log1p-u`
705×	`prod-diff`
100×	`add-cube-cbrt`
98×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	101
1	215	86
2	3444	86

Stop Event

1×	node limit

Counts

6 → 286

Calls

Call 1

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

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

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

77×	`*-commutative`
31×	`associate-*r/`
23×	`associate-*l/`
19×	`+-commutative`
17×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	5133
1	1352	5133

Stop Event

1×

unsound

Counts

388 → 299

Calls

Call 1

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

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

eval29.0ms (0.8%)

Compiler: Compiled 3395 to 831 computations (75.5% saved)

prune93.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	295	6	301

Accuracy

100.0%

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	46.7%	(/.f64 x (+.f64 y y))
▶	3.5%	(/.f64 #s(literal -2 binary64) y)
✓	99.9%	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
▶	54.2%	#s(literal 1/2 binary64)
▶	2.2%	#s(literal -2 binary64)

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

2×	`associate-/r*`
1×	`*-commutative`
1×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	14	54
2	17	54
3	19	54

Stop Event

1×

saturated

Calls

Call 1

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

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

localize37.0ms (1%)

Localize:

Found 3 expressions of interest:

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

Results

29.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-div: 4.0ms (59.3% of total)

ival-add: 1.0ms (14.8% of total)

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

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ -2 y)
0.0ms	y	@	inf	(/ -2 y)
0.0ms	x	@	inf	(/ x (+ y y))
0.0ms	x	@	0	(/ x (+ y y))
0.0ms	y	@	-inf	(/ x (+ y y))

rewrite71.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log1p-expm1-u`
562×	`expm1-log1p-u`
548×	`unpow-prod-down`
289×	`log-prod`
208×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	127	20
2	1943	20

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`*-commutative`
1×	`associate-/l*`
1×	`associate-*l/`
1×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	540
1	59	540
2	61	540
3	63	540
4	64	540

Stop Event

1×

saturated

Counts

108 → 43

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal -8 binary64)
#s(literal -4 binary64)
#s(literal -3 binary64)
#s(literal -8/3 binary64)
#s(literal -5/2 binary64)
#s(literal -2 binary64)
#s(literal -5/3 binary64)
#s(literal -3/2 binary64)
#s(literal -4/3 binary64)
#s(literal -1 binary64)
#s(literal -2/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1/3 binary64)
#s(literal -1/6 binary64)
#s(literal 0 binary64)
#s(literal 1/9 binary64)
#s(literal 1/8 binary64)
#s(literal 1/6 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 binary64)
#s(literal 5/6 binary64)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
#s(literal 3/2 binary64)
#s(literal 5/3 binary64)
#s(literal 2 binary64)
#s(literal 7/3 binary64)
#s(literal 5/2 binary64)
#s(literal 8/3 binary64)
#s(literal 3 binary64)
#s(literal 10/3 binary64)
#s(literal 7/2 binary64)
#s(literal 4 binary64)
#s(literal 9/2 binary64)
#s(literal 5 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)

eval10.0ms (0.3%)

Compiler: Compiled 539 to 202 computations (62.5% saved)

prune19.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	93	7	100

Accuracy

100.0%

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	46.7%	(/.f64 x (+.f64 y y))
✓	3.5%	(/.f64 #s(literal -2 binary64) y)
✓	99.9%	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
▶	9.3%	#s(literal 64 binary64)
✓	54.2%	#s(literal 1/2 binary64)
▶	2.2%	#s(literal -8 binary64)

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal 64 binary64)

Outputs
#s(literal -8 binary64)
#s(literal 64 binary64)

localize16.0ms (0.4%)

Results

12.0ms

256×

valid

Compiler

Compiled 4 to 6 computations (-50% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	46.7%	(/.f64 x (+.f64 y y))
✓	3.5%	(/.f64 #s(literal -2 binary64) y)
✓	99.9%	(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
✓	9.3%	#s(literal 64 binary64)
✓	54.2%	#s(literal 1/2 binary64)
✓	2.2%	#s(literal -8 binary64)

Compiler

Compiled 67 to 44 computations (34.3% saved)

regimes10.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))

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

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)
(/.f64 x (+.f64 y y))

Outputs
#s(literal 1/2 binary64)
(/.f64 x (+.f64 y y))
#s(literal 1/2 binary64)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
78.1%	3	`x`
78.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(literal 64 binary64)
(/.f64 #s(literal -2 binary64) y)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
54.2%	1	`x`
54.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -8 binary64)
#s(literal -2 binary64)

Outputs
#s(literal -8 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
2.2%	1	`x`
2.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.1568066453287717e-28	2.6612111066418764e-26
11.0ms	-2.3392243028290944e-38	-3.098935514927651e-41

Results

14.0ms

240×

valid

Compiler

Compiled 192 to 145 computations (24.5% saved)

Precisions

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

ival-add: 3.0ms (57.1% of total)

ival-div: 2.0ms (38.1% of total)

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

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative`
2×	`sub-neg`
2×	`*-commutative`
2×	`if-if-or-not`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	106
1	36	106
2	41	106
3	43	106
4	44	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) #s(literal 1/2 binary64) (if (<=.f64 y #s(literal 3902630409742859/348449143727040986586495598010130648530944 binary64)) (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -8 binary64)

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1/2 binary64))
(if (<=.f64 y #s(literal -206886898016895/1532495540865888858358347027150309183618739122183602176 binary64)) #s(literal 1/2 binary64) (if (<=.f64 y #s(literal 3902630409742859/348449143727040986586495598010130648530944 binary64)) (/.f64 x (+.f64 y y)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -8 binary64)

soundness733.0ms (19.4%)

Rules

981×	`fmm-def`
562×	`log1p-expm1-u`
562×	`expm1-log1p-u`
548×	`unpow-prod-down`
501×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	465	5133
1	1352	5133
0	11	20
1	127	20
2	1943	20
0	23	220
1	50	196
2	119	196
3	340	184
4	1369	162
5	3013	151
6	4387	151
7	5085	147
8	5555	147
9	5859	147
10	6101	147
11	6573	147
12	6767	147
13	6771	147

Stop Event

1×	done
1×	saturated
1×	node limit
1×	unsound

Compiler

Compiled 33 to 18 computations (45.5% saved)

preprocess46.0ms (1.2%)

Compiler: Compiled 102 to 58 computations (43.1% saved)

Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

analyze21.0ms (0.6%)

sample1.2s (33%)

preprocess241.0ms (6.4%)

explain82.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize139.0ms (3.7%)

series12.0ms (0.3%)

rewrite797.0ms (21.1%)

simplify61.0ms (1.6%)

eval29.0ms (0.8%)

prune93.0ms (2.5%)

simplify7.0ms (0.2%)

localize37.0ms (1%)

series3.0ms (0.1%)

rewrite71.0ms (1.9%)

simplify15.0ms (0.4%)

eval10.0ms (0.3%)

prune19.0ms (0.5%)

simplify6.0ms (0.2%)

localize16.0ms (0.4%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.3%)

bsearch26.0ms (0.7%)

simplify4.0ms (0.1%)

soundness733.0ms (19.4%)

preprocess46.0ms (1.2%)

end0.0ms (0%)

Profiling