Metrics for (x * .985)

analyze1.0ms (0.1%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample678.0ms (30.4%)

Memory

14.7MiB live, 234.3MiB allocated

Samples

459.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 73.0ms (26.7% of total)

ival-<=: 59.0ms (21.6% of total)

ival-div: 58.0ms (21.2% of total)

ival-sub: 43.0ms (15.7% of total)

exact: 23.0ms (8.4% of total)

ival-and: 14.0ms (5.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess20.0ms (0.9%)

Memory

-14.9MiB live, 4.8MiB allocated

Algorithm

2×	egg-herbie

Rules

30×	`sub-neg`
28×	`distribute-lft-neg-in`
24×	`cancel-sign-sub-inv`
18×	`neg-mul-1`
16×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	25	16
2	50	15
3	95	15
4	150	15
5	178	15
6	192	15
7	198	15
8	203	15
9	205	15
0	8	5
1	12	5
2	13	5
0	13	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))

Outputs

(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))

(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

Call 2

Inputs

(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))

(- (* (neg x) 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))

(neg (- (* (neg x) 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2)))

Outputs
(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)
(- (* (neg x) 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
(+ (* x -8872091265919877/9007199254740992) -3152519739159347/18014398509481984)
(neg (- (* (neg x) 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2)))
(+ (* x 8872091265919877/9007199254740992) 3152519739159347/18014398509481984)

explain69.0ms (3.1%)

Memory

2.7MiB live, 34.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 8872091265919877/9007199254740992 binary64)`
-	-	`(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))`
-	-	`#s(literal 3152519739159347/9007199254740992 binary64)`
-	-	`(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 54 to 32 computations (40.7% saved)

Precisions

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

ival-div: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-sub: 3.0ms (25.6% of total)

exact: 1.0ms (8.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify4.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))

New

Metric

Score

Program

✓

cost-diff

(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))

✓

cost-diff

128

(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

✓

cost-diff

704

(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	13
2	13	13
0	13	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
(* x 8872091265919877/9007199254740992)
x
8872091265919877/9007199254740992
(/ 3152519739159347/9007199254740992 2)
3152519739159347/9007199254740992
2

Outputs
(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
(* x 8872091265919877/9007199254740992)
(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))
x
8872091265919877/9007199254740992
#s(literal 8872091265919877/9007199254740992 binary64)
(/ 3152519739159347/9007199254740992 2)
#s(literal 3152519739159347/18014398509481984 binary64)
3152519739159347/9007199254740992
#s(literal 3152519739159347/9007199254740992 binary64)
2
#s(literal 2 binary64)

localize20.0ms (0.9%)

Memory

0.9MiB live, 8.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

New

Metric

Score

Program

✓

accuracy

100.0%

(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))

✓

accuracy

100.0%

(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))

✓

accuracy

100.0%

(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-div: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-sub: 1.0ms (18.1% of total)

exact: 0.0ms (0% of total)

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

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

series2.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

3 → 24

Calls

Call 1

Inputs
#<alt (/ 3152519739159347/9007199254740992 2)>
#<alt (- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))>
#<alt (* x 8872091265919877/9007199254740992)>

Outputs
#<alt -3152519739159347/18014398509481984>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
0.0ms	x	@	inf	(* x 8872091265919877/9007199254740992)
0.0ms	x	@	-inf	(* x 8872091265919877/9007199254740992)
0.0ms	x	@	0	(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
0.0ms	x	@	0	(* x 8872091265919877/9007199254740992)

rewrite473.0ms (21.2%)

Memory

0.3MiB live, 164.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 662×	`accelerator-lowering-fma.f32`
9 662×	`accelerator-lowering-fma.f64`
4 548×	`/-lowering-/.f32`
4 548×	`/-lowering-/.f64`
4 348×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	27	9
2	152	9
3	1217	9
0	8323	8

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 299

Calls

Call 1

Inputs
(/ 3152519739159347/9007199254740992 2)
(- (* x 8872091265919877/9007199254740992) (/ 3152519739159347/9007199254740992 2))
(* x 8872091265919877/9007199254740992)

Outputs
#s(literal 3152519739159347/18014398509481984 binary64)
(+.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) #s(literal -3152519739159347/18014398509481984 binary64))
(+.f64 #s(literal -3152519739159347/18014398509481984 binary64) (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64)) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (neg.f64 (/.f64 #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64) (fma.f64 x (*.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64))) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal 3152519739159347/18014398509481984 binary64))) (neg.f64 (/.f64 #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal 3152519739159347/18014398509481984 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) #s(literal 3152519739159347/18014398509481984 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64)) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64) (fma.f64 x (*.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64))) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal 3152519739159347/18014398509481984 binary64))) (/.f64 #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal 3152519739159347/18014398509481984 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 340591657586929748852382177128444304636435704530925186904718783163825214911088595863074812323776940361873853320199523644265530247828523363345637/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 487703648029182781029829972552980928221724159423312334738887003091327828535434761749066682631689/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 21880207973372871257315580506286289334254179834230279679931394864376989939130015011433884581759/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64) #s(literal 981627885894761932141083906573070856406836339225272835200277323852774575726383065319990255929/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)))) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 (/.f64 #s(literal 30755325720769337009942731353814959028969013427182731894021567592533574246261398135732172297254737101453122307832064897395684820236438168467/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 487703648029182781029829972552980928221724159423312334738887003091327828535434761749066682631689/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 21880207973372871257315580506286289334254179834230279679931394864376989939130015011433884581759/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64) #s(literal 981627885894761932141083906573070856406836339225272835200277323852774575726383065319990255929/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)))) (fma.f64 x (*.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 487703648029182781029829972552980928221724159423312334738887003091327828535434761749066682631689/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64))) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 (/.f64 #s(literal 981627885894761932141083906573070856406836339225272835200277323852774575726383065319990255929/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64))) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6195894336105846408336513402882538669618282625103016558818326641/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(literal -98771411053205367615598944958022302079763228686742819763355281/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal -78714003430811765618994983695129/81129638414606681695789005144064 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))) (fma.f64 #s(literal -8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 #s(literal -78714003430811765618994983695129/81129638414606681695789005144064 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) (fma.f64 x #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal -78714003430811765618994983695129/81129638414606681695789005144064 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 8872091265919877/9007199254740992 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 8872091265919877/9007199254740992 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 8872091265919877/9007199254740992 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 8872091265919877/9007199254740992 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) #s(literal 1/2 binary64)))

simplify21.0ms (0.9%)

Memory

-0.9MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-3152519739159347/18014398509481984
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(* 8872091265919877/9007199254740992 x)
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* 8872091265919877/9007199254740992 x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)

Outputs
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

eval43.0ms (1.9%)

Memory: 4.3MiB live, 33.9MiB allocated
Compiler: Compiled 12 640 to 887 computations (93% saved)

prune34.0ms (1.5%)

Memory

-7.4MiB live, 38.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	320	3	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	3	324

Accuracy

100.0%

Counts

324 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
▶	3.6%	(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
▶	94.6%	#s(literal -3152519739159347/18014398509481984 binary64)

Status

Accuracy

Program

▶

100.0%

(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

▶

3.6%

(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

▶

94.6%

#s(literal -3152519739159347/18014398509481984 binary64)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify4.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
✓	cost-diff	0	(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	7	14
0	7	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-3152519739159347/18014398509481984
(* 8872091265919877/9007199254740992 x)
8872091265919877/9007199254740992
x
(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)
x
8872091265919877/9007199254740992
-3152519739159347/18014398509481984

Outputs
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
8872091265919877/9007199254740992
#s(literal 8872091265919877/9007199254740992 binary64)
x
(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
x
8872091265919877/9007199254740992
#s(literal 8872091265919877/9007199254740992 binary64)
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)

localize20.0ms (0.9%)

Memory

0.4MiB live, 8.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

Samples

12.0ms

256×

valid

Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions

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

ival-mult: 3.0ms (58.9% of total)

ival-add: 1.0ms (19.6% of total)

exact: 0.0ms (0% of total)

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

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

series0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)>

Outputs
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt -3152519739159347/18014398509481984>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* 8872091265919877/9007199254740992 x)>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 8872091265919877/9007199254740992 x)
0.0ms	x	@	-inf	(* 8872091265919877/9007199254740992 x)
0.0ms	x	@	-inf	(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)
0.0ms	x	@	0	(* 8872091265919877/9007199254740992 x)
0.0ms	x	@	0	(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)

rewrite450.0ms (20.2%)

Memory

2.8MiB live, 147.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`accelerator-lowering-fma.f32`
10 628×	`accelerator-lowering-fma.f64`
4 272×	`/-lowering-/.f32`
4 272×	`/-lowering-/.f64`
4 234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	22	8
2	147	8
3	1223	8
0	8429	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 219

Calls

Call 1

Inputs
(* 8872091265919877/9007199254740992 x)
(+ (* x 8872091265919877/9007199254740992) -3152519739159347/18014398509481984)

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 8872091265919877/9007199254740992 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 8872091265919877/9007199254740992 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 8872091265919877/9007199254740992 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 8872091265919877/9007199254740992 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x) #s(literal -3152519739159347/18014398509481984 binary64))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 6195894336105846408336513402882538669618282625103016558818326641/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(literal -98771411053205367615598944958022302079763228686742819763355281/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64) #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal 698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) (.f64 x (*.f64 x x)) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64) #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -698357822344092298941437547442675672564709179133/730750818665451459101842416358141509827966271488 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64) #s(literal 27969442843435651361902637640319/162259276829213363391578010288128 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 78714003430811765618994983695129/81129638414606681695789005144064 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)))

simplify22.0ms (1%)

Memory

-1.5MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
(* 8872091265919877/9007199254740992 x)
-3152519739159347/18014398509481984
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(* 8872091265919877/9007199254740992 x)
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* 8872091265919877/9007199254740992 x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))

Outputs
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 8872091265919877/9007199254740992 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 8872091265919877/9007199254740992 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 8872091265919877/9007199254740992 x)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 8872091265919877/9007199254740992)))
(fma.f64 #s(literal 8872091265919877/9007199254740992 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))

eval30.0ms (1.3%)

Memory: 1.8MiB live, 24.5MiB allocated
Compiler: Compiled 6 879 to 620 computations (91% saved)

prune25.0ms (1.1%)

Memory

-3.5MiB live, 28.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	243	3	246

Accuracy

100.0%

Counts

246 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

✓

3.6%

(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

✓

94.6%

#s(literal -3152519739159347/18014398509481984 binary64)

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes5.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -3152519739159347/18014398509481984 binary64)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)
(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Outputs
(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

Calls

3 calls:

2.0ms

(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))

2.0ms

1.0ms

(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes6.0ms (0.3%)

Memory

-7.1MiB live, 4.2MiB allocated

Accuracy

Total -59.1b remaining (-1724.7%)

Threshold costs -59.1b (-1724.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -3152519739159347/18014398509481984 binary64)
(*.f64 #s(literal 8872091265919877/9007199254740992 binary64) x)

Outputs
#s(literal -3152519739159347/18014398509481984 binary64)

Calls

3 calls:

3.0ms

(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))

1.0ms

(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`(-.f64 (*.f64 x #s(literal 8872091265919877/9007199254740992 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))`
94.6%	1	`(*.f64 x #s(literal 8872091265919877/9007199254740992 binary64))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify8.0ms (0.4%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
#s(literal -3152519739159347/18014398509481984 binary64)

Outputs
(fma.f64 x #s(literal 8872091265919877/9007199254740992 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
#s(literal -3152519739159347/18014398509481984 binary64)

soundness255.0ms (11.4%)

Memory

-4.8MiB live, 2.9MiB allocated

Rules

9 662×	`accelerator-lowering-fma.f32`
9 662×	`accelerator-lowering-fma.f64`
4 548×	`/-lowering-/.f32`
4 548×	`/-lowering-/.f64`
4 348×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	27	9
2	152	9
3	1217	9
0	8323	8
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess42.0ms (1.9%)

Memory: 0.0MiB live, 23.5MiB allocated
Compiler: Compiled 28 to 22 computations (21.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

(x * .985) - 0.35/2

analyze1.0ms (0.1%)

sample678.0ms (30.4%)

preprocess20.0ms (0.9%)

explain69.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize20.0ms (0.9%)

series2.0ms (0.1%)

rewrite473.0ms (21.2%)

simplify21.0ms (0.9%)

eval43.0ms (1.9%)

prune34.0ms (1.5%)

simplify4.0ms (0.2%)

localize20.0ms (0.9%)

series0.0ms (0%)

rewrite450.0ms (20.2%)

simplify22.0ms (1%)

eval30.0ms (1.3%)

prune25.0ms (1.1%)

regimes5.0ms (0.2%)

regimes6.0ms (0.3%)

simplify8.0ms (0.4%)

soundness255.0ms (11.4%)

preprocess42.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	18
1	25	16
2	50	15
3	95	15
4	150	15
5	178	15
6	192	15
7	198	15
8	203	15
9	205	15
0	8	5
1	12	5
2	13	5
0	13	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	12	18
1	25	16
2	50	15
3	95	15
4	150	15
5	178	15
6	192	15
7	198	15
8	203	15
9	205	15
0	8	5
1	12	5
2	13	5
0	13	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	12	18
1	25	16
2	50	15
3	95	15
4	150	15
5	178	15
6	192	15
7	198	15
8	203	15
9	205	15
0	8	5
1	12	5
2	13	5
0	13	4

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79