Metrics for (x * 0.97)

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%	25.2%	74.8%	0%	0%	0%	0
100%	25.2%	0%	74.8%	0%	0%	0%	1

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample676.0ms (30.3%)

Memory

18.5MiB live, 234.5MiB allocated

Samples

458.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

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

ival-div: 57.0ms (20.9% of total)

ival-<=: 57.0ms (20.9% of total)

ival-sub: 45.0ms (16.5% 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

preprocess17.0ms (0.8%)

Memory

-2.9MiB 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 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))

Outputs

(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))

(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

Call 2

Inputs

(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))

(- (* (neg x) 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))

(neg (- (* (neg x) 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2)))

Outputs
(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)
(- (* (neg x) 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
(+ (* x -4368491638549381/4503599627370496) -3152519739159347/18014398509481984)
(neg (- (* (neg x) 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2)))
(+ (* x 4368491638549381/4503599627370496) 3152519739159347/18014398509481984)

explain66.0ms (2.9%)

Memory

0.6MiB live, 34.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))`
-	-	`#s(literal 4368491638549381/4503599627370496 binary64)`
-	-	`(/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64))`
-	-	`#s(literal 3152519739159347/9007199254740992 binary64)`
-	-	`(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 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

24.0ms

512×

valid

Compiler

Compiled 54 to 32 computations (40.7% saved)

Precisions

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

ival-mult: 4.0ms (34.3% of total)

ival-div: 3.0ms (25.7% of total)

ival-sub: 2.0ms (17.1% of total)

exact: 1.0ms (8.6% 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 4368491638549381/4503599627370496 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 4368491638549381/4503599627370496 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 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 4368491638549381/4503599627370496 binary64))

✓

cost-diff

128

(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 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 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
(* x 4368491638549381/4503599627370496)
x
4368491638549381/4503599627370496
(/ 3152519739159347/9007199254740992 2)
3152519739159347/9007199254740992
2

Outputs
(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
(* x 4368491638549381/4503599627370496)
(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))
x
4368491638549381/4503599627370496
#s(literal 4368491638549381/4503599627370496 binary64)
(/ 3152519739159347/9007199254740992 2)
#s(literal 3152519739159347/18014398509481984 binary64)
3152519739159347/9007199254740992
#s(literal 3152519739159347/9007199254740992 binary64)
2
#s(literal 2 binary64)

localize22.0ms (1%)

Memory

-4.9MiB live, 8.6MiB 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 4368491638549381/4503599627370496 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 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 4368491638549381/4503599627370496 binary64))

✓

accuracy

100.0%

(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 4.0ms (53.9% of total)

ival-div: 2.0ms (26.9% of total)

ival-sub: 2.0ms (26.9% 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

0.7MiB live, 0.7MiB allocated

Counts

3 → 24

Calls

Call 1

Inputs
#<alt (/ 3152519739159347/9007199254740992 2)>
#<alt (- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))>
#<alt (* x 4368491638549381/4503599627370496)>

Outputs
#<alt -3152519739159347/18014398509481984>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
0.0ms	x	@	-inf	(* x 4368491638549381/4503599627370496)
0.0ms	x	@	inf	(* x 4368491638549381/4503599627370496)
0.0ms	x	@	0	(- (* x 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
0.0ms	x	@	0	(* x 4368491638549381/4503599627370496)

rewrite476.0ms (21.3%)

Memory

1.5MiB live, 163.8MiB 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 4368491638549381/4503599627370496) (/ 3152519739159347/9007199254740992 2))
(* x 4368491638549381/4503599627370496)

Outputs
#s(literal 3152519739159347/18014398509481984 binary64)
(+.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) #s(literal -3152519739159347/18014398509481984 binary64))
(+.f64 #s(literal -3152519739159347/18014398509481984 binary64) (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64)) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (neg.f64 (/.f64 #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64) (fma.f64 x (*.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64))) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal 3152519739159347/18014398509481984 binary64))) (neg.f64 (/.f64 #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal 3152519739159347/18014398509481984 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) #s(literal 3152519739159347/18014398509481984 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64)) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64) (fma.f64 x (*.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64))) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal 3152519739159347/18014398509481984 binary64))) (/.f64 #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal 3152519739159347/18014398509481984 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 6950067983646062968602827393302715030683959695943014065488794939175700033808489280311075702281/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64))) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 (/.f64 #s(literal 981627885894761932141083906573070856406836339225272835200277323852774575726383065319990255929/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64))) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 364188338354674102395895265341186830539760430057577263394551921/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(literal -98771411053205367615598944958022302079763228686742819763355281/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal -19083719196075855653453975483161/20282409603651670423947251286016 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))) (fma.f64 #s(literal -4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 #s(literal -19083719196075855653453975483161/20282409603651670423947251286016 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) (fma.f64 x #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal -19083719196075855653453975483161/20282409603651670423947251286016 binary64) (.f64 x x) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 4368491638549381/4503599627370496 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 4368491638549381/4503599627370496 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 4368491638549381/4503599627370496 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 4368491638549381/4503599627370496 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) #s(literal 1/2 binary64)))

simplify22.0ms (1%)

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
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(* 4368491638549381/4503599627370496 x)
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* 4368491638549381/4503599627370496 x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)

Outputs
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)

eval43.0ms (1.9%)

Memory: 4.4MiB live, 33.9MiB allocated
Compiler: Compiled 12 640 to 887 computations (93% saved)

prune35.0ms (1.6%)

Memory

4.4MiB live, 37.6MiB 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 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
▶	2.7%	(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
▶	96.4%	#s(literal -3152519739159347/18014398509481984 binary64)

Status

Accuracy

Program

▶

100.0%

(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

▶

2.7%

(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)

▶

96.4%

#s(literal -3152519739159347/18014398509481984 binary64)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.2%)

Memory

-6.9MiB 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 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
✓	cost-diff	0	(*.f64 #s(literal 4368491638549381/4503599627370496 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
(* 4368491638549381/4503599627370496 x)
4368491638549381/4503599627370496
x
(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)
x
4368491638549381/4503599627370496
-3152519739159347/18014398509481984

Outputs
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
4368491638549381/4503599627370496
#s(literal 4368491638549381/4503599627370496 binary64)
x
(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
x
4368491638549381/4503599627370496
#s(literal 4368491638549381/4503599627370496 binary64)
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)

localize21.0ms (0.9%)

Memory

-3.1MiB live, 8.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)

Samples

11.0ms

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 (59.8% of total)

ival-add: 1.0ms (19.9% 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 (* 4368491638549381/4503599627370496 x)>
#<alt (+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)>

Outputs
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt -3152519739159347/18014398509481984>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))>
#<alt (* 4368491638549381/4503599627370496 x)>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>
#<alt (* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 4368491638549381/4503599627370496 x)
0.0ms	x	@	-inf	(* 4368491638549381/4503599627370496 x)
0.0ms	x	@	0	(* 4368491638549381/4503599627370496 x)
0.0ms	x	@	-inf	(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)
0.0ms	x	@	0	(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)

rewrite460.0ms (20.6%)

Memory

-2.1MiB live, 147.7MiB 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
(* 4368491638549381/4503599627370496 x)
(+ (* x 4368491638549381/4503599627370496) -3152519739159347/18014398509481984)

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 4368491638549381/4503599627370496 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 4368491638549381/4503599627370496 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 4368491638549381/4503599627370496 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 4368491638549381/4503599627370496 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x) #s(literal -3152519739159347/18014398509481984 binary64))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 364188338354674102395895265341186830539760430057577263394551921/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(literal -98771411053205367615598944958022302079763228686742819763355281/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64) #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 #s(literal 83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) (.f64 x (*.f64 x x)) #s(literal -31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64) #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -83367067740481690571468067370796036812632473341/91343852333181432387730302044767688728495783936 binary64) #s(literal 31330941350281225345963070127764590895750874923/5846006549323611672814739330865132078623730171904 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64) #s(literal 13771756120879482965859487214207/81129638414606681695789005144064 binary64)) #s(literal 9938380705789317246726257466409/324518553658426726783156020576256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 19083719196075855653453975483161/20282409603651670423947251286016 binary64)) #s(literal -9938380705789317246726257466409/324518553658426726783156020576256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))) #s(literal -1/2 binary64)))

simplify20.0ms (0.9%)

Memory

-1.3MiB 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
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
(* 4368491638549381/4503599627370496 x)
-3152519739159347/18014398509481984
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(* 4368491638549381/4503599627370496 x)
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(* 4368491638549381/4503599627370496 x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))

Outputs
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
-3152519739159347/18014398509481984
#s(literal -3152519739159347/18014398509481984 binary64)
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(- (* 4368491638549381/4503599627370496 x) 3152519739159347/18014398509481984)
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* x (- 4368491638549381/4503599627370496 (* 3152519739159347/18014398509481984 (/ 1 x))))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* 4368491638549381/4503599627370496 x)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))
(* -1 (* x (- (* 3152519739159347/18014398509481984 (/ 1 x)) 4368491638549381/4503599627370496)))
(fma.f64 #s(literal 4368491638549381/4503599627370496 binary64) x #s(literal -3152519739159347/18014398509481984 binary64))

eval30.0ms (1.4%)

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

prune24.0ms (1.1%)

Memory

3.2MiB live, 27.9MiB 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 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

✓

2.7%

(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)

✓

96.4%

#s(literal -3152519739159347/18014398509481984 binary64)

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes5.0ms (0.2%)

Memory

-3.1MiB live, 4.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -3152519739159347/18014398509481984 binary64)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)
(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Outputs
(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))

Calls

3 calls:

2.0ms

(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))

2.0ms

1.0ms

(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 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 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0.2%)

Memory

-3.8MiB live, 4.2MiB allocated

Accuracy

Total -60.3b remaining (-2638.1%)

Threshold costs -60.3b (-2638.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -3152519739159347/18014398509481984 binary64)
(*.f64 #s(literal 4368491638549381/4503599627370496 binary64) x)

Outputs
#s(literal -3152519739159347/18014398509481984 binary64)

Calls

3 calls:

1.0ms

(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))

1.0ms

(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(-.f64 (*.f64 x #s(literal 4368491638549381/4503599627370496 binary64)) (/.f64 #s(literal 3152519739159347/9007199254740992 binary64) #s(literal 2 binary64)))`
96.4%	1	`(*.f64 x #s(literal 4368491638549381/4503599627370496 binary64))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify8.0ms (0.3%)

Memory

4.0MiB live, 4.0MiB 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 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
#s(literal -3152519739159347/18014398509481984 binary64)

Outputs
(fma.f64 x #s(literal 4368491638549381/4503599627370496 binary64) #s(literal -3152519739159347/18014398509481984 binary64))
#s(literal -3152519739159347/18014398509481984 binary64)

soundness247.0ms (11.1%)

Memory

3.2MiB live, 3.2MiB 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	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
0	8	9
1	27	9
2	152	9
3	1217	9
0	8323	8

Stop Event

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess44.0ms (2%)

Memory: 0.6MiB live, 23.9MiB allocated
Compiler: Compiled 28 to 22 computations (21.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

(x * 0.97) - 0.35/2

analyze1.0ms (0.1%)

sample676.0ms (30.3%)

preprocess17.0ms (0.8%)

explain66.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.2%)

localize22.0ms (1%)

series2.0ms (0.1%)

rewrite476.0ms (21.3%)

simplify22.0ms (1%)

eval43.0ms (1.9%)

prune35.0ms (1.6%)

simplify5.0ms (0.2%)

localize21.0ms (0.9%)

series0.0ms (0%)

rewrite460.0ms (20.6%)

simplify20.0ms (0.9%)

eval30.0ms (1.4%)

prune24.0ms (1.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

simplify8.0ms (0.3%)

soundness247.0ms (11.1%)

preprocess44.0ms (2%)

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