Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, D

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.8s (59.5%)

Results

1.6s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

Operation ival-sub, time spent: 203.0ms, 51.0% of total-time

Operation ival-div, time spent: 170.0ms, 43.0% of total-time

Operation const, time spent: 24.0ms, 6.0% of total-time

Bogosity

preprocess295.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-neg`
41×	`fma-define`
22×	`sub-neg`
18×	`distribute-lft-neg-in`
18×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
-	-	`(/.f64 y #s(literal 200 binary64))`
-	-	`y`
-	-	`#s(literal 200 binary64)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	39	137
2	86	133
3	179	113
4	350	113
5	465	113
6	502	113
7	505	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 200 binary64)))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 200 binary64)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 200 binary64))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 200 binary64))))
(-.f64 y (/.f64 x #s(literal 200 binary64)))

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(+.f64 x (/.f64 y #s(literal -200 binary64)))
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(+.f64 x (/.f64 y #s(literal -200 binary64)))
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)
(-.f64 (neg.f64 x) (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -200 binary64)))
(-.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(-.f64 x (/.f64 (neg.f64 y) #s(literal 200 binary64)))
(+.f64 x (/.f64 y #s(literal 200 binary64)))
(+.f64 x (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal 1/200 binary64) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 200 binary64))))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 200 binary64)))
(+.f64 x (/.f64 y #s(literal 200 binary64)))
(+.f64 x (*.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal 1/200 binary64) x)
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 200 binary64))))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 200 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -200 binary64)))
(-.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(-.f64 y (/.f64 x #s(literal 200 binary64)))
(+.f64 y (/.f64 x #s(literal -200 binary64)))
(+.f64 y (*.f64 x #s(literal -1/200 binary64)))
(fma.f64 x #s(literal -1/200 binary64) y)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

Operation ival-div, time spent: 23.0ms, 71.0% of total-time

Operation ival-sub, time spent: 7.0ms, 22.0% of total-time

Operation const, time spent: 3.0ms, 9.0% of total-time

eval4.0ms (0.1%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune4.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
▶	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize99.0ms (3.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 y #s(literal -1/200 binary64) x)
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

Operation ival-div, time spent: 13.0ms, 32.0% of total-time

Operation composed, time spent: 12.0ms, 30.0% of total-time

Operation ival-add, time spent: 5.0ms, 12.0% of total-time

Operation ival-mult, time spent: 5.0ms, 12.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 5.0% of total-time

series9.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 x (/.f64 y #s(literal 200 binary64)))>
#<alt (fma.f64 y #s(literal -1/200 binary64) x)>

Outputs
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (-.f64 x (*.f64 #s(literal 1/200 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/200 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/200 binary64) y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(- x (/ y 200))
1.0ms	x	@	0	(- x (/ y 200))
0.0ms	y	@	0	(+ (* y -1/200) x)
0.0ms	x	@	0	(+ (* y -1/200) x)
0.0ms	y	@	-inf	(- x (/ y 200))

rewrite411.0ms (13.7%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`prod-diff`
553×	`log1p-expm1-u`
553×	`expm1-log1p-u`
462×	`unpow-prod-down`
255×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	129	30
2	1768	30

Stop Event

1×	node limit

Counts

2 → 240

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)

Outputs
(+.f64 x (*.f64 y #s(literal -1/200 binary64)))
(+.f64 x (.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64) (.f64 y #s(literal 1/200 binary64))))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 1/200 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/200 binary64))))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 #s(literal -1/200 binary64) y (*.f64 y #s(literal 1/200 binary64))))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/200 binary64)) (.f64 y #s(literal 1/200 binary64))))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y #s(literal 1/200 binary64))) (*.f64 y #s(literal 1/200 binary64))))
(+.f64 (fma.f64 y #s(literal -1/200 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/200 binary64) (*.f64 y #s(literal 1/200 binary64))))
(+.f64 (*.f64 y #s(literal -1/200 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/200 binary64) x))
(+.f64 (.f64 (.f64 y #s(literal -1/200 binary64)) #s(literal 1 binary64)) x)
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 #s(literal -1/200 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (.f64 #s(literal -1/200 binary64) (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 #s(literal -1/200 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (.f64 #s(literal -1/200 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal -1/200 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (.f64 #s(literal -1/200 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64))) (sqrt.f64 y) (.f64 (/.f64 (sqrt.f64 y) #s(literal 200 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (.f64 #s(literal -1/200 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/200 binary64) (neg.f64 y) (.f64 #s(literal -1/200 binary64) (neg.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 y) #s(literal 1/200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (cbrt.f64 y) #s(literal 1/200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 y) #s(literal 200 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 y) #s(literal 1/200 binary64))) (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) #s(literal 1/200 binary64)) (sqrt.f64 y))))
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(pow.f64 (sqrt.f64 (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 y #s(literal 1/200 binary64)) (fma.f64 y #s(literal 1/200 binary64) x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal 1/200 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/40000 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/200 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -1/200 binary64) x))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1/200 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1/200 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (.f64 y #s(literal -1/200 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1/200 binary64))) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) #s(literal 1/200 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (.f64 (exp.f64 (.f64 y #s(literal -1/200 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/200 binary64))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) #s(literal 1/200 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/200 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal -1/200 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/200 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -1/200 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 y #s(literal -1/200 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y #s(literal -1/200 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y #s(literal -1/200 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))

eval99.0ms (3.3%)

Compiler: Compiled 4347 to 2802 computations (35.5% saved)

prune23.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	285	3	288
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	286	4	290

Accuracy

100.0%

Counts

290 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	89.2%	(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))
▶	50.4%	(*.f64 #s(literal -1/200 binary64) y)
▶	51.7%	x

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize45.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	89.2%	(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))
✓	99.8%	(*.f64 #s(literal -1/200 binary64) y)

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 38.0% of total-time

Operation ival-sub, time spent: 3.0ms, 28.0% of total-time

Operation ival-div, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

series6.0ms (0.2%)

Counts

2 → 21

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))>

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/200 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1/200 binary64) y)>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/200 binary64) y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/200 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/200 binary64) (/.f64 y x)) #s(literal 1 binary64))))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y (- (/ x y) 1/200))
1.0ms	y	@	inf	(* -1/200 y)
1.0ms	x	@	inf	(* y (- (/ x y) 1/200))
0.0ms	y	@	0	(* y (- (/ x y) 1/200))
0.0ms	y	@	inf	(* y (- (/ x y) 1/200))

rewrite99.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`log1p-expm1-u`
742×	`expm1-log1p-u`
729×	`unpow-prod-down`
388×	`log-prod`
132×	`pow-to-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	148	38
2	1964	38

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/200 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/200 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8000000 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/200 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/40000 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/200 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/200 binary64) y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8000000 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/200 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/200 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/200 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/200 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/200 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8000000 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/200 binary64) y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))
(+.f64 (.f64 y (/.f64 x y)) (.f64 #s(literal -1/200 binary64) y))
(+.f64 (.f64 (/.f64 x y) y) (.f64 #s(literal -1/200 binary64) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8000000 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/200 binary64) #s(literal 1/40000 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/40000 binary64))) (+.f64 (/.f64 x y) #s(literal 1/200 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8000000 binary64)) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/200 binary64) #s(literal 1/40000 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/40000 binary64)) y) (+.f64 (/.f64 x y) #s(literal 1/200 binary64)))
(pow.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))) #s(literal 2 binary64)))
(fma.f64 y (/.f64 x y) (*.f64 #s(literal -1/200 binary64) y))
(fma.f64 (/.f64 x y) y (*.f64 #s(literal -1/200 binary64) y))

eval14.0ms (0.5%)

Compiler: Compiled 611 to 390 computations (36.2% saved)

prune11.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	89.2%	(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))
✓	50.4%	(*.f64 #s(literal -1/200 binary64) y)
✓	51.7%	x

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes11.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/200 binary64) y)
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -1/200 binary64) x)

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 200 binary64)))`
100.0%	1	`(/.f64 y #s(literal 200 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal -1/200 binary64) y)

Outputs
(*.f64 #s(literal -1/200 binary64) y)
x
(*.f64 #s(literal -1/200 binary64) y)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
77.8%	3	`x`
81.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	done
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0054287042758832	96558523396437.61
17.0ms	-1036773315.6461968	-885.1973247066564

Results

30.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 229 to 180 computations (21.4% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 58.0% of total-time

Operation ival-sub, time spent: 2.0ms, 39.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

soundness0.0ms (0%)

end0.0ms (0%)

preprocess41.0ms (1.4%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

analyze0.0ms (0%)

sample1.8s (59.5%)

preprocess295.0ms (9.8%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

localize99.0ms (3.3%)

series9.0ms (0.3%)

rewrite411.0ms (13.7%)

eval99.0ms (3.3%)

prune23.0ms (0.8%)

localize45.0ms (1.5%)

series6.0ms (0.2%)

rewrite99.0ms (3.3%)

eval14.0ms (0.5%)

prune11.0ms (0.4%)

regimes11.0ms (0.4%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch36.0ms (1.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess41.0ms (1.4%)

Profiling