Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

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

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

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

const: 0.0ms (0% of total)

sample605.0ms (37.6%)

Results

388.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 72.0ms (50.2% of total)

ival-sub: 59.0ms (41.2% of total)

const: 10.0ms (7% of total)

backward-pass: 3.0ms (2.1% of total)

Bogosity

preprocess64.0ms (4%)

Algorithm

1×	egg-herbie

Rules

212×	`fma-define`
86×	`fma-neg`
52×	`distribute-lft-in`
43×	`associate-r`
41×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	50	137
2	116	133
3	360	132
4	670	132
5	932	132
6	939	132

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

explain171.0ms (10.6%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x (-.f64 #s(literal 1 binary64) y))`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

154.0ms

512×

256

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

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

ival-sub: 6.0ms (54.9% of total)

ival-mult: 4.0ms (36.6% of total)

const: 1.0ms (9.2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize27.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))

Results

20.0ms

256×

256

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

ival-sub: 3.0ms (54.9% of total)

ival-mult: 2.0ms (36.6% of total)

const: 0.0ms (0% of total)

series3.0ms (0.2%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite239.0ms (14.8%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`log1p-expm1-u`
452×	`expm1-log1p-u`
433×	`add-exp-log`
416×	`add-log-exp`
386×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	103	19
2	1213	19

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

simplify75.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

388×	`unsub-neg`
326×	`exp-prod`
307×	`associate-+l+`
295×	`associate-+r+`
286×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1336
1	226	1184
2	488	1184
3	1991	1184
4	5507	1184

Stop Event

1×	node limit

Counts

49 → 51

Calls

Call 1

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

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

eval11.0ms (0.7%)

Compiler: Compiled 476 to 291 computations (38.9% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Accuracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 (neg.f64 y) x))
▶	50.8%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	51.2%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize48.0ms (3%)

Results

28.0ms

256×

256

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (51.5% of total)

ival-neg: 3.0ms (38.6% of total)

ival-add: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	1	1
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 (neg.f64 y) x))
✓	50.8%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	51.2%	x

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes7.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 (neg.f64 y) x))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))
1.0ms	(-.f64 #s(literal 1 binary64) y)

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 #s(literal 1 binary64) y)
2.0ms	x
1.0ms	y
1.0ms	(*.f64 x (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y (neg.f64 x))

Outputs
(*.f64 y (neg.f64 x))
x
(*.f64 y (neg.f64 x))

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
65.3%	6	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (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:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
51.2%	1	`x`
51.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch72.0ms (4.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	6.655565714829733e-8	243.02811610941674
10.0ms	-55468.92421252194	-0.0010157481114823508

Results

62.0ms

288×

valid

Compiler

Compiled 210 to 153 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (45.1% of total)

ival-mult: 2.0ms (45.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
5×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	46	97
2	56	97
3	60	97
4	61	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 y (neg.f64 x))))
x

Outputs
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 x (*.f64 x (neg.f64 y)))
(-.f64 x (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (neg.f64 x)) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 y (neg.f64 x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 x (neg.f64 y)) x)
x

soundness226.0ms (14.1%)

Rules

452×	`log1p-expm1-u`
452×	`expm1-log1p-u`
433×	`add-exp-log`
416×	`add-log-exp`
388×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1336
1	226	1184
2	488	1184
3	1991	1184
4	5507	1184
0	10	19
1	103	19
2	1213	19

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 73 to 40 computations (45.2% saved)

preprocess29.0ms (1.8%)

Remove: (negabs x)
Compiler: Compiled 124 to 74 computations (40.3% saved)

Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

analyze0.0ms (0%)

sample605.0ms (37.6%)

preprocess64.0ms (4%)

explain171.0ms (10.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (1.7%)

series3.0ms (0.2%)

rewrite239.0ms (14.8%)

simplify75.0ms (4.7%)

eval11.0ms (0.7%)

prune7.0ms (0.4%)

localize48.0ms (3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes7.0ms (0.4%)

regimes8.0ms (0.5%)

regimes8.0ms (0.5%)

regimes1.0ms (0.1%)

bsearch72.0ms (4.5%)

simplify4.0ms (0.2%)

soundness226.0ms (14.1%)

preprocess29.0ms (1.8%)

end0.0ms (0%)

Profiling