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

Time bar (total: 2.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (58.2%)

Results
849.0ms7182×256valid
176.0ms1073×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
Operation ival-mult, time spent: 147.0ms, 53.0% of total-time
Operation ival-sub, time spent: 116.0ms, 42.0% of total-time
Operation const, time spent: 15.0ms, 5.0% of total-time
Bogosity

preprocess191.0ms (9.2%)

Algorithm
1×egg-herbie
Rules
212×fma-define
86×fma-neg
52×distribute-lft-in
43×associate-*r*
41×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) y)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020149
150137
2116133
3360132
4670132
5932132
6939132
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)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sub, time spent: 6.0ms, 48.0% of total-time
Operation ival-mult, time spent: 4.0ms, 32.0% of total-time
Operation const, time spent: 2.0ms, 16.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize31.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-sub, time spent: 4.0ms, 58.0% of total-time
Operation ival-mult, time spent: 2.0ms, 29.0% of total-time
Operation const, time spent: 1.0ms, 15.0% of total-time

series4.0ms (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:

TimeVariablePointExpression
1.0ms
y
@inf
(* x (- 1 y))
1.0ms
y
@-inf
(* x (- 1 y))
1.0ms
x
@0
(* x (- 1 y))
0.0ms
x
@-inf
(* x (- 1 y))
0.0ms
x
@inf
(* x (- 1 y))

rewrite185.0ms (8.9%)

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)

IterNodesCost
01019
110319
2121319
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))

simplify78.0ms (3.8%)

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)

IterNodesCost
01101336
12261184
24881184
319911184
455071184
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 (0.5%)

Compiler

Compiled 476 to 291 computations (38.9% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48351
Fresh000
Picked011
Done000
Total48452
Accuracy
100.0%
Counts
52 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (*.f64 (neg.f64 y) x))
▶53.8%
(*.f64 y (neg.f64 x))
✓100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶49.0%
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize43.0ms (2.1%)

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 4.0ms, 47.0% of total-time
Operation ival-neg, time spent: 3.0ms, 35.0% of total-time
Operation ival-add, time spent: 2.0ms, 23.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

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)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 x (*.f64 (neg.f64 y) x))
✓53.8%
(*.f64 y (neg.f64 x))
✓100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓49.0%
x
Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes8.0ms (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:

3.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
1.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
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)

regimes7.0ms (0.3%)

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:

2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) y))
2.0ms
y
1.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
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)

regimes11.0ms (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:

6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
67.6%10x
98.9%3y
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
AccuracySegmentsBranch
49.0%1x
49.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch40.0ms (1.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.6854294418523874e-8
7.96873679802554
21.0ms
-9.205246232175415e+29
-8.618038471104992e-14
Results
34.0ms335×256valid
0.0ms1×256valid
Compiler

Compiled 243 to 177 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-sub, time spent: 5.0ms, 63.0% of total-time
Operation ival-mult, time spent: 3.0ms, 38.0% of total-time
Operation const, time spent: 1.0ms, 13.0% of total-time

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
5×+-commutative
4×sub-neg
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024101
14697
25697
36097
46197
Stop Event
1×done
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
Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness201.0ms (9.7%)

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)

IterNodesCost
01101336
12261184
24881184
319911184
455071184
01019
110319
2121319
Stop Event
1×node limit
1×node limit
Compiler

Compiled 46 to 24 computations (47.8% saved)

end0.0ms (0%)

preprocess37.0ms (1.8%)

Remove

(negabs x)

Compiler

Compiled 124 to 74 computations (40.3% saved)

Profiling

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