Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, B

Time bar (total: 2.1s)

analyze1.0ms (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)

sample697.0ms (32.6%)

Results
592.0ms7266×body256valid
88.0ms990×body256infinite
Bogosity

preprocess47.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
746×fma-def
92×unsub-neg
82×distribute-lft-in
66×distribute-rgt-in
62×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
15053
210853
320753
431753
543853
664753
789753
894253
994453
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y 1))
(*.f64 x (+.f64 y 1))
(*.f64 (neg.f64 x) (+.f64 y 1))
(*.f64 x (+.f64 (neg.f64 y) 1))
(*.f64 y (+.f64 x 1))
Outputs
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 x (+.f64 y 1))
(fma.f64 x y x)
(*.f64 (neg.f64 x) (+.f64 y 1))
(*.f64 (+.f64 y 1) (neg.f64 x))
(neg.f64 (fma.f64 x y x))
(*.f64 x (-.f64 -1 y))
(*.f64 x (+.f64 (neg.f64 y) 1))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(*.f64 y (+.f64 x 1))
(fma.f64 x y y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 3 computations (50% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x y x)
▶100.0%
(*.f64 x (+.f64 y 1))
▶100.0%
(fma.f64 x y x)
▶100.0%
(*.f64 x (+.f64 y 1))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize47.0ms (2.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y 1))
Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (+.f64 y 1))
0.0ms
x
@inf
(*.f64 x (+.f64 y 1))
0.0ms
x
@-inf
(*.f64 x (+.f64 y 1))
0.0ms
y
@inf
(*.f64 x (+.f64 y 1))
0.0ms
y
@-inf
(*.f64 x (+.f64 y 1))

rewrite77.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1466×pow1
1358×log1p-expm1-u
1358×expm1-log1p-u
1356×add-exp-log
1332×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11479
219139
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 x (+.f64 y 1))
Outputs
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)

simplify222.0ms (10.4%)

Algorithm
1×egg-herbie
Rules
1706×fma-def
990×times-frac
946×fma-neg
938×log-prod
598×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066682
1173520
2565508
32655498
47308498
Stop Event
1×node limit
Counts
46 → 33
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 (*.f64 x y) x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)
Outputs
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 (*.f64 (*.f64 x y) 1) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (*.f64 x (-.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 y (*.f64 x y)) (-.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (*.f64 x (fma.f64 y (*.f64 x y) (-.f64 x (*.f64 x y)))))
(*.f64 1 (/.f64 (*.f64 x (fma.f64 x (pow.f64 y 3) x)) (*.f64 x (fma.f64 y y (-.f64 1 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (fma.f64 y y (-.f64 1 y)) x))
(/.f64 x (/.f64 (fma.f64 y y (-.f64 1 y)) (+.f64 1 (pow.f64 y 3))))
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (fma.f64 x (pow.f64 y 3) x) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))
(/.f64 (+.f64 1 (pow.f64 y 3)) (/.f64 (fma.f64 y y (-.f64 1 y)) x))
(/.f64 x (/.f64 (fma.f64 y y (-.f64 1 y)) (+.f64 1 (pow.f64 y 3))))
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y))
(/.f64 (fma.f64 x (pow.f64 y 3) x) (fma.f64 y y (-.f64 1 y)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (log.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 y x x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)

eval25.0ms (1.2%)

Compiler

Compiled 344 to 156 computations (54.7% saved)

prune33.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh000
Picked112
Done000
Total31435
Accuracy
100.0%
Counts
35 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
▶49.1%
(*.f64 x y)
51.9%
x
▶100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
▶49.1%
(*.f64 x y)
51.9%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize84.0ms (3.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
Compiler

Compiled 18 to 5 computations (72.2% saved)

series22.0ms (1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(+.f64 (*.f64 x y) x)
9.0ms
x
@0
(+.f64 (*.f64 x y) x)
1.0ms
x
@-inf
(+.f64 (*.f64 x y) x)
1.0ms
y
@inf
(+.f64 (*.f64 x y) x)
1.0ms
y
@-inf
(+.f64 (*.f64 x y) x)

rewrite180.0ms (8.4%)

Algorithm
1×batch-egg-rewrite
Rules
1450×pow1
1342×add-exp-log
1342×log1p-expm1-u
1342×expm1-log1p-u
1316×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
218319
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) x)
Outputs
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 1 (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x y) x)))
(*.f64 (+.f64 y 1) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (-.f64 x (*.f64 x y)))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)

simplify182.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
1024×associate-*r*
980×associate-*l*
974×div-sub
754×distribute-lft-neg-in
608×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0971082
1237816
2755816
35071816
Stop Event
1×node limit
Counts
62 → 44
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 1 (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x y) x)))
(*.f64 (+.f64 y 1) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (-.f64 x (*.f64 x y)))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(exp.f64 (log.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 y x x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
Outputs
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(-.f64 (+.f64 1 (fma.f64 x y x)) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 y 1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 1 (fma.f64 x y x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 x (-.f64 (*.f64 x y) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (+.f64 y 1) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 x (-.f64 (*.f64 x y) x)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 x (-.f64 (*.f64 x y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 x y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 x (-.f64 (*.f64 x y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (-.f64 (*.f64 x y) x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 x (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 x (-.f64 (*.f64 x y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x y) x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (-.f64 x (*.f64 x y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (log.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 y x x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 (*.f64 x y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)

eval28.0ms (1.3%)

Compiler

Compiled 487 to 185 computations (62% saved)

prune60.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New44044
Fresh011
Picked022
Done011
Total44448
Accuracy
100.0%
Counts
48 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
✓49.1%
(*.f64 x y)
51.9%
x
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
✓49.1%
(*.f64 x y)
51.9%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
✓49.1%
(*.f64 x y)
51.9%
x
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
✓49.1%
(*.f64 x y)
51.9%
x
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) x)
✓100.0%
(*.f64 x (+.f64 y 1))
✓49.1%
(*.f64 x y)
51.9%
x
Compiler

Compiled 42 to 22 computations (47.6% saved)

regimes19.0ms (0.9%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (+.f64 y 1))
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
Outputs
(fma.f64 x y x)
Calls

4 calls:

5.0ms
x
4.0ms
y
4.0ms
(*.f64 x (+.f64 y 1))
3.0ms
(+.f64 y 1)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (+.f64 y 1))
100.0%1(+.f64 y 1)
Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes16.0ms (0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (+.f64 y 1))
(+.f64 (*.f64 x y) x)
Outputs
(+.f64 (*.f64 x y) x)
Calls

4 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (+.f64 y 1))
3.0ms
(+.f64 y 1)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (+.f64 y 1))
100.0%1(+.f64 y 1)
Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes16.0ms (0.8%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (+.f64 y 1))
Outputs
(*.f64 x (+.f64 y 1))
Calls

4 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (+.f64 y 1))
3.0ms
(+.f64 y 1)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 x (+.f64 y 1))
100.0%1(+.f64 y 1)
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes67.0ms (3.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
Outputs
(*.f64 x y)
x
(*.f64 x y)
Calls

2 calls:

52.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
66.1%12x
97.0%3y
Compiler

Compiled 12 to 7 computations (41.7% 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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
51.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch70.0ms (3.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.0010346293926661383
1.9982076110385836
36.0ms
-128.68430374969674
-7.334917357568265e-13
Results
63.0ms288×body256valid
Compiler

Compiled 192 to 135 computations (29.7% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
4×*-commutative
2×1-exp
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01969
13169
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(*.f64 x (+.f64 y 1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) x (*.f64 x y)))
x
Outputs
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y 1))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) x (*.f64 x y)))
x
Compiler

Compiled 40 to 23 computations (42.5% saved)

soundness179.0ms (8.4%)

Rules
1466×pow1
1358×log1p-expm1-u
1358×expm1-log1p-u
1356×add-exp-log
1332×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
15053
210853
320753
431753
543853
664753
789753
894253
994453
0713
11479
219139
Stop Event
1×node limit
1×saturated
Compiler

Compiled 43 to 23 computations (46.5% saved)

end0.0ms (0%)

preprocess47.0ms (2.2%)

Compiler

Compiled 92 to 46 computations (50% saved)

Profiling

Loading profile data...