Data.Colour.CIE:lightness from colour-2.3.3

Time bar (total: 1.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% 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

sample1.0s (53.7%)

Results
835.0ms8178×256valid
4.0ms31×1024valid
2.0ms27×256infinite
2.0ms19×512valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 150.0ms
Operation ival-mult, time spent: 77.0ms, 51.0% of total-time
Operation ival-sub, time spent: 55.0ms, 37.0% of total-time
Operation const, time spent: 18.0ms, 12.0% of total-time
Bogosity

preprocess144.0ms (7.6%)

Algorithm
1×egg-herbie
Rules
136×fma-neg
36×fma-define
28×distribute-lft-neg-in
24×cancel-sign-sub-inv
20×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x 116)
00-0-116
00-0-(-.f64 (*.f64 x 116) 16)
00-0-16
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01460
13060
25752
310748
418848
524748
626748
727648
828448
928948
1029048
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
(-.f64 (*.f64 x 116) 16)
(-.f64 (*.f64 (neg.f64 x) 116) 16)
(neg.f64 (-.f64 (*.f64 (neg.f64 x) 116) 16))
Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
(-.f64 (*.f64 (neg.f64 x) 116) 16)
(fma.f64 (neg.f64 x) 116 -16)
(+.f64 (*.f64 x -116) -16)
(fma.f64 x -116 -16)
(neg.f64 (-.f64 (*.f64 (neg.f64 x) 116) 16))
(neg.f64 (fma.f64 (neg.f64 x) 116 -16))
(+.f64 (neg.f64 (*.f64 x -116)) 16)
(+.f64 (*.f64 x 116) 16)
(fma.f64 x 116 16)
Compiler

Compiled 32 to 25 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-mult, time spent: 7.0ms, 57.0% of total-time
Operation ival-sub, time spent: 3.0ms, 24.0% of total-time
Operation const, time spent: 2.0ms, 16.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x 116 -16)
▶100.0%
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize44.0ms (2.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 x 116) 16)
Compiler

Compiled 20 to 15 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 6.0ms, 42.0% of total-time
Operation composed, time spent: 4.0ms, 28.0% of total-time
Operation const, time spent: 2.0ms, 14.0% of total-time
Operation ival-sub, time spent: 2.0ms, 14.0% of total-time
Operation ival-add, time spent: 1.0ms, 7.0% of total-time

series2.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x 116) 16)>
Outputs
#<alt -16>
#<alt (-.f64 (*.f64 116 x) 16)>
#<alt (-.f64 (*.f64 116 x) 16)>
#<alt (-.f64 (*.f64 116 x) 16)>
#<alt (*.f64 116 x)>
#<alt (*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))>
#<alt (*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))>
#<alt (*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))>
#<alt (*.f64 116 x)>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))>
#<alt (*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (* x 116) 16)
0.0ms
x
@0
(- (* x 116) 16)
0.0ms
x
@-inf
(- (* x 116) 16)

rewrite327.0ms (17.3%)

Algorithm
1×batch-egg-rewrite
Rules
656×unpow-prod-down
376×log1p-expm1-u
376×expm1-log1p-u
368×cbrt-prod
364×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
18512
2101912
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(-.f64 (*.f64 x 116) 16)
Outputs
(+.f64 (*.f64 x 116) -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(+.f64 -16 (*.f64 x 116))
(+.f64 0 (fma.f64 x 116 -16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 116 -16)) 2))) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 (cbrt.f64 (*.f64 x 116)) (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) -16)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) (cbrt.f64 (*.f64 x 116)) -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)

simplify70.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1376×times-frac
806×associate-*r*
706×associate-*l*
572×distribute-lft-in
550×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01842001
13341913
28681901
342591889
Stop Event
1×node limit
Counts
75 → 86
Calls
Call 1
Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(*.f64 116 x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(+.f64 (*.f64 x 116) -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(+.f64 -16 (*.f64 x 116))
(+.f64 0 (fma.f64 x 116 -16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 116 -16)) 2))) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 (cbrt.f64 (*.f64 x 116)) (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) -16)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) (cbrt.f64 (*.f64 x 116)) -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)
Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(fma.f64 116 x -16)
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(fma.f64 116 x -16)
(*.f64 x (-.f64 116 (*.f64 16 (/.f64 1 x))))
(fma.f64 116 x -16)
(*.f64 116 x)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(fma.f64 116 x -16)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(fma.f64 116 x -16)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 16 (/.f64 1 x)) 116)))
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(fma.f64 116 x -16)
(+.f64 -16 (*.f64 x 116))
(fma.f64 116 x -16)
(+.f64 0 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 116 x -16)))))
(*.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(fma.f64 116 x -16)
(*.f64 1 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 116 x -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 116 x -16) 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 116 x -16) (cbrt.f64 (fma.f64 116 x -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 116 x -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 116 x -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 116 x -16) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 116 x -16) (cbrt.f64 (fma.f64 116 x -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 116 x -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 116 x -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (*.f64 (*.f64 x 116) -16))))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 116 x 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(fma.f64 116 x -16)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(fma.f64 116 x -16)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 116 -16)) 2))) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 116 x -16)) 2))) (cbrt.f64 (log.f64 (fma.f64 116 x -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 116 x -16)))) (sqrt.f64 (log.f64 (fma.f64 116 x -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(fma.f64 116 x -16)
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(fma.f64 116 x -16)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 116 x 16) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(fma.f64 116 x -16)
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 116 x -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(fma.f64 (cbrt.f64 (*.f64 x 116)) (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) -16)
(fma.f64 (cbrt.f64 (*.f64 116 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) -16)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) (cbrt.f64 (*.f64 x 116)) -16)
(fma.f64 (cbrt.f64 (*.f64 116 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 13456)) -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 116 x -16)
(fma.f64 (sqrt.f64 (*.f64 x 116)) (sqrt.f64 (*.f64 x 116)) -16)
(fma.f64 116 x -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)
(fma.f64 116 x -16)

eval31.0ms (1.6%)

Compiler

Compiled 1040 to 875 computations (15.9% saved)

prune84.0ms (4.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh000
Picked022
Done000
Total84488
Accuracy
100.0%
Counts
88 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x 116 -16)
✓100.0%
(-.f64 (*.f64 x 116) 16)
▶54.7%
(*.f64 116 x)
▶46.8%
-16
Compiler

Compiled 17 to 14 computations (17.6% saved)

localize20.0ms (1.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 67.0% of total-time
Operation const, time spent: 1.0ms, 34.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x 116 -16)
✓100.0%
(-.f64 (*.f64 x 116) 16)
✓54.7%
(*.f64 116 x)
✓46.8%
-16
Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes13.0ms (0.7%)

Counts
4 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
Outputs
(fma.f64 x 116 -16)
Calls

3 calls:

5.0ms
(*.f64 x 116)
4.0ms
x
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 x 116) 16)
100.0%1(*.f64 x 116)
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.6%)

Counts
3 → 1
Calls
Call 1
Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
Outputs
(-.f64 (*.f64 x 116) 16)
Calls

3 calls:

4.0ms
(*.f64 x 116)
4.0ms
x
3.0ms
(-.f64 (*.f64 x 116) 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 x 116) 16)
100.0%1(*.f64 x 116)
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-16
(*.f64 116 x)
Outputs
(*.f64 116 x)
-16
(*.f64 116 x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-16
Outputs
-16
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
46.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch42.0ms (2.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.0468039993633444e-20
0.4593101693847171
18.0ms
-71160.13101270341
-0.0004734048259299802
Results
36.0ms319×256valid
0.0ms1×256valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 5.0ms, 64.0% of total-time
Operation ival-sub, time spent: 2.0ms, 26.0% of total-time
Operation const, time spent: 1.0ms, 13.0% of total-time

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×*-commutative
4×+-commutative
2×neg-sub0
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271
13271
23771
33971
44071
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -607985949695017/4503599627370496) (*.f64 116 x) (if (<=.f64 x 1224979098644775/9007199254740992) -16 (*.f64 116 x)))
-16
Outputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -607985949695017/4503599627370496) (*.f64 116 x) (if (<=.f64 x 1224979098644775/9007199254740992) -16 (*.f64 116 x)))
(if (or (<=.f64 x -607985949695017/4503599627370496) (not (<=.f64 x 1224979098644775/9007199254740992))) (*.f64 x 116) -16)
-16
Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness25.0ms (1.3%)

Rules
136×fma-neg
36×fma-define
28×distribute-lft-neg-in
24×cancel-sign-sub-inv
20×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01460
13060
25752
310748
418848
524748
626748
727648
828448
928948
1029048
Stop Event
1×saturated
Compiler

Compiled 15 to 12 computations (20% saved)

end0.0ms (0%)

preprocess40.0ms (2.1%)

Compiler

Compiled 60 to 48 computations (20% saved)

Profiling

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