Data.Colour.CIE:cieLAB from colour-2.3.3, B

Time bar (total: 2.1s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample544.0ms (26.3%)

Memory
42.3MiB live, 790.9MiB allocated
Samples
401.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-div: 186.0ms (73.6% of total)
ival-add: 51.0ms (20.2% of total)
exact: 8.0ms (3.2% of total)
ival-true: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess22.0ms (1.1%)

Memory
0.9MiB live, 37.7MiB allocated
Algorithm
egg-herbie
Rules
54×div-sub
50×sub-neg
44×distribute-lft-neg-in
34×*-commutative
30×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12215
23715
37815
416815
525915
629815
732015
833615
934915
1035315
055
165
065
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x 16) 116)
Outputs
(/ (+ x 16) 116)
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Call 2
Inputs
(/ (+ x 16) 116)
(/ (+ (neg x) 16) 116)
(neg (/ (+ (neg x) 16) 116))
Outputs
(/ (+ x 16) 116)
(+ 4/29 (* x 1/116))
(/ (+ (neg x) 16) 116)
(+ (* x -1/116) 4/29)
(neg (/ (+ (neg x) 16) 116))
(+ -4/29 (* x 1/116))

explain58.0ms (2.8%)

Memory
-40.9MiB live, 111.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
00-0-(+.f64 x #s(literal 16 binary64))
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
29.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 15.0ms (77.1% of total)
ival-add: 3.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.3%)

Memory
-20.9MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 16 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1611
0611
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x 16) 116)
(+ x 16)
x
16
116
Outputs
(/ (+ x 16) 116)
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+ x 16)
(+.f64 x #s(literal 16 binary64))
x
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)

localize17.0ms (0.8%)

Memory
4.7MiB live, 40.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 16 binary64))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.5% of total)
ival-add: 2.0ms (52.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
6.3MiB live, 6.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/ (+ x 16) 116)>
#<alt (+ x 16)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 16>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt (+ 16 x)>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
#<alt (* x (+ 1 (* 16 (/ 1 x))))>
Calls

6 calls:

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

rewrite701.0ms (33.9%)

Memory
18.9MiB live, 626.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 334×/-lowering-/.f32
5 334×/-lowering-/.f64
3 418×*-lowering-*.f32
3 418×*-lowering-*.f64
2 760×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1318
21758
314438
084177
Stop Event
iter limit
node limit
Counts
2 → 416
Calls
Call 1
Inputs
(/ (+ x 16) 116)
(+ x 16)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)) (/.f64 (/.f64 #s(literal -256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64))))))
(-.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 1/116 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal -16 binary64))) (/.f64 x #s(literal 116 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(fma.f64 (/.f64 x #s(literal 116 binary64)) (/.f64 x (+.f64 x #s(literal -16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1/116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 16777216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 68719476736 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 256 binary64) #s(literal 65536 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)) (-.f64 #s(literal 256 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal 256 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))) (*.f64 #s(literal 1/116 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -65536 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal -16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))

simplify11.0ms (0.6%)

Memory
-6.6MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Rules
72×*-lowering-*.f32
72×*-lowering-*.f64
32×associate-*r*
32×associate-*l*
28×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582
14182
26782
314082
414082
514382
614882
714882
014873
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
16
(+ 16 x)
(+ 16 x)
(+ 16 x)
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
(* x (+ 1 (* 16 (/ 1 x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
(+ 16 x)
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 x #s(literal 16 binary64))

eval52.0ms (2.5%)

Memory
-22.3MiB live, 133.0MiB allocated
Compiler

Compiled 10 358 to 1 234 computations (88.1% saved)

prune52.0ms (2.5%)

Memory
17.1MiB live, 98.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4355440
Fresh000
Picked101
Done000
Total4365441
Accuracy
100.0%
Counts
441 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
55.5%
(/.f64 x #s(literal 116 binary64))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
55.4%
(*.f64 #s(literal 1/116 binary64) x)
46.3%
#s(literal 4/29 binary64)
Compiler

Compiled 42 to 34 computations (19% saved)

simplify4.0ms (0.2%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 116 binary64))
cost-diff0
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
cost-diff0
(*.f64 #s(literal 1/116 binary64) x)
cost-diff0
(*.f64 x #s(literal 1/116 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
Rules
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
+-lowering-+.f32
accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
1930
0928
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x 1/116) 4/29)
(* x 1/116)
x
1/116
4/29
4/29
(* 1/116 x)
1/116
x
(+ (* x 1/116) 4/29)
x
1/116
4/29
(/ x 116)
x
116
Outputs
(+ (* x 1/116) 4/29)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x 1/116)
(*.f64 x #s(literal 1/116 binary64))
x
1/116
#s(literal 1/116 binary64)
4/29
#s(literal 4/29 binary64)
4/29
#s(literal 4/29 binary64)
(* 1/116 x)
(*.f64 x #s(literal 1/116 binary64))
1/116
#s(literal 1/116 binary64)
x
(+ (* x 1/116) 4/29)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
1/116
#s(literal 1/116 binary64)
4/29
#s(literal 4/29 binary64)
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)

localize53.0ms (2.6%)

Memory
0.3MiB live, 37.6MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x #s(literal 116 binary64))
accuracy99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy99.8%
(*.f64 #s(literal 1/116 binary64) x)
accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy99.8%
(*.f64 x #s(literal 1/116 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 23.0ms (71% of total)
const: 6.0ms (18.5% of total)
ival-div: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ (* x 1/116) 4/29)>
#<alt (* x 1/116)>
#<alt (* 1/116 x)>
#<alt (+ (* x 1/116) 4/29)>
#<alt (/ x 116)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x 1/116)
0.0ms
x
@-inf
(* x 1/116)
0.0ms
x
@0
(+ (* x 1/116) 4/29)
0.0ms
x
@inf
(+ (* x 1/116) 4/29)
0.0ms
x
@0
(* x 1/116)

rewrite280.0ms (13.5%)

Memory
10.0MiB live, 485.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 086×/-lowering-/.f32
4 086×/-lowering-/.f64
3 568×accelerator-lowering-fma.f32
3 568×accelerator-lowering-fma.f64
2 734×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
13219
223219
3348119
0813117
Stop Event
iter limit
node limit
Counts
5 → 374
Calls
Call 1
Inputs
(+ (* x 1/116) 4/29)
(* x 1/116)
(* 1/116 x)
(+ (* x 1/116) 4/29)
(/ x 116)
Outputs
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64)) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -1/13456 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/13456 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/3802961274698203136 binary64) #s(literal 262144/14507145975869 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/594823321 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -1/13456 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/116 binary64) #s(literal 4/29 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -1/13456 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)) (fma.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64))))) (fma.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -1/841 binary64) #s(literal 16/841 binary64)) (*.f64 x (*.f64 x #s(literal 1/13456 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal 64/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal 1/841 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (*.f64 x #s(literal 1/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/13456 binary64) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/3802961274698203136 binary64) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/594823321 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/13456 binary64)) #s(literal 1/841 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1560896 binary64) #s(literal -64/24389 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2436396322816 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) (fma.f64 (*.f64 x x) #s(literal 1/707281 binary64) #s(literal 256/707281 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/181063936 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) #s(literal 16/841 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/116 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/116 binary64)))
(neg.f64 (*.f64 x #s(literal -1/116 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 116 binary64))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 116 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 #s(literal -1/116 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal -116 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -1/116 binary64))))))
(pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 116 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 13456 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/116 binary64)))))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/116 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/116 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/116 binary64))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal -1/116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) (exp.f64 (log.f64 x)))

simplify13.0ms (0.6%)

Memory
-11.9MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Rules
44×*-lowering-*.f32
44×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010212
124212
237212
349212
449212
564212
670212
774212
874212
074194
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)

eval47.0ms (2.3%)

Memory
21.4MiB live, 97.6MiB allocated
Compiler

Compiled 7 520 to 474 computations (93.7% saved)

prune28.0ms (1.3%)

Memory
-3.2MiB live, 71.0MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4340434
Fresh000
Picked055
Done000
Total4345439
Accuracy
100.0%
Counts
439 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
55.5%
(/.f64 x #s(literal 116 binary64))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
55.4%
(*.f64 #s(literal 1/116 binary64) x)
46.3%
#s(literal 4/29 binary64)
Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes12.0ms (0.6%)

Memory
-15.5MiB live, 19.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(/.f64 x #s(literal 116 binary64))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Calls

3 calls:

6.0ms
x
2.0ms
(+.f64 x #s(literal 16 binary64))
2.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
100.0%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(/.f64 x #s(literal 116 binary64))
Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 16 binary64))
2.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
99.9%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
Outputs
(*.f64 #s(literal 1/116 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
Calls

3 calls:

1.0ms
x
1.0ms
(+.f64 x #s(literal 16 binary64))
1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
98.5%3x
98.5%3(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
98.5%3(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.4%)

Memory
-34.1MiB live, 12.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
Outputs
#s(literal 4/29 binary64)
Calls

3 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms
x
1.0ms
(+.f64 x #s(literal 16 binary64))
Results
AccuracySegmentsBranch
46.3%1x
46.3%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
46.3%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
16.000005519223514
1266997082461.1829
0.0ms
-390.9237420278252
15.999994734436955
Compiler

Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.4%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01527
12027
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (*.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)))
#s(literal 4/29 binary64)
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (*.f64 #s(literal 1/116 binary64) x) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x)))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -200 binary64)) (*.f64 x #s(literal 1/116 binary64)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))))
#s(literal 4/29 binary64)

soundness93.0ms (4.5%)

Memory
-8.3MiB live, 108.1MiB allocated
Rules
5 334×/-lowering-/.f32
5 334×/-lowering-/.f64
3 418×*-lowering-*.f32
3 418×*-lowering-*.f64
2 760×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1318
21758
314438
084177
01582
14182
26782
314082
414082
514382
614882
714882
014873
Stop Event
done
iter limit
saturated
iter limit
node limit
Compiler

Compiled 43 to 26 computations (39.5% saved)

preprocess44.0ms (2.1%)

Memory
-14.7MiB live, 80.5MiB allocated
Compiler

Compiled 72 to 40 computations (44.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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