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

Time bar (total: 4.3s)

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)

sample527.0ms (12.3%)

Memory
-9.6MiB live, 733.7MiB allocated
Samples
346.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-div: 75.0ms (47.3% of total)
ival-add: 66.0ms (41.6% of total)
exact: 8.0ms (5% of total)
ival-true: 6.0ms (3.8% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess21.0ms (0.5%)

Memory
-0.1MiB live, 38.7MiB 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))

explain162.0ms (3.8%)

Memory
4.9MiB live, 86.8MiB 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
137.0ms512×0valid
Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49% of total)
ival-add: 3.0ms (36.7% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

simplify4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB 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 (0.4%)

Memory
1.8MiB live, 38.9MiB 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
11.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (55.3% of total)
ival-div: 2.0ms (36.8% 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%)

Memory
4.5MiB live, 4.5MiB 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
@0
(+ x 16)

rewrite423.0ms (9.9%)

Memory
7.8MiB live, 680.9MiB 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)) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.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 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (*.f64 x x) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 256 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)) #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)))

simplify14.0ms (0.3%)

Memory
-6.7MiB live, 29.4MiB 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))

eval49.0ms (1.2%)

Memory
9.7MiB live, 129.3MiB allocated
Compiler

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

prune86.0ms (2%)

Memory
-22.8MiB live, 150.2MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4337440
Fresh000
Picked101
Done000
Total4347441
Accuracy
100.0%
Counts
441 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
75.4%
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
56.0%
(/.f64 x #s(literal 116 binary64))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
99.9%
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
55.9%
(*.f64 #s(literal 1/116 binary64) x)
44.1%
#s(literal 4/29 binary64)
Compiler

Compiled 74 to 58 computations (21.6% saved)

simplify8.0ms (0.2%)

Memory
29.0MiB live, 29.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x #s(literal 1/116 binary64))
cost-diff192
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
cost-diff0
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
cost-diff-64
(*.f64 #s(literal 1/116 binary64) x)
cost-diff0
(-.f64 #s(literal -16 binary64) x)
cost-diff128
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
Rules
60×accelerator-lowering-fma.f32
60×accelerator-lowering-fma.f64
48×+-lowering-+.f64
48×+-lowering-+.f32
40×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11436
22536
33836
45736
57436
610336
712936
814136
914436
014433
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (- -16 x) -1/116)
(- -16 x)
-16
x
-1/116
4/29
(* 1/116 x)
1/116
x
(+ (* x 1/116) 4/29)
x
1/116
4/29
(+ (* x 1/116) 4/29)
(* x 1/116)
x
1/116
4/29
Outputs
(* (- -16 x) -1/116)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(- -16 x)
(-.f64 #s(literal -16 binary64) x)
-16
#s(literal -16 binary64)
x
-1/116
#s(literal -1/116 binary64)
4/29
#s(literal 4/29 binary64)
(* 1/116 x)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 0 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 1/116) 4/29)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(* x 1/116)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 0 binary64))
x
1/116
#s(literal 1/116 binary64)
4/29
#s(literal 4/29 binary64)

localize45.0ms (1%)

Memory
-15.5MiB live, 101.8MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy99.8%
(*.f64 x #s(literal 1/116 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 #s(literal -16 binary64) x)
accuracy99.9%
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
Samples
32.0ms256×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
const: 9.0ms (46% of total)
ival-mult: 8.0ms (40.9% of total)
ival-sub: 2.0ms (10.2% of total)
ival-add: 1.0ms (5.1% 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
6.5MiB live, 6.5MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (* (- -16 x) -1/116)>
#<alt (- -16 x)>
#<alt (* 1/116 x)>
#<alt (+ (* x 1/116) 4/29)>
#<alt (+ (* x 1/116) 4/29)>
#<alt (* x 1/116)>
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 -16>
#<alt (- (* -1 x) 16)>
#<alt (- (* -1 x) 16)>
#<alt (- (* -1 x) 16)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 16 (/ 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 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 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

18 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* 1/116 x)
0.0ms
x
@-inf
(* 1/116 x)
0.0ms
x
@0
(* 1/116 x)
0.0ms
x
@-inf
(* (- -16 x) -1/116)
0.0ms
x
@inf
(+ (* x 1/116) 4/29)

rewrite549.0ms (12.8%)

Memory
-11.2MiB live, 756.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 712×accelerator-lowering-fma.f32
5 712×accelerator-lowering-fma.f64
3 990×/-lowering-/.f32
3 990×/-lowering-/.f64
3 602×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
14324
228624
3240524
0825921
Stop Event
iter limit
node limit
Counts
6 → 642
Calls
Call 1
Inputs
(* (- -16 x) -1/116)
(- -16 x)
(* 1/116 x)
(+ (* x 1/116) 4/29)
(+ (* x 1/116) 4/29)
(* x 1/116)
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 (*.f64 x 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 (/.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 x (*.f64 (*.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 x (*.f64 (*.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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 (*.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 x (*.f64 (*.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 x (*.f64 (*.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 x (*.f64 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 x (*.f64 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 x (*.f64 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)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)))))
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(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal -16 binary64) x))
(*.f64 (fma.f64 x (*.f64 (*.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))))
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(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal -1/116 binary64)))
(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (/.f64 #s(literal -1/116 binary64) (+.f64 #s(literal -16 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (*.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 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 #s(literal 1 binary64) (fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64)))
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(*.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 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal 64/24389 binary64))) #s(literal -1 binary64)))
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(*.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)))
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(*.f64 (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -16 binary64) x) #s(literal 256 binary64))))
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(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (fma.f64 x (*.f64 x x) #s(literal -4096 binary64))) (fma.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (*.f64 x (+.f64 #s(literal -16 binary64) x))) #s(literal 16777216 binary64))) (fma.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal -16 binary64) x)) #s(literal 256 binary64)) #s(literal 65536 binary64)))
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(*.f64 (/.f64 (*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal -16 binary64) x))
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(*.f64 (/.f64 (fma.f64 x (*.f64 (*.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 (*.f64 x x) #s(literal 1/13456 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/181063936 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.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 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 1/13456 binary64)) (fma.f64 x #s(literal 1/841 binary64) #s(literal 16/841 binary64))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/116 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 x (*.f64 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))))
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(*.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 x (*.f64 (*.f64 x x) #s(literal 1/1560896 binary64)) #s(literal -64/24389 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)))
(neg.f64 (*.f64 x #s(literal -1/116 binary64)))
(pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/116 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) x)
(*.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) (pow.f64 (*.f64 x #s(literal -1/116 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -1/116 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 1/116 binary64))) x)

simplify26.0ms (0.6%)

Memory
16.1MiB live, 55.5MiB allocated
Algorithm
egg-herbie
Rules
196×accelerator-lowering-fma.f32
196×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
92×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019269
151269
2113260
3280260
4341260
5383260
6418260
7467260
8507260
9514260
10517260
11519260
0519233
Stop Event
iter limit
saturated
Counts
72 → 72
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
(- (* -1 x) 16)
(- (* -1 x) 16)
(- (* -1 x) 16)
(* -1 x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(* -1 (* x (+ 1 (* 16 (/ 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)
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))))
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)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* 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)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(- (* -1 x) 16)
(-.f64 #s(literal -16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* -1 (* x (+ 1 (* 16 (/ 1 x)))))
(-.f64 #s(literal -16 binary64) x)
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
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)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
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)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))

eval319.0ms (7.5%)

Memory
-5.3MiB live, 149.6MiB allocated
Compiler

Compiled 17 144 to 1 066 computations (93.8% saved)

prune99.0ms (2.3%)

Memory
-37.5MiB live, 94.8MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New7140714
Fresh022
Picked055
Done000
Total7147721
Accuracy
100.0%
Counts
721 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
75.4%
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
56.0%
(/.f64 x #s(literal 116 binary64))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
99.9%
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
55.9%
(*.f64 #s(literal 1/116 binary64) x)
44.1%
#s(literal 4/29 binary64)
Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify4.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
cost-diff0
(fma.f64 x x #s(literal -256 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
cost-diff0
(/.f64 x #s(literal 116 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
*-lowering-*.f32
*-lowering-*.f64
accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
11330
01326
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x 116)
x
116
(/ (+ (* x x) -256) (+ (* x 116) -1856))
(+ (* x x) -256)
x
-256
(+ (* x 116) -1856)
116
-1856
Outputs
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
(/ (+ (* x x) -256) (+ (* x 116) -1856))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
(+ (* x x) -256)
(fma.f64 x x #s(literal -256 binary64))
x
-256
#s(literal -256 binary64)
(+ (* x 116) -1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
116
#s(literal 116 binary64)
-1856
#s(literal -1856 binary64)

localize29.0ms (0.7%)

Memory
22.9MiB live, 61.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x #s(literal -256 binary64))
accuracy100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
accuracy75.4%
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
accuracy100.0%
(/.f64 x #s(literal 116 binary64))
Samples
17.0ms250×0valid
1.0ms1valid
0.0ms2valid
Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (39.4% of total)
ival-mult: 3.0ms (29.6% of total)
ival-add: 2.0ms (19.7% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ x 116)>
#<alt (/ (+ (* x x) -256) (+ (* x 116) -1856))>
#<alt (+ (* x x) -256)>
#<alt (+ (* x 116) -1856)>
Outputs
#<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 -256>
#<alt (- (pow x 2) 256)>
#<alt (- (pow x 2) 256)>
#<alt (- (pow x 2) 256)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))>
#<alt -1856>
#<alt (- (* 116 x) 1856)>
#<alt (- (* 116 x) 1856)>
#<alt (- (* 116 x) 1856)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (+ (* x x) -256) (+ (* x 116) -1856))
0.0ms
x
@inf
(/ (+ (* x x) -256) (+ (* x 116) -1856))
0.0ms
x
@0
(/ (+ (* x x) -256) (+ (* x 116) -1856))
0.0ms
x
@inf
(+ (* x x) -256)
0.0ms
x
@inf
(+ (* x 116) -1856)

rewrite313.0ms (7.3%)

Memory
1.1MiB live, 546.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 930×*-lowering-*.f32
4 930×*-lowering-*.f64
3 656×accelerator-lowering-fma.f32
3 656×accelerator-lowering-fma.f64
2 968×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
16124
239924
3399424
0811920
Stop Event
iter limit
node limit
Counts
4 → 425
Calls
Call 1
Inputs
(/ x 116)
(/ (+ (* x x) -256) (+ (* x 116) -1856))
(+ (* x x) -256)
(+ (* x 116) -1856)
Outputs
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (*.f64 x #s(literal -1/116 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) x)))
(/.f64 x #s(literal 116 binary64))
(/.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 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -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 (pow.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 116 binary64) x) (/.f64 #s(literal 116 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/116 binary64))))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/116 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 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/116 binary64)))
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 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 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/116 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -1/116 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal -256 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal -256 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x x) #s(literal 13456 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x x) #s(literal 13456 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64))) (*.f64 x #s(literal 116 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64))) #s(literal 1856 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 #s(literal -256 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(+.f64 (*.f64 #s(literal -256 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 13456 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 13456 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64)))) (*.f64 #s(literal 1856 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -3444736 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) (fma.f64 x x #s(literal -256 binary64)))) #s(literal -1 binary64)))
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simplify198.0ms (4.6%)

Memory
4.0MiB live, 288.4MiB allocated
Algorithm
egg-herbie
Rules
4 060×*-lowering-*.f32
4 060×*-lowering-*.f64
3 214×accelerator-lowering-fma.f32
3 214×accelerator-lowering-fma.f64
1 436×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031192
175192
2157192
3332192
4657192
51097192
62127192
73766192
84896192
96109192
107618192
08126165
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 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))))
-256
(- (pow x 2) 256)
(- (pow x 2) 256)
(- (pow x 2) 256)
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
-1856
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
Outputs
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 binary64))
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)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(fma.f64 #s(literal 1/116 binary64) x #s(literal 0 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))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* 116 x)
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* 116 x)
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))

eval54.0ms (1.3%)

Memory
-7.1MiB live, 107.7MiB allocated
Compiler

Compiled 11 783 to 1 298 computations (89% saved)

prune51.0ms (1.2%)

Memory
-2.8MiB live, 118.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4721473
Fresh000
Picked112
Done055
Total4737480
Accuracy
100.0%
Counts
480 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
56.0%
(/.f64 x #s(literal 116 binary64))
43.5%
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
99.9%
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
55.9%
(*.f64 #s(literal 1/116 binary64) x)
44.1%
#s(literal 4/29 binary64)
Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
cost-diff0
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
Rules
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
+-lowering-+.f32
accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
1916
0914
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ -256 (+ (* x 116) -1856))
-256
(+ (* x 116) -1856)
x
116
-1856
Outputs
(/ -256 (+ (* x 116) -1856))
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
-256
#s(literal -256 binary64)
(+ (* x 116) -1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
x
116
#s(literal 116 binary64)
-1856
#s(literal -1856 binary64)

localize20.0ms (0.5%)

Memory
-2.5MiB live, 35.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
accuracy99.5%
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
Samples
12.0ms250×0valid
0.0ms1valid
0.0ms2valid
Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.4% of total)
ival-mult: 2.0ms (34.4% of total)
ival-add: 1.0ms (17.2% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/ -256 (+ (* x 116) -1856))>
#<alt (+ (* x 116) -1856)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* x (+ 1/116 (* 1/1856 x))))>
#<alt (+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)>
#<alt (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)>
#<alt (/ -64/29 x)>
#<alt (* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))>
#<alt -1856>
#<alt (- (* 116 x) 1856)>
#<alt (- (* 116 x) 1856)>
#<alt (- (* 116 x) 1856)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* x (- 116 (* 1856 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 1856 (/ 1 x)) 116)))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ -256 (+ (* x 116) -1856))
0.0ms
x
@-inf
(/ -256 (+ (* x 116) -1856))
0.0ms
x
@0
(/ -256 (+ (* x 116) -1856))
0.0ms
x
@-inf
(+ (* x 116) -1856)
0.0ms
x
@0
(+ (* x 116) -1856)

rewrite442.0ms (10.3%)

Memory
23.6MiB live, 652.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 614×/-lowering-/.f32
5 614×/-lowering-/.f64
5 476×accelerator-lowering-fma.f32
5 476×accelerator-lowering-fma.f64
4 146×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
13312
220612
3174012
0861310
Stop Event
iter limit
node limit
Counts
2 → 388
Calls
Call 1
Inputs
(/ -256 (+ (* x 116) -1856))
(+ (* x 116) -1856)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64)))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) (*.f64 x #s(literal 116 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal 1856 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(+.f64 (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))) (*.f64 #s(literal 1856 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) #s(literal -1/256 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) #s(literal -1/256 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal -215296 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) #s(literal -1/256 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 116 binary64)) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal -1/256 binary64)) (/.f64 (/.f64 #s(literal -1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal -1/256 binary64)))
(fma.f64 (*.f64 x #s(literal 116 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) (*.f64 #s(literal 1856 binary64) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(fma.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 13456 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64))) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))))
(fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64))) (*.f64 x (*.f64 x #s(literal 13456 binary64)))))
(fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) (*.f64 x #s(literal 116 binary64)) (*.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))) #s(literal 1856 binary64)))
(neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -256 binary64) (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 (/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 1856 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)) #s(literal -1/256 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)) (fma.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (-.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (*.f64 x (*.f64 x #s(literal 13456 binary64)))) (*.f64 #s(literal 181063936 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal -256 binary64) (fma.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (*.f64 (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64)) (fma.f64 x #s(literal 215296 binary64) #s(literal 3444736 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2436396322816 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (*.f64 x #s(literal -215296 binary64)))) (*.f64 #s(literal -256 binary64) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (*.f64 x #s(literal -215296 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))) (*.f64 #s(literal -256 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64) #s(literal -6393430016 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64) #s(literal 6393430016 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 13456 binary64)) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal -3444736 binary64)) (+.f64 #s(literal 3444736 binary64) (*.f64 #s(literal -13456 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1856 binary64) (*.f64 x #s(literal 116 binary64)))))

simplify324.0ms (7.6%)

Memory
-28.9MiB live, 349.6MiB allocated
Algorithm
egg-herbie
Rules
7 212×accelerator-lowering-fma.f32
7 212×accelerator-lowering-fma.f64
2 000×*-lowering-*.f32
2 000×*-lowering-*.f64
1 380×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068162
1177158
2398152
3804152
41579152
53167152
65282152
76469152
87219152
97519152
107640152
117919152
08046137
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* x (+ 1/116 (* 1/1856 x))))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/ -64/29 x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
-1856
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(- (* 116 x) 1856)
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* x (- 116 (* 1856 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
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 (* x (+ 1/116 (* 1/1856 x))))
(fma.f64 x (fma.f64 x #s(literal 1/1856 binary64) #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 1/116 (* x (+ 1/1856 (* 1/29696 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/29696 binary64) #s(literal 1/1856 binary64)) #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(/ (- (* -1 (/ (+ 1024/29 (* 16384/29 (/ 1 x))) x)) 64/29) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) (pow x 2))) (+ 64/29 (* 1024/29 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
(/ -64/29 x)
(/.f64 #s(literal -64/29 binary64) x)
(* -1 (/ (+ 64/29 (* 1024/29 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 #s(literal -1024/29 binary64) x)) x)
(* -1 (/ (+ 64/29 (+ (* 1024/29 (/ 1 x)) (/ 16384/29 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 #s(literal -1024/29 binary64) (/.f64 #s(literal -16384/29 binary64) x)) x)) x)
(* -1 (/ (+ 64/29 (* -1 (/ (- (* -1 (/ (+ 16384/29 (* 262144/29 (/ 1 x))) x)) 1024/29) x))) x))
(/.f64 (+.f64 #s(literal -64/29 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16384/29 binary64) (/.f64 #s(literal -262144/29 binary64) x)) x) #s(literal -1024/29 binary64)) x)) x)
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(- (* 116 x) 1856)
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* 116 x)
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* 116 x)
(fma.f64 x #s(literal 116 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))

eval53.0ms (1.2%)

Memory
6.0MiB live, 123.0MiB allocated
Compiler

Compiled 13 038 to 1 368 computations (89.5% saved)

prune146.0ms (3.4%)

Memory
-13.8MiB live, 106.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4120412
Fresh000
Picked011
Done066
Total4127419
Accuracy
100.0%
Counts
419 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
56.0%
(/.f64 x #s(literal 116 binary64))
43.5%
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
99.9%
(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
99.9%
(*.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -1/116 binary64))
55.9%
(*.f64 #s(literal 1/116 binary64) x)
44.1%
#s(literal 4/29 binary64)
Compiler

Compiled 76 to 50 computations (34.2% saved)

regimes10.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
9 → 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 #s(literal -16 binary64) x) #s(literal -1/116 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))
(/.f64 #s(literal -256 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
(/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64)))
Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 x #s(literal 16 binary64))
3.0ms
(/.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)

regimes9.0ms (0.2%)

Memory
-21.0MiB live, 17.8MiB 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 #s(literal -16 binary64) x) #s(literal -1/116 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:

4.0ms
x
2.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms
(+.f64 x #s(literal 16 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 (0.1%)

Memory
11.7MiB live, 11.7MiB 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 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms
(+.f64 x #s(literal 16 binary64))
Results
AccuracySegmentsBranch
96.6%3x
96.6%3(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
96.6%3(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB 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
x
1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms
(+.f64 x #s(literal 16 binary64))
Results
AccuracySegmentsBranch
44.1%1x
44.1%1(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
44.1%1(+.f64 x #s(literal 16 binary64))
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
16.000348732796418
298.7321539366638
0.0ms
-28809.85974297607
15.999367571890684
Compiler

Compiled 9 to 9 computations (0% saved)

simplify8.0ms (0.2%)

Memory
-22.2MiB live, 16.5MiB 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 -20000 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 -20000 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 -20000 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)

soundness214.0ms (5%)

Memory
-7.9MiB live, 122.2MiB 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)

preprocess34.0ms (0.8%)

Memory
30.4MiB live, 68.1MiB 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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