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

Time bar (total: 2.2s)

analyze0.0ms (0%)

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 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample465.0ms (21.5%)

Results
296.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-add: 70.0ms (47.2% of total)
ival-div: 62.0ms (41.8% of total)
const: 13.0ms (8.8% of total)
backward-pass: 3.0ms (2% of total)
Bogosity

preprocess26.0ms (1.2%)

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)
(* (- 16 x) 1/116)
(neg (/ (+ (neg x) 16) 116))
(* (- 16 x) -1/116)

explain53.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 116 binary64)
00-0-(+.f64 x #s(literal 16 binary64))
00-0-#s(literal 16 binary64)
00-0-(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
35.0ms512×0valid
Compiler

Compiled 32 to 25 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 11.0ms (67.9% of total)
ival-div: 4.0ms (24.7% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

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)

localize32.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 4 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))
accuracy100.0%
(+.f64 x #s(literal 16 binary64))
accuracy100.0%
(/.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)
Results
14.0ms256×0valid
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (52.2% of total)
ival-div: 2.0ms (34.8% of total)
const: 1.0ms (17.4% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

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)

rewrite524.0ms (24.2%)

Algorithm
batch-egg-rewrite
Rules
5334×/-lowering-/.f32
5334×/-lowering-/.f64
3418×*-lowering-*.f32
3418×*-lowering-*.f64
2760×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) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #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 (log.f64 (/.f64 #s(literal 116 binary64) (+.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 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 x x) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #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))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)))) (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -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 (+.f64 (*.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 -116 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64))))))) (/.f64 #s(literal 16777216 binary64) (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 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 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 x x) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal -16 binary64))) #s(literal 116 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #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) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (+.f64 (*.f64 #s(literal 116 binary64) x) #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 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) (+.f64 (*.f64 #s(literal 116 binary64) x) #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) (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 1/116 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal -116 binary64))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal -116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (neg.f64 (*.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 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) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))) (+.f64 (*.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) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 256 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 16777216 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4096 binary64)))))) (+.f64 (*.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) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 (+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -1856 binary64)) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (*.f64 #s(literal 1/116 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (*.f64 (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/116 binary64))))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -16777216 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 16 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (/.f64 (+.f64 (*.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)))

simplify12.0ms (0.6%)

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))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(+ 4/29 (* 1/116 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))
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))

eval110.0ms (5.1%)

Compiler

Compiled 11065 to 6500 computations (41.3% saved)

prune132.0ms (6.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4364440
Fresh000
Picked011
Done000
Total4365441
Accuracy
100.0%
Counts
441 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
48.9%
(/.f64 x #s(literal 116 binary64))
100.0%
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
48.8%
(*.f64 #s(literal 1/116 binary64) x)
53.1%
#s(literal 4/29 binary64)
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize80.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 116 binary64))
cost-diff0
(/.f64 x #s(literal -116 binary64))
cost-diff0
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
cost-diff0
(*.f64 #s(literal 1/116 binary64) x)
accuracy100.0%
(/.f64 x #s(literal 116 binary64))
accuracy100.0%
(/.f64 x #s(literal -116 binary64))
accuracy100.0%
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
accuracy99.9%
(*.f64 #s(literal 1/116 binary64) x)
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
24×--lowering--.f32
24×--lowering--.f64
24×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11219
22019
32719
43819
54819
66119
77719
88519
08518
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
4/29
(* 1/116 x)
1/116
x
(- 4/29 (/ x -116))
(/ x -116)
-116
(/ x 116)
116
Outputs
4/29
#s(literal 4/29 binary64)
(* 1/116 x)
(/.f64 x #s(literal 116 binary64))
1/116
#s(literal 1/116 binary64)
x
(- 4/29 (/ x -116))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))
(/ x -116)
(/.f64 x #s(literal -116 binary64))
-116
#s(literal -116 binary64)
(/ x 116)
(/.f64 x #s(literal 116 binary64))
116
#s(literal 116 binary64)
Results
40.0ms256×0valid
Compiler

Compiled 24 to 17 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 21.0ms (80.3% of total)
ival-mult: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (* 1/116 x)>
#<alt (- 4/29 (/ x -116))>
#<alt (/ x -116)>
#<alt (/ x 116)>
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 (* -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)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* 1/116 x)
0.0ms
x
@inf
(* 1/116 x)
0.0ms
x
@0
(* 1/116 x)
0.0ms
x
@inf
(- 4/29 (/ x -116))
0.0ms
x
@0
(- 4/29 (/ x -116))

rewrite417.0ms (19.3%)

Algorithm
batch-egg-rewrite
Rules
3430×/-lowering-/.f32
3430×/-lowering-/.f64
2446×*-lowering-*.f32
2446×*-lowering-*.f64
2002×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
14114
225314
3379214
0942013
Stop Event
iter limit
node limit
Counts
4 → 307
Calls
Call 1
Inputs
(* 1/116 x)
(- 4/29 (/ x -116))
(/ x -116)
(/ x 116)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64)))
(exp.f64 (log.f64 (/.f64 x #s(literal -116 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -116 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64)))
(neg.f64 (/.f64 x #s(literal -116 binary64)))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/116 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(literal -116 binary64))
(/.f64 x #s(literal 116 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -116 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 116 binary64))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64))))))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -116 binary64)))))))
(/.f64 (/.f64 x (/.f64 #s(literal 13456 binary64) x)) (/.f64 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 -1/116 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -116 binary64) x))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 #s(literal 116 binary64))))
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -116 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -116 binary64) x))
(pow.f64 (/.f64 x #s(literal -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 -116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -116 binary64) x)))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 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 0 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 #s(literal 1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x #s(literal -1/116 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/116 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -1/116 binary64) x)
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 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 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/116 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 -116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -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 -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -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 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #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 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)))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(+.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x))))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (neg.f64 (/.f64 x (*.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal 13456 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64)))
(-.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal -116 binary64) x)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 x (*.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 #s(literal 13456 binary64) x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
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(pow.f64 (/.f64 x #s(literal -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 -116 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -116 binary64) x)))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 0 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 0 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 #s(literal 1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/116 binary64))
(*.f64 x #s(literal -1/116 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal -116 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/116 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 #s(literal -1/116 binary64) x)
(*.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 0 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 #s(literal -1/116 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/116 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/116 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 -116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -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 -116 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -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 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #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 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%)

Algorithm
egg-herbie
Rules
52×*-lowering-*.f32
52×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012160
127160
240160
352160
452160
571160
677160
781160
881160
081151
Stop Event
iter limit
saturated
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))))
(* -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)
Outputs
(* 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))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+ 4/29 (* 1/116 x))
(+.f64 (*.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))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 (*.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))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 binary64))
(* -1/116 x)
(*.f64 x #s(literal -1/116 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)

eval76.0ms (3.5%)

Compiler

Compiled 5275 to 3841 computations (27.2% saved)

prune80.0ms (3.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3550355
Fresh000
Picked044
Done011
Total3555360
Accuracy
100.0%
Counts
360 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
48.9%
(/.f64 x #s(literal 116 binary64))
100.0%
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
48.8%
(*.f64 #s(literal 1/116 binary64) x)
53.1%
#s(literal 4/29 binary64)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes5.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 x #s(literal 116 binary64))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Outputs
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
Calls

3 calls:

2.0ms
x
1.0ms
(+.f64 x #s(literal 16 binary64))
1.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
Results
AccuracySegmentsBranch
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)

regimes4.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 x #s(literal 116 binary64))
Outputs
(/.f64 x #s(literal 116 binary64))
#s(literal 4/29 binary64)
(/.f64 x #s(literal 116 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.3%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
53.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch27.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.3120756705431217e-11
9.378220345140293e+22
10.0ms
-40.82526496323151
-5.645364922096082e-8
Results
15.0ms320×0valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.9% of total)
ival-add: 2.0ms (41.9% of total)
const: 1.0ms (20.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
5.3120756705431217e-11
9.378220345140293e+22
10.0ms
-40.82526496323151
-5.645364922096082e-8
Results
15.0ms320×0valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 6.0ms (69.9% of total)
ival-add: 2.0ms (23.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
done
Compiler

Compiled 37 to 28 computations (24.3% saved)

preprocess65.0ms (3%)

Compiler

Compiled 86 to 66 computations (23.3% saved)

end0.0ms (0%)

Profiling

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