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

Time bar (total: 2.8s)

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)

sample697.0ms (25.2%)

Results
456.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-div: 79.0ms (47.8% of total)
ival-add: 69.0ms (41.7% of total)
const: 15.0ms (9.1% of total)
backward-pass: 3.0ms (1.8% of total)
Bogosity

preprocess31.0ms (1.1%)

Algorithm
egg-herbie
Rules
240×fnmsub-define
240×fmsub-define
240×fnmadd-define
206×fmm-def
116×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12215
23815
38315
420813
542113
665312
774812
880512
985012
1088612
1189812
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)
(fnmsub x -1/116 -4/29)
(/ (+ (neg x) 16) 116)
(fnmsub x 1/116 -4/29)
(neg (/ (+ (neg x) 16) 116))
(fnmsub x -1/116 4/29)

explain87.0ms (3.2%)

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
32.0ms512×0valid
Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.3% of total)
ival-add: 3.0ms (36.2% of total)
const: 1.0ms (12.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

prune11.0ms (0.4%)

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 (0.2%)

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)

localize23.0ms (0.8%)

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))
Results
17.0ms256×0valid
Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.8% of total)
ival-add: 2.0ms (43.8% of total)
const: 1.0ms (21.9% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

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)

rewrite374.0ms (13.5%)

Algorithm
batch-egg-rewrite
Rules
5176×/-lowering-/.f32
5176×/-lowering-/.f64
3506×*-lowering-*.f32
3506×*-lowering-*.f64
1586×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058
1318
21798
314967
086147
Stop Event
iter limit
node limit
Counts
2 → 428
Calls
Call 1
Inputs
(/ (+ x 16) 116)
(+ x 16)
Outputs
(+.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 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #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 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 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 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) #s(literal 1 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 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))) #s(literal -116 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 65536 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.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)) #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 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 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) (neg.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (neg.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))) (-.f64 #s(literal -4/29 binary64) (/.f64 x #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 (*.f64 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64)))))) (/.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #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 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (*.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (*.f64 x x) #s(literal 256 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(neg.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 x #s(literal 116 binary64))))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 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 #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 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.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 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 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) (+.f64 (*.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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 (*.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 (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))) (+.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 (*.f64 x (*.f64 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 #s(literal -1 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 #s(literal 0 binary64) (+.f64 (*.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 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal 1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16 binary64) x) (*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) #s(literal 1/116 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 (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))) (*.f64 (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -16 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))) #s(literal -1/116 binary64))))
(/.f64 #s(literal 1/116 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (+.f64 x #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 116 binary64) (-.f64 #s(literal -16 binary64) x)))
(/.f64 (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 #s(literal 116 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
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(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal 16 binary64)))))
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(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -16 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -65536 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 256 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #s(literal 68719476736 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #s(literal 68719476736 binary64)) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #s(literal 68719476736 binary64)) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (-.f64 (+.f64 #s(literal 256 binary64) (*.f64 x #s(literal -16 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (*.f64 x #s(literal 16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (+.f64 (*.f64 x x) #s(literal -256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 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 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal -16 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 (*.f64 x x) #s(literal -256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (+.f64 x #s(literal -16 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal -16777216 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #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 x (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x x))) #s(literal 65536 binary64)) (*.f64 x (*.f64 x #s(literal 256 binary64))))) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 (*.f64 x x) #s(literal -256 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 x (*.f64 x (*.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (+.f64 #s(literal -4096 binary64) (*.f64 #s(literal -1 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 x (*.f64 x (*.f64 x x))) #s(literal -65536 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 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 x (*.f64 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 (*.f64 x x) #s(literal -256 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 -4096 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 0 binary64) (+.f64 (*.f64 x x) #s(literal -256 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) 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 (0.4%)

Algorithm
egg-herbie
Rules
72×*-lowering-*.f32
72×*-lowering-*.f64
64×fma-define
52×fma-lowering-fma.f32
52×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01582
14273
28173
317573
417773
518473
618973
718973
018973
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))

eval85.0ms (3.1%)

Compiler

Compiled 11946 to 1307 computations (89.1% saved)

prune54.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4484452
Fresh000
Picked011
Done000
Total4485453
Accuracy
100.0%
Counts
453 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)))
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
46.6%
(/.f64 x #s(literal 116 binary64))
100.0%
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
54.8%
#s(literal 4/29 binary64)
Compiler

Compiled 30 to 24 computations (20% saved)

simplify133.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 256 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)))
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)))
Rules
3038×fnmadd-define
2078×fma-define
1344×fnmsub-define
1232×fma-lowering-fma.f32
1232×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01448
12848
26946
315244
440143
597043
6299943
7472343
8585243
9781943
0810543
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
4/29
(- 4/29 (/ x -116))
4/29
(/ x -116)
x
-116
(/ x 116)
x
116
(/ (- 256 (* x x)) (* 116 (- 16 x)))
(- 256 (* x x))
256
(* x x)
x
(* 116 (- 16 x))
116
(- 16 x)
16
Outputs
4/29
#s(literal 4/29 binary64)
(- 4/29 (/ x -116))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))
4/29
#s(literal 4/29 binary64)
(/ x -116)
(/.f64 x #s(literal -116 binary64))
x
-116
#s(literal -116 binary64)
(/ x 116)
(/.f64 x #s(literal 116 binary64))
x
116
#s(literal 116 binary64)
(/ (- 256 (* x x)) (* 116 (- 16 x)))
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64))))
(- 256 (* x x))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
256
#s(literal 256 binary64)
(* x x)
(*.f64 x x)
x
(* 116 (- 16 x))
(*.f64 #s(literal -116 binary64) (+.f64 x #s(literal -16 binary64)))
116
#s(literal 116 binary64)
(- 16 x)
(-.f64 #s(literal 16 binary64) x)
16
#s(literal 16 binary64)

localize56.0ms (2%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 16 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x))
accuracy79.4%
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 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)))
Results
40.0ms255×0valid
0.0ms2valid
Compiler

Compiled 50 to 15 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (34% of total)
ival-mult: 5.0ms (24.3% of total)
ival-sub: 4.0ms (19.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (19.4% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (- 4/29 (/ x -116))>
#<alt (/ x -116)>
#<alt (/ x 116)>
#<alt (/ (- 256 (* x x)) (* 116 (- 16 x)))>
#<alt (- 256 (* x x))>
#<alt (* x x)>
#<alt (* 116 (- 16 x))>
#<alt (- 16 x)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* -1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt (* 1/116 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (+ 4/29 (* 1/116 x))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* 1/116 x)>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1/116 (* 4/29 (/ 1 x))))>
#<alt 256>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (+ 256 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1856>
#<alt (+ 1856 (* -116 x))>
#<alt (+ 1856 (* -116 x))>
#<alt (+ 1856 (* -116 x))>
#<alt (* -116 x)>
#<alt (* x (- (* 1856 (/ 1 x)) 116))>
#<alt (* x (- (* 1856 (/ 1 x)) 116))>
#<alt (* x (- (* 1856 (/ 1 x)) 116))>
#<alt (* -116 x)>
#<alt (* -1 (* x (- 116 (* 1856 (/ 1 x)))))>
#<alt (* -1 (* x (- 116 (* 1856 (/ 1 x)))))>
#<alt (* -1 (* x (- 116 (* 1856 (/ 1 x)))))>
#<alt 16>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (+ 16 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* x (- (* 16 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 16 (/ 1 x)))))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x x)
0.0ms
x
@inf
(/ x -116)
0.0ms
x
@0
(/ (- 256 (* x x)) (* 116 (- 16 x)))
0.0ms
x
@inf
(/ (- 256 (* x x)) (* 116 (- 16 x)))
0.0ms
x
@-inf
(/ (- 256 (* x x)) (* 116 (- 16 x)))

rewrite324.0ms (11.7%)

Algorithm
batch-egg-rewrite
Rules
4592×*-lowering-*.f32
4592×*-lowering-*.f64
4384×/-lowering-/.f32
4384×/-lowering-/.f64
1658×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01438
19232
267030
0884830
Stop Event
iter limit
node limit
Counts
8 → 544
Calls
Call 1
Inputs
(- 4/29 (/ x -116))
(/ x -116)
(/ x 116)
(/ (- 256 (* x x)) (* 116 (- 16 x)))
(- 256 (* x x))
(* x x)
(* 116 (- 16 x))
(- 16 x)
Outputs
(+.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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -116 binary64)) #s(literal 4/29 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))))
(neg.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal -13456 binary64) x))) (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -16/841 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal -13456 binary64) x))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))))
(/.f64 (+.f64 #s(literal -64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(/.f64 (+.f64 #s(literal -16/841 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64))) (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (*.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (/.f64 (*.f64 x x) #s(literal 13456 binary64)))) (*.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 262144/14507145975869 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal -3802961274698203136 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4096/594823321 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) #s(literal 64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 4096/594823321 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2436396322816 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64))) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 4096/594823321 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2436396322816 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) #s(literal 16/841 binary64)))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 256/707281 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 181063936 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64))) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -16/841 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64)))) (neg.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64)) #s(literal 64/24389 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))) (*.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) #s(literal 16/841 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))) (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))) (+.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 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 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) (*.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))))) (+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 16/841 binary64) (/.f64 x (/.f64 #s(literal -13456 binary64) x))) #s(literal 1 binary64)) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 262144/14507145975869 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal -3802961274698203136 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))) (+.f64 #s(literal 4096/594823321 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64)) #s(literal 64/24389 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4096/594823321 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2436396322816 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x))))) (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1560896 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 4096/594823321 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2436396322816 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 13456 binary64)) #s(literal 16/841 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 256/707281 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 181063936 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64))))) (+.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 x x) #s(literal 13456 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 64/24389 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1560896 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 116 binary64)) #s(literal -4/29 binary64)) (/.f64 #s(literal 116 binary64) x)))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))) #s(literal -65536 binary64)) (+.f64 x #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -256 binary64)) (+.f64 x #s(literal 16 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 68719476736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)))) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 4096 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 256 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64)))) (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))) (*.f64 (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64))))) (+.f64 (/.f64 #s(literal 256 binary64) (+.f64 x #s(literal 16 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 16 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))))) (+.f64 (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal 65536 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 256 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal 256 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))) #s(literal -65536 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -256 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 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 (*.f64 (-.f64 #s(literal 68719476736 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))) (+.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 x #s(literal 16 binary64))) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x #s(literal 16 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -16 binary64))))
(*.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x))))))))
(*.f64 (-.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 256 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(*.f64 (-.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 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal -16 binary64) x))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) x))
(*.f64 (-.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 256 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 65536 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 16 binary64))) (-.f64 #s(literal 256 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 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 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (-.f64 #s(literal 256 binary64) (*.f64 x x))) (-.f64 #s(literal 16 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (+.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 256 binary64) (*.f64 x (-.f64 x #s(literal 16 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 16777216 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 16 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 16 binary64))) (*.f64 x (+.f64 x #s(literal 16 binary64))))))) (+.f64 #s(literal 65536 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 16 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 16 binary64))) #s(literal 256 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 4096 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 65536 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 16 binary64))) (*.f64 x (+.f64 x #s(literal 16 binary64)))))) (-.f64 #s(literal 256 binary64) (*.f64 x (+.f64 x #s(literal 16 binary64)))))

simplify151.0ms (5.4%)

Algorithm
egg-herbie
Rules
1698×fmsub-define
1638×fnmsub-define
1604×fma-lowering-fma.f32
1604×fma-lowering-fma.f64
1384×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042368
1111314
2241314
3571314
41047314
51859314
63921314
76998314
08257314
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* -1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
(* 1/116 x)
4/29
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(+ 4/29 (* 1/116 x))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
256
(+ 256 (* -1 (pow x 2)))
(+ 256 (* -1 (pow x 2)))
(+ 256 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1856
(+ 1856 (* -116 x))
(+ 1856 (* -116 x))
(+ 1856 (* -116 x))
(* -116 x)
(* x (- (* 1856 (/ 1 x)) 116))
(* x (- (* 1856 (/ 1 x)) 116))
(* x (- (* 1856 (/ 1 x)) 116))
(* -116 x)
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
16
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(+ 16 (* -1 x))
(* -1 x)
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* x (- (* 16 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* x (- 1 (* 16 (/ 1 x)))))
(* -1 (* 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 x #s(literal -1/116 binary64)))
(+ 4/29 (* 1/116 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(+ 4/29 (* 1/116 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.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 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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(+ 4/29 (* 1/116 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(+ 4/29 (* 1/116 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -1/116 binary64)))
256
#s(literal 256 binary64)
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(+ 256 (* -1 (pow x 2)))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(* (pow x 2) (- (* 256 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 256 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1856
#s(literal 1856 binary64)
(+ 1856 (* -116 x))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(+ 1856 (* -116 x))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(+ 1856 (* -116 x))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* x (- (* 1856 (/ 1 x)) 116))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* x (- (* 1856 (/ 1 x)) 116))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* x (- (* 1856 (/ 1 x)) 116))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* -116 x)
(*.f64 x #s(literal -116 binary64))
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
(* -1 (* x (- 116 (* 1856 (/ 1 x)))))
(-.f64 #s(literal 1856 binary64) (*.f64 x #s(literal 116 binary64)))
16
#s(literal 16 binary64)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(+ 16 (* -1 x))
(-.f64 #s(literal 16 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.f64 #s(literal 16 binary64) x)
(* x (- (* 16 (/ 1 x)) 1))
(-.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)

eval76.0ms (2.7%)

Compiler

Compiled 15208 to 1668 computations (89% saved)

prune139.0ms (5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New6400640
Fresh000
Picked044
Done011
Total6405645
Accuracy
100.0%
Counts
645 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)))
100.0%
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
46.6%
(/.f64 x #s(literal 116 binary64))
100.0%
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
54.8%
#s(literal 4/29 binary64)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes8.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(/.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))
(/.f64 (-.f64 #s(literal 256 binary64) (*.f64 x x)) (*.f64 #s(literal 116 binary64) (-.f64 #s(literal 16 binary64) x)))
Outputs
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
Calls

3 calls:

3.0ms
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms
x
2.0ms
(+.f64 x #s(literal 16 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)

regimes2.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(/.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:

1.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

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:

1.0ms
x
Results
AccuracySegmentsBranch
54.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.3363961498030656
1231.0201916330054
11.0ms
-734250.6677821883
-0.00022089140164111118
Results
11.0ms272×0valid
Compiler

Compiled 146 to 127 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.2% of total)
ival-add: 2.0ms (48.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11819
22719
33319
43819
54019
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))
#s(literal 4/29 binary64)
Outputs
(-.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal -116 binary64)))
(if (<=.f64 x #s(literal -16 binary64)) (/.f64 x #s(literal 116 binary64)) (if (<=.f64 x #s(literal 16 binary64)) #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))
#s(literal 4/29 binary64)

soundness436.0ms (15.8%)

Rules
5176×/-lowering-/.f32
5176×/-lowering-/.f64
3506×*-lowering-*.f32
3506×*-lowering-*.f64
1586×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01582
14273
28173
317573
417773
518473
618973
718973
018973
058
1318
21798
314967
086147
Stop Event
done
iter limit
node limit
iter limit
saturated
Compiler

Compiled 36 to 25 computations (30.6% saved)

preprocess26.0ms (0.9%)

Compiler

Compiled 56 to 36 computations (35.7% saved)

end0.0ms (0%)

Profiling

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