Data.Colour.CIE:cieLABView from colour-2.3.3, A

Time bar (total: 6.1s)

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 11 to 10 computations (9.1% 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)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample970.0ms (15.9%)

Results
538.0ms8253×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 352.0ms
ival-div: 175.0ms (49.8% of total)
ival-mult: 97.0ms (27.6% of total)
ival-add: 56.0ms (15.9% of total)
const: 21.0ms (6% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess46.0ms (0.7%)

Algorithm
egg-herbie
Rules
148×fmsub-define
148×fnmadd-define
144×fnmsub-define
94×fmm-def
64×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
13213
26712
315312
426212
538512
647712
750112
851512
951912
0114
1144
2154
0154
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* (/ 841 108) x) (/ 4 29))
Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
Call 2
Inputs
(+ (* (/ 841 108) x) (/ 4 29))
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))
Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(fnmsub x -841/108 -4/29)
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(fnmsub 841/108 x -4/29)
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))
(fnmsub x -841/108 4/29)

explain86.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 29 binary64)
00-0-(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
00-0-(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
00-0-#s(literal 841 binary64)
00-0-(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
00-0-#s(literal 108 binary64)
Results
51.0ms512×0valid
Compiler

Compiled 64 to 29 computations (54.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 20.0ms (69.6% of total)
ival-mult: 4.0ms (13.9% of total)
ival-add: 3.0ms (10.4% of total)
const: 1.0ms (3.5% 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
99.8%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1810
2910
0910
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* 841/108 x) 4/29)
(* 841/108 x)
841/108
x
4/29
Outputs
(+ (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
4/29
#s(literal 4/29 binary64)

localize28.0ms (0.5%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
Results
21.0ms256×0valid
Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
...c/correct-round.rkt:119:19: 7.0ms (63.8% of total)
ival-mult: 2.0ms (18.2% of total)
ival-add: 1.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (+ (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* 841/108 x) 4/29)
0.0ms
x
@-inf
(* 841/108 x)
0.0ms
x
@0
(* 841/108 x)
0.0ms
x
@inf
(* 841/108 x)
0.0ms
x
@0
(+ (* 841/108 x) 4/29)

rewrite338.0ms (5.5%)

Algorithm
batch-egg-rewrite
Rules
4122×/-lowering-/.f32
4122×/-lowering-/.f64
3440×*-lowering-*.f32
3440×*-lowering-*.f64
1716×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1237
21577
314167
081457
Stop Event
iter limit
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(+ (* 841/108 x) 4/29)
(* 841/108 x)
Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))) (/.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -29/27 binary64)))) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64)))))) (/.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64)))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 16/841 binary64)) #s(literal 29/4 binary64))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 #s(literal 841/108 binary64) (*.f64 x x)) (/.f64 #s(literal 841/108 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
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(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
44×*-lowering-*.f32
44×*-lowering-*.f64
40×fma-define
28×fma-lowering-fma.f32
28×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01088
12579
24679
36879
46879
58379
69179
79779
89979
09979
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval24.0ms (0.4%)

Compiler

Compiled 6893 to 558 computations (91.9% saved)

prune41.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New19910209
Fresh000
Picked011
Done000
Total19911210
Accuracy
100.0%
Counts
210 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
99.3%
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
72.1%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
72.8%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
99.8%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
72.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
54.2%
(*.f64 (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
72.8%
(*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
59.3%
(*.f64 #s(literal 841/108 binary64) x)
41.2%
#s(literal 4/29 binary64)
Compiler

Compiled 302 to 221 computations (26.8% saved)

simplify179.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff0
(+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -256/707281 binary64))
cost-diff128
(*.f64 (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
Rules
1954×fma-define
1376×*-lowering-*.f32
1376×*-lowering-*.f64
1268×fma-lowering-fma.f32
1268×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035187
192175
2238175
3633175
41489175
52445175
63305175
73456175
83506175
93646175
103658175
113658175
123682175
133707175
143725175
153728175
163728175
173798175
183848175
193850175
03850175
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
1
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(* 841/108 x)
841/108
x
4/29
4/29
(/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))
(+ 16/841 (* -707281/11664 (* x x)))
16/841
(* -707281/11664 (* x x))
-707281/11664
(* x x)
x
(+ 4/29 (* x -841/108))
4/29
(* x -841/108)
-841/108
(* (/ 1 (+ (* 841/108 x) -4/29)) (+ (* x (* x 707281/11664)) -16/841))
(/ 1 (+ (* 841/108 x) -4/29))
1
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
x
-4/29
(+ (* x (* x 707281/11664)) -16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
707281/11664
-16/841
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(* 500246412961/136048896 (* (* x x) (* x x)))
500246412961/136048896
(* (* x x) (* x x))
(* x x)
x
-256/707281
(/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841)))
1
(* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
-4/29
(+ (* x (* x 707281/11664)) 16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
707281/11664
16/841
Outputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* 841/108 x) 4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(+ (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
4/29
#s(literal 4/29 binary64)
4/29
#s(literal 4/29 binary64)
(/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(+ 16/841 (* -707281/11664 (* x x)))
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
16/841
#s(literal 16/841 binary64)
(* -707281/11664 (* x x))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
-707281/11664
#s(literal -707281/11664 binary64)
(* x x)
(*.f64 x x)
x
(+ 4/29 (* x -841/108))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
4/29
#s(literal 4/29 binary64)
(* x -841/108)
(*.f64 x #s(literal -841/108 binary64))
-841/108
#s(literal -841/108 binary64)
(* (/ 1 (+ (* 841/108 x) -4/29)) (+ (* x (* x 707281/11664)) -16/841))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(/ 1 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
x
-4/29
#s(literal -4/29 binary64)
(+ (* x (* x 707281/11664)) -16/841)
(+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* x (* x 707281/11664))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
-16/841
#s(literal -16/841 binary64)
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
(/.f64 (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -256/707281 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (* (* x x) (* x x)))
(*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
500246412961/136048896
#s(literal 500246412961/136048896 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
-256/707281
#s(literal -256/707281 binary64)
(/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
1
#s(literal 1 binary64)
(* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))
(*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(+ (* 841/108 x) -4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
841/108
#s(literal 841/108 binary64)
-4/29
#s(literal -4/29 binary64)
(+ (* x (* x 707281/11664)) 16/841)
(+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(* x (* x 707281/11664))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
16/841
#s(literal 16/841 binary64)

localize196.0ms (3.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x #s(literal 707281/11664 binary64))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64))))
accuracy56.0%
(*.f64 (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
accuracy99.8%
(*.f64 x #s(literal 707281/11664 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
accuracy72.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
accuracy100.0%
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
accuracy99.8%
(*.f64 x #s(literal -841/108 binary64))
accuracy99.7%
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy72.7%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
accuracy100.0%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
Results
118.0ms256×0valid
Compiler

Compiled 239 to 36 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
...c/correct-round.rkt:119:19: 35.0ms (46.6% of total)
ival-mult: 21.0ms (28% of total)
ival-div: 9.0ms (12% of total)
ival-add: 9.0ms (12% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* 841/108 x) 4/29)))>
#<alt (/ 1 (+ (* 841/108 x) 4/29))>
#<alt (+ (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))>
#<alt (+ 16/841 (* -707281/11664 (* x x)))>
#<alt (* -707281/11664 (* x x))>
#<alt (* x x)>
#<alt (* (/ 1 (+ (* 841/108 x) -4/29)) (+ (* x (* x 707281/11664)) -16/841))>
#<alt (/ 1 (+ (* 841/108 x) -4/29))>
#<alt (+ (* 841/108 x) -4/29)>
#<alt (* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))>
#<alt (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)>
#<alt (* 500246412961/136048896 (* (* x x) (* x x)))>
#<alt (* (* x x) (* x x))>
#<alt (* x -841/108)>
#<alt (+ 4/29 (* x -841/108))>
#<alt (* x 707281/11664)>
#<alt (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841)))>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (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 (pow x 2)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -29/4>
#<alt (- (* -707281/1728 x) 29/4)>
#<alt (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)>
#<alt (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -256/707281>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (- (* 500246412961/136048896 (pow x 4)) 256/707281)>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (* 500246412961/136048896 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt -24389/64>
#<alt (- (* -594823321/27648 x) 24389/64)>
#<alt (- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)>
#<alt (- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)>
#<alt (/ 1259712/594823321 (pow x 3))>
#<alt (/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))>
#<alt (/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))>
#<alt (/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))>
#<alt (/ 1259712/594823321 (pow x 3))>
#<alt (/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))>
Calls

57 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
1.0ms
x
@-inf
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
1.0ms
x
@0
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
1.0ms
x
@inf
(+ 16/841 (* -707281/11664 (* x x)))
0.0ms
x
@0
(/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))

rewrite1.0s (16.9%)

Algorithm
batch-egg-rewrite
Rules
2896×fma-lowering-fma.f32
2896×fma-lowering-fma.f64
2436×*-lowering-*.f32
2436×*-lowering-*.f64
2190×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03586
121183
2179783
0861583
Stop Event
iter limit
node limit
Counts
19 → 1693
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(* 841/108 x)
(/ (+ 16/841 (* -707281/11664 (* x x))) (+ 4/29 (* x -841/108)))
(+ 16/841 (* -707281/11664 (* x x)))
(* -707281/11664 (* x x))
(* x x)
(* (/ 1 (+ (* 841/108 x) -4/29)) (+ (* x (* x 707281/11664)) -16/841))
(/ 1 (+ (* 841/108 x) -4/29))
(+ (* 841/108 x) -4/29)
(* (+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281) (/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841))))
(+ (* 500246412961/136048896 (* (* x x) (* x x))) -256/707281)
(* 500246412961/136048896 (* (* x x) (* x x)))
(* (* x x) (* x x))
(* x -841/108)
(+ 4/29 (* x -841/108))
(* x 707281/11664)
(/ 1 (* (+ (* 841/108 x) -4/29) (+ (* x (* x 707281/11664)) 16/841)))
Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 x) #s(literal -841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(+.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -256/707281 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -256/707281 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 4/29 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) (*.f64 #s(literal -256/707281 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(+.f64 (*.f64 #s(literal -256/707281 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(exp.f64 (log.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 #s(literal 4/29 binary64) (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))) (/.f64 (/.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
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(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64)))) (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(*.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x #s(literal -841/108 binary64)) (-.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))))))
(*.f64 x #s(literal 707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (pow.f64 (-.f64 #s(literal 16/841 binary64) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))))
(*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 #s(literal 4096/594823321 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353814783205469041/1586874322944 binary64))))) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -256/707281 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))

simplify422.0ms (6.9%)

Algorithm
egg-herbie
Rules
2684×*-lowering-*.f32
2684×*-lowering-*.f64
1592×fma-lowering-fma.f32
1592×fma-lowering-fma.f64
1474×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891140
15181017
212481012
329571007
474721007
085061007
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (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)
(pow x 2)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-29/4
(- (* -707281/1728 x) 29/4)
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-256/707281
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(* 500246412961/136048896 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-24389/64
(- (* -594823321/27648 x) 24389/64)
(- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)
(- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)
(/ 1259712/594823321 (pow x 3))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))
(/ 1259712/594823321 (pow x 3))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
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(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -707281/1728 binary64)))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x #s(literal 17249876309/746496 binary64)))))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(+.f64 #s(literal 29/4 binary64) (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x (+.f64 #s(literal 17249876309/746496 binary64) (*.f64 x #s(literal -420707233300201/322486272 binary64)))))))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal -20155392/500246412961 binary64)) x)) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal -20155392/500246412961 binary64)) x)) x)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
-29/4
#s(literal -29/4 binary64)
(- (* -707281/1728 x) 29/4)
(+.f64 (*.f64 x #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64))
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x #s(literal -17249876309/746496 binary64)))) #s(literal -29/4 binary64))
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -420707233300201/322486272 binary64)) #s(literal -17249876309/746496 binary64))))) #s(literal -29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x))) x)))) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x))) x)) x)) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
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(- (* 841/108 x) 4/29)
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4/29
#s(literal 4/29 binary64)
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-256/707281
#s(literal -256/707281 binary64)
(- (* 500246412961/136048896 (pow x 4)) 256/707281)
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(- (* 500246412961/136048896 (pow x 4)) 256/707281)
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(- (* 500246412961/136048896 (pow x 4)) 256/707281)
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(* 500246412961/136048896 (pow x 4))
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(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))
(* (pow x 4) (- 500246412961/136048896 (* 256/707281 (/ 1 (pow x 4)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(* 500246412961/136048896 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* -841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* -841/108 x))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
-24389/64
#s(literal -24389/64 binary64)
(- (* -594823321/27648 x) 24389/64)
(+.f64 (*.f64 x #s(literal -594823321/27648 binary64)) #s(literal -24389/64 binary64))
(- (* x (- (* -8629188747598184440949/2229025112064 (pow x 3)) 594823321/27648)) 24389/64)
(+.f64 (*.f64 x (+.f64 #s(literal -594823321/27648 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8629188747598184440949/2229025112064 binary64))))) #s(literal -24389/64 binary64))
(- (* x (- (* (pow x 3) (- (* -210457284365172120330305161/962938848411648 x) 8629188747598184440949/2229025112064)) 594823321/27648)) 24389/64)
(+.f64 (*.f64 x (+.f64 #s(literal -594823321/27648 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -8629188747598184440949/2229025112064 binary64) (*.f64 x #s(literal -210457284365172120330305161/962938848411648 binary64)))))) #s(literal -24389/64 binary64))
(/ 1259712/594823321 (pow x 3))
(/.f64 (/.f64 #s(literal 1259712/594823321 binary64) x) (*.f64 x x))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal 544195584/14507145975869 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (* 544195584/14507145975869 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (+.f64 (/.f64 #s(literal 544195584/14507145975869 binary64) x) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x x)))
(/ (+ 1259712/594823321 (+ (/ 43873901280755712/210457284365172120330305161 (pow x 4)) (+ (* 544195584/14507145975869 (/ 1 x)) (* 18953525353286467584/5132842708382182842735812571629 (/ 1 (pow x 5)))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 1259712/594823321 binary64) (+.f64 (/.f64 #s(literal 544195584/14507145975869 binary64) x) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 18953525353286467584/5132842708382182842735812571629 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 x (*.f64 x x)))
(/ 1259712/594823321 (pow x 3))
(/.f64 (/.f64 #s(literal 1259712/594823321 binary64) x) (*.f64 x x))
(/ (+ 1259712/594823321 (* 544195584/14507145975869 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 #s(literal 544195584/14507145975869 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3)))) x)) 1259712/594823321) (pow x 3)))
(/.f64 (+.f64 #s(literal 1259712/594823321 binary64) (/.f64 (+.f64 #s(literal 544195584/14507145975869 binary64) (/.f64 #s(literal 43873901280755712/210457284365172120330305161 binary64) (*.f64 x (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (+ 544195584/14507145975869 (+ (/ 18953525353286467584/5132842708382182842735812571629 (pow x 4)) (* 43873901280755712/210457284365172120330305161 (/ 1 (pow x 3))))) x)) 1259712/594823321) (pow x 3)))
(/.f64 (-.f64 #s(literal 1259712/594823321 binary64) (/.f64 (-.f64 (+.f64 #s(literal -544195584/14507145975869 binary64) (/.f64 #s(literal -43873901280755712/210457284365172120330305161 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 18953525353286467584/5132842708382182842735812571629 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) (*.f64 x (*.f64 x x)))

eval492.0ms (8%)

Compiler

Compiled 63582 to 2663 computations (95.8% saved)

prune196.0ms (3.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New205352058
Fresh325
Picked235
Done011
Total2058112069
Accuracy
100.0%
Counts
2069 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
63.1%
(/.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
72.8%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
31.9%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x))
59.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
59.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
99.8%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
59.3%
(*.f64 #s(literal 841/108 binary64) x)
41.2%
#s(literal 4/29 binary64)
Compiler

Compiled 204 to 158 computations (22.5% saved)

simplify255.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
cost-diff0
(/.f64 #s(literal -46656/20511149 binary64) x)
cost-diff0
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
cost-diff0
(/.f64 #s(literal 108/841 binary64) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
Rules
5008×*-lowering-*.f32
5008×*-lowering-*.f64
2370×/-lowering-/.f32
2370×/-lowering-/.f64
2214×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030121
160115
2102113
3191113
4353113
5455113
6547113
7669113
8865113
91079113
102064113
113449113
123974113
134682113
145444113
155757113
166175113
08373113
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 (+ (* 841/108 x) -4/29)) (/ 1 (+ (* x (* x 707281/11664)) -16/841)))
(/ 1 (+ (* 841/108 x) -4/29))
1
(+ (* 841/108 x) -4/29)
(* 841/108 x)
841/108
x
-4/29
(/ 1 (+ (* x (* x 707281/11664)) -16/841))
(+ (* x (* x 707281/11664)) -16/841)
(* x (* x 707281/11664))
(* x 707281/11664)
707281/11664
-16/841
(* 841/108 x)
841/108
x
(/ 1 (/ 108/841 x))
1
(/ 108/841 x)
108/841
x
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
1
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
108/841
(/ -46656/20511149 x)
-46656/20511149
x
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
(+ 16/841 (* -707281/11664 (* x x)))
16/841
(* -707281/11664 (* x x))
-707281/11664
(* x x)
x
(* x -841/108)
-841/108
Outputs
(/ (/ 1 (+ (* 841/108 x) -4/29)) (/ 1 (+ (* x (* x 707281/11664)) -16/841)))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))
(/ 1 (+ (* 841/108 x) -4/29))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* 841/108 x) -4/29)
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
(* 841/108 x)
(/.f64 x #s(literal 108/841 binary64))
841/108
#s(literal 841/108 binary64)
x
-4/29
#s(literal -4/29 binary64)
(/ 1 (+ (* x (* x 707281/11664)) -16/841))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
(+ (* x (* x 707281/11664)) -16/841)
(+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))
(* x (* x 707281/11664))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* x 707281/11664)
(*.f64 x #s(literal 707281/11664 binary64))
707281/11664
#s(literal 707281/11664 binary64)
-16/841
#s(literal -16/841 binary64)
(* 841/108 x)
(/.f64 x #s(literal 108/841 binary64))
841/108
#s(literal 841/108 binary64)
x
(/ 1 (/ 108/841 x))
(/.f64 x #s(literal 108/841 binary64))
1
#s(literal 1 binary64)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
108/841
#s(literal 108/841 binary64)
x
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
(/.f64 x (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)))
1
#s(literal 1 binary64)
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(+ 108/841 (/ -46656/20511149 x))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
-46656/20511149
#s(literal -46656/20511149 binary64)
x
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
(/.f64 (+.f64 (*.f64 x #s(literal -707281/11664 binary64)) (*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -841/108 binary64))
(+ 16/841 (* -707281/11664 (* x x)))
(+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
16/841
#s(literal 16/841 binary64)
(* -707281/11664 (* x x))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
-707281/11664
#s(literal -707281/11664 binary64)
(* x x)
(*.f64 x x)
x
(* x -841/108)
(*.f64 x #s(literal -841/108 binary64))
-841/108
#s(literal -841/108 binary64)

localize173.0ms (2.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
accuracy99.8%
(*.f64 x #s(literal -841/108 binary64))
accuracy99.7%
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy72.4%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
accuracy100.0%
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
accuracy99.6%
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
accuracy99.1%
(/.f64 #s(literal -46656/20511149 binary64) x)
accuracy99.6%
(/.f64 #s(literal 108/841 binary64) x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))
accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
accuracy73.2%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
Results
130.0ms256×0valid
Compiler

Compiled 141 to 31 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
...c/correct-round.rkt:119:19: 29.0ms (46.3% of total)
ival-div: 16.0ms (25.5% of total)
ival-mult: 11.0ms (17.6% of total)
ival-add: 5.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/ (/ 1 (+ (* 841/108 x) -4/29)) (/ 1 (+ (* x (* x 707281/11664)) -16/841)))>
#<alt (/ 1 (+ (* 841/108 x) -4/29))>
#<alt (+ (* 841/108 x) -4/29)>
#<alt (* 841/108 x)>
#<alt (/ 1 (/ 108/841 x))>
#<alt (/ 108/841 x)>
#<alt (/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))>
#<alt (/ (+ 108/841 (/ -46656/20511149 x)) x)>
#<alt (+ 108/841 (/ -46656/20511149 x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))>
#<alt (+ 16/841 (* -707281/11664 (* x x)))>
#<alt (* -707281/11664 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (+ (* x (* x 707281/11664)) -16/841))>
#<alt (* x -841/108)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -29/4>
#<alt (- (* -707281/1728 x) 29/4)>
#<alt (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)>
#<alt (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)>
#<alt (/ 108/841 x)>
#<alt (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (* -20511149/46656 (pow x 2))>
#<alt (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))>
#<alt (/ -46656/20511149 (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ (- (* 108/841 x) 46656/20511149) (pow x 2))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -46656/20511149 x)>
#<alt (/ -1728/707281 x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (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 (pow x 2)>
#<alt -841/16>
#<alt (- (* -500246412961/2985984 (pow x 2)) 841/16)>
#<alt (- (* (pow x 2) (- (* -297558232675799463481/557256278016 (pow x 2)) 500246412961/2985984)) 841/16)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -176994576151109753197786640401/103997395628457984 (pow x 2)) 297558232675799463481/557256278016)) 500246412961/2985984)) 841/16)>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 11664/707281 (pow x 2))>
#<alt (/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (+ (* x (* x 707281/11664)) -16/841))
0.0ms
x
@inf
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
0.0ms
x
@0
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
0.0ms
x
@-inf
(/ (+ 108/841 (/ -46656/20511149 x)) x)
0.0ms
x
@0
(/ -46656/20511149 x)

rewrite329.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
3624×/-lowering-/.f32
3624×/-lowering-/.f64
3254×*-lowering-*.f32
3254×*-lowering-*.f64
1448×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03086
117773
2133673
0846773
Stop Event
iter limit
node limit
Counts
16 → 646
Calls
Call 1
Inputs
(/ (/ 1 (+ (* 841/108 x) -4/29)) (/ 1 (+ (* x (* x 707281/11664)) -16/841)))
(/ 1 (+ (* 841/108 x) -4/29))
(+ (* 841/108 x) -4/29)
(* 841/108 x)
(/ 1 (/ 108/841 x))
(/ 108/841 x)
(/ 1 (/ (+ 108/841 (/ -46656/20511149 x)) x))
(/ (+ 108/841 (/ -46656/20511149 x)) x)
(+ 108/841 (/ -46656/20511149 x))
(/ -46656/20511149 x)
(/ (+ 16/841 (* -707281/11664 (* x x))) (* x -841/108))
(+ 16/841 (* -707281/11664 (* x x)))
(* -707281/11664 (* x x))
(* x x)
(/ 1 (+ (* x (* x 707281/11664)) -16/841))
(* x -841/108)
Outputs
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(+.f64 (/.f64 #s(literal -16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal -64/24389 binary64) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -16/841 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) #s(literal -16/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -4096/594823321 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal -841/729 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) #s(literal -256/707281 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 108/841 binary64)))
(neg.f64 (/.f64 x #s(literal 108/841 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal 1 binary64)))
(/.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -108/841 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 x #s(literal -841/108 binary64))
(*.f64 #s(literal -841/108 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 108/841 binary64)))
(*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64))

simplify307.0ms (5%)

Algorithm
egg-herbie
Rules
2154×fma-lowering-fma.f32
2154×fma-lowering-fma.f64
1932×*-lowering-*.f32
1932×*-lowering-*.f64
1542×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01981038
1507920
21187904
32698883
45691881
08018881
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-29/4
(- (* -707281/1728 x) 29/4)
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/ 108/841 x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(* -20511149/46656 (pow x 2))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(/ -46656/20511149 (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/ -46656/20511149 x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -46656/20511149 x)
(/ -1728/707281 x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(* 841/108 x)
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* 841/108 x)
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (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)
(pow x 2)
-841/16
(- (* -500246412961/2985984 (pow x 2)) 841/16)
(- (* (pow x 2) (- (* -297558232675799463481/557256278016 (pow x 2)) 500246412961/2985984)) 841/16)
(- (* (pow x 2) (- (* (pow x 2) (- (* -176994576151109753197786640401/103997395628457984 (pow x 2)) 297558232675799463481/557256278016)) 500246412961/2985984)) 841/16)
(/ 11664/707281 (pow x 2))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/ 11664/707281 (pow x 2))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
-29/4
#s(literal -29/4 binary64)
(- (* -707281/1728 x) 29/4)
(+.f64 (*.f64 x #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64))
(- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x #s(literal -17249876309/746496 binary64)))) #s(literal -29/4 binary64))
(- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)
(+.f64 (*.f64 x (+.f64 #s(literal -707281/1728 binary64) (*.f64 x (+.f64 #s(literal -17249876309/746496 binary64) (*.f64 x #s(literal -420707233300201/322486272 binary64)))))) #s(literal -29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)))) x)
(/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x))) (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) x))
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) (/.f64 #s(literal -8707129344/12200509765705829 binary64) (*.f64 x x))) x)) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -20511149/46656 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -20511149/46656 binary64))
(* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (*.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x #s(literal -500246412961/20155392 binary64))))
(* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x (+.f64 #s(literal -500246412961/20155392 binary64) (*.f64 x #s(literal -12200509765705829/8707129344 binary64))))))
(* (pow x 2) (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (*.f64 x x) (+.f64 #s(literal -20511149/46656 binary64) (*.f64 x (+.f64 #s(literal -500246412961/20155392 binary64) (*.f64 x (+.f64 #s(literal -12200509765705829/8707129344 binary64) (*.f64 x #s(literal -297558232675799463481/3761479876608 binary64))))))))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) (/.f64 #s(literal 746496/17249876309 binary64) (*.f64 x x))))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (-.f64 #s(literal 4/29 binary64) (/.f64 #s(literal -1728/707281 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) (+.f64 (/.f64 #s(literal -1728/707281 binary64) x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal -746496/17249876309 binary64) (*.f64 x x)))))
(/ -46656/20511149 (pow x 2))
(/.f64 #s(literal -46656/20511149 binary64) (*.f64 x x))
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* 108/841 x) 46656/20511149) (pow x 2))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ (- (* 108/841 x) 46656/20511149) x)
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
108/841
#s(literal 108/841 binary64)
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -46656/20511149 x)
(/.f64 #s(literal -46656/20511149 binary64) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1728/707281 binary64) x))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(+.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(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)
-841/16
#s(literal -841/16 binary64)
(- (* -500246412961/2985984 (pow x 2)) 841/16)
(+.f64 (*.f64 (*.f64 x x) #s(literal -500246412961/2985984 binary64)) #s(literal -841/16 binary64))
(- (* (pow x 2) (- (* -297558232675799463481/557256278016 (pow x 2)) 500246412961/2985984)) 841/16)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -500246412961/2985984 binary64) (*.f64 x (*.f64 x #s(literal -297558232675799463481/557256278016 binary64)))))) #s(literal -841/16 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -176994576151109753197786640401/103997395628457984 (pow x 2)) 297558232675799463481/557256278016)) 500246412961/2985984)) 841/16)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -500246412961/2985984 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -297558232675799463481/557256278016 binary64) (*.f64 (*.f64 x x) #s(literal -176994576151109753197786640401/103997395628457984 binary64))))))) #s(literal -841/16 binary64))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x))) x) x)
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 75814101413145870336/148852438543083302439338564577241 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 11664/707281 (pow x 2))
(/.f64 #s(literal 11664/707281 binary64) (*.f64 x x))
(/ (+ 11664/707281 (* 2176782336/420707233300201 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x))) x) x)
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (* 2176782336/420707233300201 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x)) (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 11664/707281 (+ (/ 406239826673664/250246473680347348787521 (pow x 4)) (+ (* 2176782336/420707233300201 (/ 1 (pow x 2))) (* 75814101413145870336/148852438543083302439338564577241 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 11664/707281 binary64) (/.f64 #s(literal 2176782336/420707233300201 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 406239826673664/250246473680347348787521 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 75814101413145870336/148852438543083302439338564577241 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))

eval208.0ms (3.4%)

Compiler

Compiled 17081 to 1980 computations (88.4% saved)

prune80.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8772879
Fresh202
Picked415
Done134
Total8846890
Accuracy
100.0%
Counts
890 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
59.2%
(/.f64 x #s(literal 108/841 binary64))
99.7%
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
99.8%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
59.3%
(*.f64 #s(literal 841/108 binary64) x)
41.2%
#s(literal 4/29 binary64)
Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 108/841 binary64))
cost-diff0
(/.f64 x #s(literal 108/841 binary64))
cost-diff0
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
1816
2916
0916
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ x 108/841) -4/29)
(/ x 108/841)
x
108/841
-4/29
(/ x 108/841)
x
108/841
Outputs
(- (/ x 108/841) -4/29)
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(/ x 108/841)
(/.f64 x #s(literal 108/841 binary64))
x
108/841
#s(literal 108/841 binary64)
-4/29
#s(literal -4/29 binary64)
(/ x 108/841)
(/.f64 x #s(literal 108/841 binary64))
x
108/841
#s(literal 108/841 binary64)

localize72.0ms (1.2%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 x #s(literal 108/841 binary64))
accuracy100.0%
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
accuracy99.5%
(/.f64 x #s(literal 108/841 binary64))
Results
64.0ms256×0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
...c/correct-round.rkt:119:19: 36.0ms (89.8% of total)
ival-div: 2.0ms (5% of total)
ival-sub: 2.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (- (/ x 108/841) -4/29)>
#<alt (/ x 108/841)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- (/ x 108/841) -4/29)
0.0ms
x
@inf
(- (/ x 108/841) -4/29)
0.0ms
x
@-inf
(- (/ x 108/841) -4/29)
0.0ms
x
@inf
(/ x 108/841)
0.0ms
x
@0
(/ x 108/841)

rewrite328.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
3130×fma-lowering-fma.f32
3130×fma-lowering-fma.f64
2624×*-lowering-*.f32
2624×*-lowering-*.f64
1852×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058
1337
22377
333507
084787
Stop Event
iter limit
node limit
Counts
2 → 168
Calls
Call 1
Inputs
(- (/ x 108/841) -4/29)
(/ x 108/841)
Outputs
(+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 108/841 binary64)))
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(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 136048896/500246412961 binary64)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal 64/24389 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 136048896/500246412961 binary64)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) (-.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal -16/841 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 136048896/500246412961 binary64)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 136048896/500246412961 binary64)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) #s(literal 16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1999004627104432128/210457284365172120330305161 binary64)) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 4096/594823321 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 11664/707281 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1259712/594823321 binary64)) #s(literal -64/24389 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 108/841 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -108/841 binary64)))
(neg.f64 (/.f64 x #s(literal -108/841 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal -108/841 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -108/841 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 x #s(literal 108/841 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -108/841 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 108/841 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 841/108 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -108/841 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x #s(literal -108/841 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 841/108 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) #s(literal -841/108 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -841/108 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
44×*-lowering-*.f32
44×*-lowering-*.f64
40×fma-define
28×fma-lowering-fma.f32
28×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01088
12579
24679
36879
46879
58379
69179
79779
89979
09979
Stop Event
iter limit
saturated
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+ 4/29 (* 841/108 x))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval71.0ms (1.2%)

Compiler

Compiled 7726 to 484 computations (93.7% saved)

prune43.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2360236
Fresh000
Picked022
Done044
Total2366242
Accuracy
100.0%
Counts
242 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
59.2%
(/.f64 x #s(literal 108/841 binary64))
99.7%
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
99.8%
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
59.3%
(*.f64 #s(literal 841/108 binary64) x)
41.2%
#s(literal 4/29 binary64)
Compiler

Compiled 256 to 110 computations (57% saved)

regimes19.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(-.f64 (/.f64 x #s(literal 108/841 binary64)) #s(literal -4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x))
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x))
(/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -16/841 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal 64/24389 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 16/841 binary64)))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64)))))
Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
Calls

3 calls:

7.0ms
x
6.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.8%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 x #s(literal 108/841 binary64))
Outputs
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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:

1.0ms
x
Results
AccuracySegmentsBranch
41.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch53.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.0010062811075012678
0.8628416027427358
18.0ms
-0.021839463429361463
-2.073201997995642e-36
Results
19.0ms304×0valid
Compiler

Compiled 166 to 145 computations (12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (51.3% of total)
ival-mult: 3.0ms (30.8% of total)
ival-add: 2.0ms (20.5% of total)
const: 1.0ms (10.3% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11619
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
#s(literal 4/29 binary64)
Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(if (<=.f64 x #s(literal -5188146770730811/288230376151711744 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 x #s(literal 5188146770730811/288230376151711744 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
#s(literal 4/29 binary64)

soundness23.0ms (0.4%)

Rules
44×*-lowering-*.f32
44×*-lowering-*.f64
40×fma-define
28×fma-lowering-fma.f32
28×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01088
12579
24679
36879
46879
58379
69179
79779
89979
09979
0114
1144
2154
0154
Stop Event
done
iter limit
saturated
iter limit
saturated
Compiler

Compiled 54 to 38 computations (29.6% saved)

preprocess38.0ms (0.6%)

Compiler

Compiled 64 to 40 computations (37.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...