Jmat.Real.lambertw, newton loop step

Time bar (total: 11.4s)

analyze103.0ms (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
62.5%62.4%37.5%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
68.8%68.7%31.2%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
71.9%71.8%28.1%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-sub: 17.0ms (37% of total)
ival-mult: 10.0ms (21.8% of total)
ival-exp: 8.0ms (17.4% of total)
ival-add: 6.0ms (13.1% of total)
ival-div: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

sample4.1s (35.8%)

Results
2.1s3988×5exit
511.0ms6403×0valid
354.0ms4078×0unsamplable
318.0ms1853×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-sub: 481.0ms (21.1% of total)
ival-div: 427.0ms (18.7% of total)
ival-exp: 396.0ms (17.3% of total)
backward-pass: 393.0ms (17.2% of total)
ival-mult: 333.0ms (14.6% of total)
ival-add: 239.0ms (10.5% of total)
const: 16.0ms (0.7% of total)
Bogosity

preprocess202.0ms (1.8%)

Algorithm
egg-herbie
Rules
2246×fmm-def
2100×fnmsub-define
1704×fma-lowering-fma.f32
1704×fma-lowering-fma.f64
1522×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02798
18594
229486
3124176
4585676
0814
12214
26114
318212
459712
5226112
6759212
0861512
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
Outputs
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
Call 2
Inputs
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
(- (neg wj) (/ (- (* (neg wj) (exp (neg wj))) x) (+ (exp (neg wj)) (* (neg wj) (exp (neg wj))))))
(- wj (/ (- (* wj (exp wj)) (neg x)) (+ (exp wj) (* wj (exp wj)))))
(neg (- (neg wj) (/ (- (* (neg wj) (exp (neg wj))) x) (+ (exp (neg wj)) (* (neg wj) (exp (neg wj)))))))
(neg (- wj (/ (- (* wj (exp wj)) (neg x)) (+ (exp wj) (* wj (exp wj))))))
(- x (/ (- (* x (exp x)) wj) (+ (exp x) (* x (exp x)))))
Outputs
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
(+ wj (/ (- (/ x (exp wj)) wj) (+ wj 1)))
(- (neg wj) (/ (- (* (neg wj) (exp (neg wj))) x) (+ (exp (neg wj)) (* (neg wj) (exp (neg wj))))))
(- (/ (- (neg wj) (* x (exp wj))) (+ wj -1)) wj)
(- wj (/ (- (* wj (exp wj)) (neg x)) (+ (exp wj) (* wj (exp wj)))))
(+ wj (/ (- (neg wj) (/ x (exp wj))) (+ wj 1)))
(neg (- (neg wj) (/ (- (* (neg wj) (exp (neg wj))) x) (+ (exp (neg wj)) (* (neg wj) (exp (neg wj)))))))
(+ wj (/ (- (neg wj) (* x (exp wj))) (- 1 wj)))
(neg (- wj (/ (- (* wj (exp wj)) (neg x)) (+ (exp wj) (* wj (exp wj))))))
(- (* (recip (+ wj 1)) (+ wj (/ x (exp wj)))) wj)
(- x (/ (- (* x (exp x)) wj) (+ (exp x) (* x (exp x)))))
(+ x (/ (- (/ wj (exp x)) x) (+ x 1)))

explain109.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
482(-2.0805643537785986e-139 4.17366354950609e-142)0-(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
20-0-(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
00-0-x
00-0-wj
00-0-(exp.f64 wj)
00-0-(*.f64 wj (exp.f64 wj))
00-0-(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
00-0-(-.f64 (*.f64 wj (exp.f64 wj)) x)
Results
36.0ms422×0valid
20.0ms90×1valid
Compiler

Compiled 126 to 26 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 8.0ms (27.5% of total)
ival-exp: 7.0ms (24.1% of total)
ival-mult: 5.0ms (17.2% of total)
ival-div: 4.0ms (13.7% of total)
ival-add: 3.0ms (10.3% of total)
backward-pass: 2.0ms (6.9% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
84.5%
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify104.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (exp.f64 wj))
cost-diff0
(-.f64 wj (/.f64 x (exp.f64 wj)))
cost-diff0
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
Rules
2360×sum5-define
2254×fnmadd-define
1490×fnmsub-define
1486×fmsub-define
1306×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
11740
23640
37340
416940
551940
6167840
7515640
8770440
0820040
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
wj
(/ (- wj (/ x (exp wj))) (- -1 wj))
(- wj (/ x (exp wj)))
(/ x (exp wj))
x
(exp wj)
(- -1 wj)
-1
Outputs
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj #s(literal 1 binary64))))
wj
(/ (- wj (/ x (exp wj))) (- -1 wj))
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj #s(literal 1 binary64)))
(- wj (/ x (exp wj)))
(-.f64 wj (/.f64 x (exp.f64 wj)))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
x
(exp wj)
(exp.f64 wj)
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)

localize49.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 wj)
accuracy100.0%
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj))
accuracy100.0%
(/.f64 x (exp.f64 wj))
accuracy84.6%
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
Results
21.0ms211×0valid
10.0ms45×1valid
Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 5.0ms (35.3% of total)
ival-exp: 3.0ms (21.2% of total)
ival-sub: 3.0ms (21.2% of total)
ival-add: 2.0ms (14.1% of total)
backward-pass: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))>
#<alt (/ (- wj (/ x (exp wj))) (- -1 wj))>
#<alt (- wj (/ x (exp wj)))>
#<alt (/ x (exp wj))>
#<alt (exp wj)>
Outputs
#<alt x>
#<alt (+ x (* wj (+ 1 (* -1 (- (+ 1 x) (* -1 x))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x)))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))))))))>
#<alt wj>
#<alt (* wj (- 1 (/ 1 wj)))>
#<alt (* wj (- (+ 1 (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2)))) (/ 1 wj)))>
#<alt (* wj (- (+ 1 (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 3))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2))))) (/ 1 wj)))>
#<alt wj>
#<alt (* -1 (* wj (- (/ 1 wj) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1) wj)) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1) wj)) 1)))>
#<alt (+ wj (* -1 (/ wj (+ 1 wj))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt x>
#<alt (+ x (* -1 (* wj (- (+ 1 x) (* -1 x)))))>
#<alt (+ x (* wj (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x))))))>
#<alt (+ x (* wj (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x))))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj))) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (+ (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 3))))) 1)>
#<alt -1>
#<alt (- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj))) wj)) 1)>
#<alt (* -1 (/ wj (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))>
#<alt (* -1 x)>
#<alt (- (* wj (+ 1 x)) x)>
#<alt (- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (* 1/2 x)))))) x)>
#<alt (- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (+ (* 1/2 x) (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x)))))))))) x)>
#<alt wj>
#<alt (* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))>
#<alt (* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))>
#<alt (* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))>
#<alt wj>
#<alt (* -1 (* wj (- (/ x (* wj (exp wj))) 1)))>
#<alt (* -1 (* wj (- (/ x (* wj (exp wj))) 1)))>
#<alt (* -1 (* wj (- (/ x (* wj (exp wj))) 1)))>
#<alt wj>
#<alt (+ wj (* -1 (/ x (exp wj))))>
#<alt (+ wj (* -1 (/ x (exp wj))))>
#<alt (+ wj (* -1 (/ x (exp wj))))>
#<alt (* -1 (/ x (exp wj)))>
#<alt (* x (- (/ wj x) (/ 1 (exp wj))))>
#<alt (* x (- (/ wj x) (/ 1 (exp wj))))>
#<alt (* x (- (/ wj x) (/ 1 (exp wj))))>
#<alt (* -1 (/ x (exp wj)))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt x>
#<alt (+ x (* -1 (* wj x)))>
#<alt (+ x (* wj (- (* -1 (* wj (+ (* -1 x) (* 1/2 x)))) x)))>
#<alt (+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -1 x) (* 1/2 x)))) x)))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt 1>
#<alt (+ 1 wj)>
#<alt (+ 1 (* wj (+ 1 (* 1/2 wj))))>
#<alt (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
wj
@-inf
(- wj (/ x (exp wj)))
1.0ms
x
@-inf
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
1.0ms
wj
@0
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
1.0ms
x
@inf
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
1.0ms
x
@0
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))

rewrite273.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
4716×*-lowering-*.f32
4716×*-lowering-*.f64
3882×/-lowering-/.f32
3882×/-lowering-/.f64
1720×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
16534
268034
0858034
Stop Event
iter limit
node limit
Counts
5 → 296
Calls
Call 1
Inputs
(+ wj (/ (- wj (/ x (exp wj))) (- -1 wj)))
(/ (- wj (/ x (exp wj))) (- -1 wj))
(- wj (/ x (exp wj)))
(/ x (exp wj))
(exp wj)
Outputs
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj)
(+.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) wj)) (neg.f64 (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) wj)))
(+.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) wj)) (+.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) wj))
(+.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))))))
(+.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))
(-.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) wj)) (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) wj))
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))))
(-.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj)) (/.f64 (*.f64 wj wj) (-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj)))
(fma.f64 wj (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) wj)))
(fma.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) wj)
(fma.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) wj)) wj)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj)
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj)
(fma.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj)))) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))) wj)
(fma.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal 1 binary64) (*.f64 wj wj))) (+.f64 wj #s(literal -1 binary64)) wj)
(fma.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj)))) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))) (neg.f64 (-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) wj)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))) (*.f64 (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj))))) (*.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)) wj))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))) (+.f64 (/.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj))))) (*.f64 (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj)))))) (+.f64 (/.f64 (*.f64 wj wj) (+.f64 wj (/.f64 x (exp.f64 wj)))) (/.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (+.f64 wj (/.f64 x (exp.f64 wj))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))))) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 wj wj) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))))) (+.f64 wj (/.f64 x (exp.f64 wj))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj (*.f64 wj (-.f64 #s(literal 0 binary64) wj))) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj (-.f64 #s(literal 0 binary64) wj)) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))))) (-.f64 #s(literal 0 binary64) (+.f64 wj (/.f64 x (exp.f64 wj)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 x (exp.f64 wj)) wj)) #s(literal -1 binary64))
(*.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x (exp.f64 wj)) wj))
(*.f64 (-.f64 (*.f64 wj (*.f64 wj wj)) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))
(*.f64 (-.f64 (*.f64 wj (*.f64 wj wj)) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))) (*.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
(*.f64 #s(literal 1 binary64) (-.f64 wj (/.f64 x (exp.f64 wj))))
(*.f64 (-.f64 (*.f64 wj wj) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj)))) (/.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 x (exp.f64 wj)))))
(*.f64 (-.f64 (*.f64 wj wj) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 x (exp.f64 wj)))) #s(literal 1 binary64)))
(*.f64 (+.f64 wj (/.f64 x (exp.f64 wj))) (*.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (/.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 x (exp.f64 wj))))))
(*.f64 (+.f64 (*.f64 wj (*.f64 wj (-.f64 #s(literal 0 binary64) wj))) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj))))))))
(*.f64 (+.f64 (*.f64 wj (-.f64 #s(literal 0 binary64) wj)) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 wj (/.f64 x (exp.f64 wj))))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (*.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj (/.f64 x (exp.f64 wj)))))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 wj wj) (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))))) (/.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 x (exp.f64 wj)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 wj) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 wj))) (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)) #s(literal 1 binary64)))
(/.f64 x (exp.f64 wj))
(/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 wj) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 wj) x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(pow.f64 (/.f64 (exp.f64 wj) x) #s(literal -1 binary64))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) wj)))
(*.f64 x (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (exp.f64 wj)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (exp.f64 wj)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (exp.f64 wj)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 wj)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) x)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (exp.f64 wj) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (exp.f64 wj) x) #s(literal -1/2 binary64)))
(exp.f64 wj)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(/.f64 (exp.f64 wj) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 wj)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) wj)))
(*.f64 (exp.f64 wj) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(*.f64 #s(literal 1 binary64) (exp.f64 wj))

simplify209.0ms (1.8%)

Algorithm
egg-herbie
Rules
2872×*-lowering-*.f32
2872×*-lowering-*.f64
2848×+-lowering-+.f64
2848×+-lowering-+.f32
1990×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901157
16811036
22669989
08349989
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
x
(+ x (* wj (+ 1 (* -1 (- (+ 1 x) (* -1 x))))))
(+ x (* wj (+ 1 (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x)))))))
(+ x (* wj (+ 1 (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))))))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2)))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 3))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2))))) (/ 1 wj)))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1) wj)) 1)))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1) wj)) 1)))
(+ wj (* -1 (/ wj (+ 1 wj))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(/ x (* (exp wj) (+ 1 wj)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(/ x (* (exp wj) (+ 1 wj)))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
x
(+ x (* -1 (* wj (- (+ 1 x) (* -1 x)))))
(+ x (* wj (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x))))))
(+ x (* wj (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x))))))))
-1
(- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1)
(- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj))) 1)
(- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (+ (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 3))))) 1)
-1
(- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1)
(- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj))) wj)) 1)
(* -1 (/ wj (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(/ x (* (exp wj) (+ 1 wj)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(/ x (* (exp wj) (+ 1 wj)))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(* -1 x)
(- (* wj (+ 1 x)) x)
(- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (* 1/2 x)))))) x)
(- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (+ (* 1/2 x) (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x)))))))))) x)
wj
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
wj
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
wj
(+ wj (* -1 (/ x (exp wj))))
(+ wj (* -1 (/ x (exp wj))))
(+ wj (* -1 (/ x (exp wj))))
(* -1 (/ x (exp wj)))
(* x (- (/ wj x) (/ 1 (exp wj))))
(* x (- (/ wj x) (/ 1 (exp wj))))
(* x (- (/ wj x) (/ 1 (exp wj))))
(* -1 (/ x (exp wj)))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
x
(+ x (* -1 (* wj x)))
(+ x (* wj (- (* -1 (* wj (+ (* -1 x) (* 1/2 x)))) x)))
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -1 x) (* 1/2 x)))) x)))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
1
(+ 1 wj)
(+ 1 (* wj (+ 1 (* 1/2 wj))))
(+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
Outputs
x
(+ x (* wj (+ 1 (* -1 (- (+ 1 x) (* -1 x))))))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(+ x (* wj (+ 1 (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x)))))))
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
(+ x (* wj (+ 1 (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))))))))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))))))
wj
(* wj (- 1 (/ 1 wj)))
(+.f64 wj #s(literal -1 binary64))
(* wj (- (+ 1 (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2)))) (/ 1 wj)))
(+.f64 #s(literal -1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj)))))
(* wj (- (+ 1 (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 3))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2))))) (/ 1 wj)))
(+.f64 #s(literal -1 binary64) (*.f64 wj (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) wj)))))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(+.f64 wj #s(literal -1 binary64))
(* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1) wj)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) wj)) wj)) (-.f64 #s(literal 0 binary64) wj))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1) wj)) 1)))
(*.f64 wj (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) wj)) wj)) wj) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ wj (* -1 (/ wj (+ 1 wj))))
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj)))))
(+.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(/ x (* (exp wj) (+ 1 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (* (exp wj) (+ 1 wj))) (/ wj x))))
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x)))
(/ x (* (exp wj) (+ 1 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))))
x
(+ x (* -1 (* wj (- (+ 1 x) (* -1 x)))))
(+.f64 x (*.f64 wj (-.f64 #s(literal -1 binary64) (+.f64 x x))))
(+ x (* wj (+ (* -1 (* wj (- (+ (* -2 x) (* 1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x))))))
(+.f64 x (*.f64 wj (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
(+ x (* wj (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 (+ x (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -2 x) (* 1/2 x))))) (* -1 (- (+ (* -2 x) (* 1/2 x)) (+ 1 x))))))))
(+.f64 x (*.f64 wj (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 3/2 binary64))))))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) wj))
(- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) wj) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj))))
(- (+ (* -1 (/ (- 1 (* -1 (/ x (exp wj)))) (pow wj 2))) (+ (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 3))))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) wj) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (*.f64 wj wj)) wj))))
-1
#s(literal -1 binary64)
(- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1)
(+.f64 (/.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) wj)))
(- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) wj)) wj))
(- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj))) wj)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 wj))) wj)) wj)) wj))
(* -1 (/ wj (+ 1 wj)))
(-.f64 #s(literal 0 binary64) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (* (exp wj) (+ 1 wj))))
(-.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(/ x (* (exp wj) (+ 1 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(/ x (* (exp wj) (+ 1 wj)))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* wj (+ 1 x)) x)
(-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) x)
(- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (* 1/2 x)))))) x)
(-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x)
(- (* wj (+ 1 (+ x (* wj (+ (* -1 x) (+ (* 1/2 x) (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x)))))))))) x)
(-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))))) x)
wj
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
(* wj (+ 1 (* -1 (/ x (* wj (exp wj))))))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
wj
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
(* -1 (* wj (- (/ x (* wj (exp wj))) 1)))
(*.f64 wj (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 wj (exp.f64 wj)))))
wj
(+ wj (* -1 (/ x (exp wj))))
(-.f64 wj (/.f64 x (exp.f64 wj)))
(+ wj (* -1 (/ x (exp wj))))
(-.f64 wj (/.f64 x (exp.f64 wj)))
(+ wj (* -1 (/ x (exp wj))))
(-.f64 wj (/.f64 x (exp.f64 wj)))
(* -1 (/ x (exp wj)))
(-.f64 #s(literal 0 binary64) (/.f64 x (exp.f64 wj)))
(* x (- (/ wj x) (/ 1 (exp wj))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(* x (- (/ wj x) (/ 1 (exp wj))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(* x (- (/ wj x) (/ 1 (exp wj))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(* -1 (/ x (exp wj)))
(-.f64 #s(literal 0 binary64) (/.f64 x (exp.f64 wj)))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(* -1 (* x (+ (* -1 (/ wj x)) (/ 1 (exp wj)))))
(*.f64 x (+.f64 (/.f64 wj x) (/.f64 #s(literal -1 binary64) (exp.f64 wj))))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
x
(+ x (* -1 (* wj x)))
(*.f64 (-.f64 #s(literal 1 binary64) wj) x)
(+ x (* wj (- (* -1 (* wj (+ (* -1 x) (* 1/2 x)))) x)))
(+.f64 x (*.f64 wj (-.f64 (*.f64 x (*.f64 wj #s(literal 1/2 binary64))) x)))
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -1 x) (* 1/2 x)))) x)))
(+.f64 x (*.f64 wj (-.f64 (*.f64 wj (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))) x)))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
1
#s(literal 1 binary64)
(+ 1 wj)
(+.f64 wj #s(literal 1 binary64))
(+ 1 (* wj (+ 1 (* 1/2 wj))))
(+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))
(+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))
(+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)
(exp wj)
(exp.f64 wj)

eval48.0ms (0.4%)

Compiler

Compiled 11585 to 1277 computations (89% saved)

prune60.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New38519404
Fresh000
Picked101
Done000
Total38619405
Accuracy
99.7%
Counts
405 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj)
91.5%
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
41.7%
(/.f64 (-.f64 (pow.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj))))) (+.f64 (*.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj)))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) wj))) (*.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))))))
41.6%
(/.f64 (-.f64 (*.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))))
41.6%
(/.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 3 binary64))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj (/.f64 x (exp.f64 wj)))))))
94.1%
(-.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
6.0%
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
97.1%
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
90.2%
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
91.7%
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))))))
84.2%
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj)))
84.2%
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))))) x) (-.f64 #s(literal -1 binary64) wj)))
83.8%
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) x) (-.f64 #s(literal -1 binary64) wj)))
83.7%
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
84.2%
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64))))))))) (-.f64 #s(literal -1 binary64) wj)))
82.9%
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
4.2%
(+.f64 wj #s(literal -1 binary64))
89.8%
x
4.3%
wj
Compiler

Compiled 916 to 474 computations (48.3% saved)

simplify233.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 wj #s(literal 1 binary64))
cost-diff0
(exp.f64 wj)
cost-diff0
(/.f64 x (exp.f64 wj))
cost-diff0
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
cost-diff0
(*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj))))
cost-diff0
(-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x)
cost-diff0
(/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj)))
cost-diff0
(-.f64 #s(literal -1 binary64) wj)
cost-diff0
(-.f64 wj x)
cost-diff0
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
cost-diff256
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))
cost-diff384
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
cost-diff384
(*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
cost-diff384
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
Rules
3908×+-lowering-+.f64
3908×+-lowering-+.f32
1774×sum3-define
1772×fma-lowering-fma.f32
1772×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031212
197200
2327194
31516184
46077184
08071184
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))))
x
(* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2)))))
wj
(+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))
(+ 1 (- -1 (+ x x)))
1
(- -1 (+ x x))
-1
(+ x x)
(* wj (+ (+ x 1) (* x 3/2)))
(+ (+ x 1) (* x 3/2))
(+ x 1)
(* x 3/2)
3/2
wj
(+ wj (/ (- wj x) (- -1 wj)))
wj
(/ (- wj x) (- -1 wj))
(- wj x)
x
(- -1 wj)
-1
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
wj
(/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj))
(- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x)
(* wj (+ (+ x 1) (* x (* -1/2 wj))))
(+ (+ x 1) (* x (* -1/2 wj)))
(+ x 1)
x
1
(* x (* -1/2 wj))
(* -1/2 wj)
-1/2
(- -1 wj)
-1
(/ (/ x (exp wj)) (+ wj 1))
(/ x (exp wj))
x
(exp wj)
wj
(+ wj 1)
1
Outputs
(+ x (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))))
(+.f64 x (*.f64 wj (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))))))
x
(* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2)))))
(*.f64 wj (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))))
wj
(+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))
(+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))))
(+ 1 (- -1 (+ x x)))
(*.f64 x #s(literal -2 binary64))
1
#s(literal 1 binary64)
(- -1 (+ x x))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(+ x x)
(*.f64 x #s(literal 2 binary64))
(* wj (+ (+ x 1) (* x 3/2)))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(+ (+ x 1) (* x 3/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
wj
(+ wj (/ (- wj x) (- -1 wj)))
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
wj
(/ (- wj x) (- -1 wj))
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
(- wj x)
(-.f64 wj x)
x
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -1/2 binary64)))))) x) (-.f64 #s(literal -1 binary64) wj)))
wj
(/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj))
(/.f64 (-.f64 (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -1/2 binary64)))))) x) (-.f64 #s(literal -1 binary64) wj))
(- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x)
(-.f64 (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -1/2 binary64)))))) x)
(* wj (+ (+ x 1) (* x (* -1/2 wj))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -1/2 binary64))))))
(+ (+ x 1) (* x (* -1/2 wj)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -1/2 binary64)))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* x (* -1/2 wj))
(*.f64 #s(literal -1/2 binary64) (*.f64 x wj))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)
(/ (/ x (exp wj)) (+ wj 1))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(/ x (exp wj))
(/.f64 x (exp.f64 wj))
x
(exp wj)
(exp.f64 wj)
wj
(+ wj 1)
(+.f64 wj #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize307.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 wj #s(literal 1 binary64))
accuracy100.0%
(exp.f64 wj)
accuracy100.0%
(/.f64 x (exp.f64 wj))
accuracy100.0%
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) wj)
accuracy100.0%
(/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj))
accuracy100.0%
(*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj))))
accuracy84.6%
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj)))
accuracy100.0%
(-.f64 wj x)
accuracy100.0%
(-.f64 #s(literal -1 binary64) wj)
accuracy100.0%
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
accuracy84.6%
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
accuracy99.8%
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
accuracy99.6%
(*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
accuracy99.4%
(*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))))
accuracy57.7%
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))
Results
155.0ms131×0valid
88.0ms121×1valid
4.0ms2valid
Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 20.0ms (28.4% of total)
ival-add: 19.0ms (27% of total)
ival-div: 10.0ms (14.2% of total)
backward-pass: 9.0ms (12.8% of total)
ival-sub: 8.0ms (11.4% of total)
ival-exp: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)

series36.0ms (0.3%)

Counts
19 → 384
Calls
Call 1
Inputs
#<alt (+ x (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))))>
#<alt (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2)))))>
#<alt (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))>
#<alt (+ 1 (- -1 (+ x x)))>
#<alt (+ wj (/ (- wj x) (- -1 wj)))>
#<alt (/ (- wj x) (- -1 wj))>
#<alt (- wj x)>
#<alt (- -1 wj)>
#<alt (+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))>
#<alt (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj))>
#<alt (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x)>
#<alt (* wj (+ (+ x 1) (* x (* -1/2 wj))))>
#<alt (/ (/ x (exp wj)) (+ wj 1))>
#<alt (/ x (exp wj))>
#<alt (exp wj)>
#<alt (+ wj 1)>
#<alt (* wj (+ (+ x 1) (* x 3/2)))>
#<alt (+ (+ x 1) (* x 3/2))>
#<alt (* -1/2 wj)>
Outputs
#<alt (pow wj 2)>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (* x (+ 1 (* wj (- (* 5/2 wj) 2))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))>
#<alt x>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x)))))))>
#<alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x)))))))>
#<alt (* (pow wj 2) (+ 1 (+ x (* 3/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (- (+ 1 (+ x (+ (* 3/2 x) (/ x (pow wj 2))))) (* 2 (/ x wj))))>
#<alt (* (pow wj 2) (- (+ 1 (+ x (+ (* 3/2 x) (/ x (pow wj 2))))) (* 2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (+ x (* 3/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 3/2 x)))))>
#<alt (* -2 (* wj x))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))>
#<alt (* (pow wj 2) (+ 1 (+ x (* 3/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (* 3/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (pow wj 2)>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (* wj (* x (- (* 5/2 wj) 2)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* -1 (* wj (* x (+ 2 (* -5/2 wj)))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))>
#<alt wj>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* -1 (* x (+ 2 (* -5/2 wj))))>
#<alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))>
#<alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))>
#<alt (* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))>
#<alt (* -2 x)>
#<alt (- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))>
#<alt (- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))>
#<alt (- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))>
#<alt (* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))>
#<alt (* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt x>
#<alt (+ x (* wj (+ 1 (* -1 (- 1 (* -1 x))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x)))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1))))))))>
#<alt wj>
#<alt (* wj (- 1 (/ 1 wj)))>
#<alt (* wj (- (+ 1 (* -1 (/ (- (* -1 x) 1) (pow wj 2)))) (/ 1 wj)))>
#<alt (* wj (- (+ 1 (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 3))) (* -1 (/ (- (* -1 x) 1) (pow wj 2))))) (/ 1 wj)))>
#<alt wj>
#<alt (* -1 (* wj (- (/ 1 wj) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x wj)) 1) wj)) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1) wj)) 1)))>
#<alt (+ wj (* -1 (/ wj (+ 1 wj))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))>
#<alt (+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))>
#<alt (/ x (+ 1 wj))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))>
#<alt (/ x (+ 1 wj))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt x>
#<alt (+ x (* -1 (* wj (- 1 (* -1 x)))))>
#<alt (+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))>
#<alt (+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) 1) wj)) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)>
#<alt -1>
#<alt (- (+ (/ 1 wj) (/ x wj)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)>
#<alt (* -1 (/ wj (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (/ x (+ 1 wj))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (/ x (+ 1 wj))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 x)>
#<alt (- wj x)>
#<alt (- wj x)>
#<alt (- wj x)>
#<alt wj>
#<alt (* wj (+ 1 (* -1 (/ x wj))))>
#<alt (* wj (+ 1 (* -1 (/ x wj))))>
#<alt (* wj (+ 1 (* -1 (/ x wj))))>
#<alt wj>
#<alt (* -1 (* wj (- (/ x wj) 1)))>
#<alt (* -1 (* wj (- (/ x wj) 1)))>
#<alt (* -1 (* wj (- (/ x wj) 1)))>
#<alt wj>
#<alt (+ wj (* -1 x))>
#<alt (+ wj (* -1 x))>
#<alt (+ wj (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ wj x) 1))>
#<alt (* x (- (/ wj x) 1))>
#<alt (* x (- (/ wj x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ wj x)))))>
#<alt -1>
#<alt (- (* -1 wj) 1)>
#<alt (- (* -1 wj) 1)>
#<alt (- (* -1 wj) 1)>
#<alt (* -1 wj)>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt (* -1 wj)>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt (* -1 (* wj (+ 1 (/ 1 wj))))>
#<alt x>
#<alt (+ x (* wj (+ 1 (* -1 (- (+ 1 x) (* -1 x))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (* wj (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x)))))))>
#<alt (+ x (* wj (+ 1 (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 x) (+ (* -1 x) (* -1/2 x))))) (* -1 (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))))))))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (* 1/2 x))))>
#<alt (* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x)))))>
#<alt (* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ 1 x) (+ (* -1 x) (* -1/2 x))) (pow wj 3))) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x))))))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt (* -1 (* wj (- (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))) (+ 1 (* -1/2 (/ x wj))))))>
#<alt (* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (- (* -1 (- (+ 1 x) (* -1/2 x))) x) wj))) wj)) (* -1/2 x)) 1)))>
#<alt (* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (- (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (+ (* -1 x) (* -1 (- (+ 1 x) (* -1/2 x)))) wj))) x) wj))) wj)) (* -1/2 x)) 1)))>
#<alt (+ wj (* -1 (/ wj (+ 1 wj))))>
#<alt (+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))>
#<alt (+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))>
#<alt (+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))>
#<alt (* -1 (/ (* x (- (* wj (+ 1 (* -1/2 wj))) 1)) (+ 1 wj)))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))>
#<alt x>
#<alt (+ x (* -1 (* wj (- (+ 1 x) (* -1 x)))))>
#<alt (+ x (* wj (+ (* -1 (* wj (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x))))))>
#<alt (+ x (* wj (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 x) (+ (* -1 x) (* -1/2 x))))) (* -1 (- (+ (* -1 x) (* -1/2 x)) (+ 1 x))))))))>
#<alt (* 1/2 (* wj x))>
#<alt (* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (* 1/2 x)))>
#<alt (* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x))))>
#<alt (* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ 1 x) (+ (* -1 x) (* -1/2 x))) (pow wj 3))) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x)))))>
#<alt (* 1/2 (* wj x))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (* -1 (+ 1 x)) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (+ (* -1 (+ 1 x)) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (+ (* -1 (+ 1 x)) (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* -1 (/ wj (+ 1 wj)))>
#<alt (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))>
#<alt (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))>
#<alt (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))>
#<alt (* -1 (/ (* x (- (* wj (+ 1 (* -1/2 wj))) 1)) (+ 1 wj)))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))>
#<alt (* -1 x)>
#<alt (- (* wj (+ 1 x)) x)>
#<alt (- (* wj (+ 1 (+ x (* -1/2 (* wj x))))) x)>
#<alt (- (* wj (+ 1 (+ x (* -1/2 (* wj x))))) x)>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1 (/ x (pow wj 2))) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj)))))>
#<alt (* (pow wj 2) (+ (* -1 (/ x (pow wj 2))) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj)))))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1 (/ (+ (* -1 (+ 1 x)) (/ x wj)) wj)) (* -1/2 x)))>
#<alt (* (pow wj 2) (+ (* -1 (/ (+ (* -1 (+ 1 x)) (/ x wj)) wj)) (* -1/2 x)))>
#<alt wj>
#<alt (+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))>
#<alt (+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))>
#<alt (+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))>
#<alt (* x (- (* wj (+ 1 (* -1/2 wj))) 1))>
#<alt (* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))>
#<alt (* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))>
#<alt (* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))>
#<alt (* -1 (* x (+ 1 (* wj (- (* 1/2 wj) 1)))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))>
#<alt (* wj (+ 1 x))>
#<alt (* wj (+ 1 (+ x (* -1/2 (* wj x)))))>
#<alt (* wj (+ 1 (+ x (* -1/2 (* wj x)))))>
#<alt (* wj (+ 1 (+ x (* -1/2 (* wj x)))))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt (* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))>
#<alt wj>
#<alt (+ wj (* wj (* x (+ 1 (* -1/2 wj)))))>
#<alt (+ wj (* wj (* x (+ 1 (* -1/2 wj)))))>
#<alt (+ wj (* wj (* x (+ 1 (* -1/2 wj)))))>
#<alt (* wj (* x (+ 1 (* -1/2 wj))))>
#<alt (* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))>
#<alt (* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))>
#<alt (* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))>
#<alt (* -1 (* wj (* x (- (* 1/2 wj) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt (/ x (* (exp wj) (+ 1 wj)))>
#<alt x>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x))))>
#<alt (+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))>
#<alt (/ x (* wj (exp wj)))>
#<alt (/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj)>
#<alt (/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj)>
#<alt (/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj)>
#<alt (/ x (* wj (exp wj)))>
#<alt (* -1 (/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj))>
#<alt (* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj))) wj))>
#<alt (* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj))) wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt x>
#<alt (+ x (* -1 (* wj x)))>
#<alt (+ x (* wj (- (* -1 (* wj (+ (* -1 x) (* 1/2 x)))) x)))>
#<alt (+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -1 x) (* 1/2 x)))) x)))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt (/ x (exp wj))>
#<alt 1>
#<alt (+ 1 wj)>
#<alt (+ 1 (* wj (+ 1 (* 1/2 wj))))>
#<alt (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt (exp wj)>
#<alt 1>
#<alt (+ 1 wj)>
#<alt (+ 1 wj)>
#<alt (+ 1 wj)>
#<alt wj>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt wj>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt (* wj (+ 1 (/ 1 wj)))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt (* wj (+ 1 (+ x (* 3/2 x))))>
#<alt wj>
#<alt (+ wj (* 5/2 (* wj x)))>
#<alt (+ wj (* 5/2 (* wj x)))>
#<alt (+ wj (* 5/2 (* wj x)))>
#<alt (* 5/2 (* wj x))>
#<alt (* x (+ (* 5/2 wj) (/ wj x)))>
#<alt (* x (+ (* 5/2 wj) (/ wj x)))>
#<alt (* x (+ (* 5/2 wj) (/ wj x)))>
#<alt (* 5/2 (* wj x))>
#<alt (* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))>
#<alt 1>
#<alt (+ 1 (* 5/2 x))>
#<alt (+ 1 (* 5/2 x))>
#<alt (+ 1 (* 5/2 x))>
#<alt (* 5/2 x)>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* 5/2 x)>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* x (+ 5/2 (/ 1 x)))>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
#<alt (* -1/2 wj)>
Calls

96 calls:

TimeVariablePointExpression
10.0ms
wj
@-inf
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
2.0ms
x
@inf
(+ x (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))))
1.0ms
x
@inf
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
1.0ms
x
@0
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
1.0ms
wj
@inf
(/ (/ x (exp wj)) (+ wj 1))

rewrite299.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
2272×*-lowering-*.f32
2272×*-lowering-*.f64
1248×sum4-define
1240×/-lowering-/.f32
1240×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031162
1263150
23071150
08617150
Stop Event
iter limit
node limit
Counts
19 → 487
Calls
Call 1
Inputs
(+ x (* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))))
(* wj (+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2)))))
(+ (+ 1 (- -1 (+ x x))) (* wj (+ (+ x 1) (* x 3/2))))
(+ 1 (- -1 (+ x x)))
(+ wj (/ (- wj x) (- -1 wj)))
(/ (- wj x) (- -1 wj))
(- wj x)
(- -1 wj)
(+ wj (/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj)))
(/ (- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x) (- -1 wj))
(- (* wj (+ (+ x 1) (* x (* -1/2 wj)))) x)
(* wj (+ (+ x 1) (* x (* -1/2 wj))))
(/ (/ x (exp wj)) (+ wj 1))
(/ x (exp wj))
(exp wj)
(+ wj 1)
(* wj (+ (+ x 1) (* x 3/2)))
(+ (+ x 1) (* x 3/2))
(* -1/2 wj)
Outputs
(+.f64 x (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))))
(+.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) x)
(+.f64 (*.f64 wj (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (*.f64 wj wj)) x))
(+.f64 (+.f64 x (*.f64 wj (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (*.f64 wj wj)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))))) (/.f64 (*.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))))) (-.f64 x (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))))))
(fma.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))) x)
(fma.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))) wj x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) (-.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) (*.f64 (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))) (*.f64 wj (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))))))))
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(/.f64 (*.f64 wj (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 wj wj) (*.f64 x x)) #s(literal 1/4 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) wj) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 wj (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 wj (*.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 wj wj) (*.f64 x x)) #s(literal 1/4 binary64))) wj) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))) wj)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 wj) x) (+.f64 wj #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x))))
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 wj))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (exp.f64 wj) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (exp.f64 wj)) #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64)))) (exp.f64 wj))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (exp.f64 wj))
(pow.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (exp.f64 wj) x) (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (/.f64 (exp.f64 wj) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64)))))
(*.f64 x (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) (+.f64 wj #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64))))
(*.f64 (/.f64 x (exp.f64 wj)) (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (exp.f64 wj))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 x (exp.f64 wj)))
(*.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj)))) (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj)))
(*.f64 (/.f64 (/.f64 x (exp.f64 wj)) (+.f64 (*.f64 wj wj) #s(literal -1 binary64))) (+.f64 wj #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 wj #s(literal 1 binary64)) x) #s(literal -1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) wj)))
(*.f64 (pow.f64 (/.f64 (+.f64 wj #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 wj))))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 wj) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (exp.f64 wj))))
(/.f64 x (exp.f64 wj))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 wj) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 wj) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 wj) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (exp.f64 wj)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 wj))))
(pow.f64 (/.f64 (exp.f64 wj) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (exp.f64 wj) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) wj)))
(*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 wj)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 wj))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) x)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) wj)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 wj)
(+.f64 wj #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) wj)
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 wj #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj)) (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal -1 binary64)) (+.f64 (*.f64 wj wj) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj))) (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj))) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))))
(/.f64 (+.f64 (*.f64 wj wj) #s(literal -1 binary64)) (+.f64 wj #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj)))) (neg.f64 (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj))))
(/.f64 (neg.f64 (+.f64 (*.f64 wj wj) #s(literal -1 binary64))) (neg.f64 (+.f64 wj #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj)) (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 wj #s(literal -1 binary64)) (+.f64 (*.f64 wj wj) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (*.f64 wj wj))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) wj))))
(*.f64 (+.f64 (*.f64 wj wj) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal -1 binary64))))
(+.f64 (*.f64 x wj) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(+.f64 (*.f64 x wj) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) wj))
(+.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)))
(+.f64 (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)) (*.f64 wj (+.f64 x #s(literal 1 binary64))))
(fma.f64 wj (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) wj (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)))
(/.f64 (+.f64 (*.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (+.f64 (*.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) (*.f64 wj (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj))) (*.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj))))))
(/.f64 (-.f64 (*.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) (*.f64 wj (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj)))) (-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal 3/2 binary64) wj))))
(/.f64 (*.f64 wj (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 wj (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) wj) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) wj) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 wj (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) wj)
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) x)
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(fma.f64 x #s(literal 3/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64)))) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))))
(*.f64 wj #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) wj)

simplify313.0ms (2.7%)

Algorithm
egg-herbie
Rules
3288×+-lowering-+.f64
3288×+-lowering-+.f32
3230×*-lowering-*.f32
3230×*-lowering-*.f64
1988×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05014059
118583537
273513520
081303520
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(pow wj 2)
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(* x (+ 1 (* wj (- (* 5/2 wj) 2))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* -1 (* x (- (* wj (+ 2 (* -5/2 wj))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj)))) 1)))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x)))))))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x)))))))
(* (pow wj 2) (+ 1 (+ x (* 3/2 x))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (- (+ 1 (+ x (+ (* 3/2 x) (/ x (pow wj 2))))) (* 2 (/ x wj))))
(* (pow wj 2) (- (+ 1 (+ x (+ (* 3/2 x) (/ x (pow wj 2))))) (* 2 (/ x wj))))
(* (pow wj 2) (+ 1 (+ x (* 3/2 x))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 3/2 x)))))
(* -2 (* wj x))
(* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))
(* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))
(* wj (+ (* -2 x) (* wj (+ 1 (+ x (* 3/2 x))))))
(* (pow wj 2) (+ 1 (+ x (* 3/2 x))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (* 3/2 x))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* (pow wj 2) (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(pow wj 2)
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(* wj (* x (- (* 5/2 wj) 2)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* -1 (* wj (* x (+ 2 (* -5/2 wj)))))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* wj (+ 2 (* -5/2 wj))))))
wj
(+ wj (* x (- (* 5/2 wj) 2)))
(+ wj (* x (- (* 5/2 wj) 2)))
(+ wj (* x (- (* 5/2 wj) 2)))
(* x (- (* 5/2 wj) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* -1 (* x (+ 2 (* -5/2 wj))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -1 (* x (+ 2 (+ (* -5/2 wj) (* -1 (/ wj x))))))
(* -2 x)
(- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))
(- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))
(- (* wj (+ 1 (+ x (* 3/2 x)))) (* 2 x))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* wj (+ 1 (+ x (+ (* -2 (/ x wj)) (* 3/2 x)))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))
(* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))
(* -1 (* wj (+ (* -1 (+ 1 (+ x (* 3/2 x)))) (* 2 (/ x wj)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
x
(+ x (* wj (+ 1 (* -1 (- 1 (* -1 x))))))
(+ x (* wj (+ 1 (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x)))))))
(+ x (* wj (+ 1 (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1))))))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (* -1 (/ (- (* -1 x) 1) (pow wj 2)))) (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 3))) (* -1 (/ (- (* -1 x) 1) (pow wj 2))))) (/ 1 wj)))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x wj)) 1) wj)) 1)))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1) wj)) 1)))
(+ wj (* -1 (/ wj (+ 1 wj))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))
(+ wj (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj))))
(/ x (+ 1 wj))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))))
(/ x (+ 1 wj))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
x
(+ x (* -1 (* wj (- 1 (* -1 x)))))
(+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))
(+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))
-1
(- (* -1 (/ (- (* -1 x) 1) wj)) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)
-1
(- (+ (/ 1 wj) (/ x wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)
(* -1 (/ wj (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(/ x (+ 1 wj))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(/ x (+ 1 wj))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 x)
(- wj x)
(- wj x)
(- wj x)
wj
(* wj (+ 1 (* -1 (/ x wj))))
(* wj (+ 1 (* -1 (/ x wj))))
(* wj (+ 1 (* -1 (/ x wj))))
wj
(* -1 (* wj (- (/ x wj) 1)))
(* -1 (* wj (- (/ x wj) 1)))
(* -1 (* wj (- (/ x wj) 1)))
wj
(+ wj (* -1 x))
(+ wj (* -1 x))
(+ wj (* -1 x))
(* -1 x)
(* x (- (/ wj x) 1))
(* x (- (/ wj x) 1))
(* x (- (/ wj x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ wj x)))))
(* -1 (* x (+ 1 (* -1 (/ wj x)))))
(* -1 (* x (+ 1 (* -1 (/ wj x)))))
-1
(- (* -1 wj) 1)
(- (* -1 wj) 1)
(- (* -1 wj) 1)
(* -1 wj)
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 wj)
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
(* -1 (* wj (+ 1 (/ 1 wj))))
x
(+ x (* wj (+ 1 (* -1 (- (+ 1 x) (* -1 x))))))
(+ x (* wj (+ 1 (+ (* -1 (* wj (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x)))))))
(+ x (* wj (+ 1 (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 x) (+ (* -1 x) (* -1/2 x))))) (* -1 (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))))))))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (* 1/2 x))))
(* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x)))))
(* wj (+ 1 (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ 1 x) (+ (* -1 x) (* -1/2 x))) (pow wj 3))) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x))))))
(* -1 (* wj (- (* -1/2 x) 1)))
(* -1 (* wj (- (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))) (+ 1 (* -1/2 (/ x wj))))))
(* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (- (* -1 (- (+ 1 x) (* -1/2 x))) x) wj))) wj)) (* -1/2 x)) 1)))
(* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (- (+ (* -1 (- (+ 1 x) (* -1/2 x))) (* -1 (/ (+ (* -1 x) (* -1 (- (+ 1 x) (* -1/2 x)))) wj))) x) wj))) wj)) (* -1/2 x)) 1)))
(+ wj (* -1 (/ wj (+ 1 wj))))
(+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))
(+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))
(+ wj (+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj)))))
(* -1 (/ (* x (- (* wj (+ 1 (* -1/2 wj))) 1)) (+ 1 wj)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj))) (/ wj x))))
(/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (* -1 (/ (+ wj (* -1 (/ wj (+ 1 wj)))) x)))))
x
(+ x (* -1 (* wj (- (+ 1 x) (* -1 x)))))
(+ x (* wj (+ (* -1 (* wj (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)))) (* -1 (- (+ 1 x) (* -1 x))))))
(+ x (* wj (+ (* -1 (- (+ 1 x) (* -1 x))) (* wj (+ (* -1 (* wj (- (+ 1 x) (+ (* -1 x) (* -1/2 x))))) (* -1 (- (+ (* -1 x) (* -1/2 x)) (+ 1 x))))))))
(* 1/2 (* wj x))
(* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (* 1/2 x)))
(* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x))))
(* wj (+ (* -1 (/ (- (+ 1 x) (* -1/2 x)) wj)) (+ (* -1 (/ (- (+ 1 x) (+ (* -1 x) (* -1/2 x))) (pow wj 3))) (+ (* -1 (/ (- (+ (* -1 x) (* -1/2 x)) (+ 1 x)) (pow wj 2))) (* 1/2 x)))))
(* 1/2 (* wj x))
(* -1 (* wj (+ (* -1 (/ (- (* -1 (+ 1 x)) (* 1/2 x)) wj)) (* -1/2 x))))
(* -1 (* wj (+ (* -1 (/ (- (+ (* -1 (+ 1 x)) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))
(* -1 (* wj (+ (* -1 (/ (- (+ (* -1 (+ 1 x)) (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* -1 (- (* -1 (+ 1 x)) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))
(* -1 (/ wj (+ 1 wj)))
(+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))
(+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))
(+ (* -1 (* x (- (/ (* wj (+ 1 (* -1/2 wj))) (+ 1 wj)) (/ 1 (+ 1 wj))))) (* -1 (/ wj (+ 1 wj))))
(* -1 (/ (* x (- (* wj (+ 1 (* -1/2 wj))) 1)) (+ 1 wj)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (* -1 (/ (- (* wj (+ 1 (* -1/2 wj))) 1) (+ 1 wj)))))
(/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* wj (- (* 1/2 wj) 1))) (+ 1 wj))) (/ wj (* x (+ 1 wj))))))
(* -1 x)
(- (* wj (+ 1 x)) x)
(- (* wj (+ 1 (+ x (* -1/2 (* wj x))))) x)
(- (* wj (+ 1 (+ x (* -1/2 (* wj x))))) x)
(* -1/2 (* (pow wj 2) x))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1 (/ x (pow wj 2))) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj)))))
(* (pow wj 2) (+ (* -1 (/ x (pow wj 2))) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj)))))
(* -1/2 (* (pow wj 2) x))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1 (/ (+ (* -1 (+ 1 x)) (/ x wj)) wj)) (* -1/2 x)))
(* (pow wj 2) (+ (* -1 (/ (+ (* -1 (+ 1 x)) (/ x wj)) wj)) (* -1/2 x)))
wj
(+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))
(+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))
(+ wj (* x (- (* wj (+ 1 (* -1/2 wj))) 1)))
(* x (- (* wj (+ 1 (* -1/2 wj))) 1))
(* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))
(* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))
(* x (- (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)) 1))
(* -1 (* x (+ 1 (* wj (- (* 1/2 wj) 1)))))
(* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))
(* -1 (* x (+ 1 (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1))))))
(* wj (+ 1 x))
(* wj (+ 1 (+ x (* -1/2 (* wj x)))))
(* wj (+ 1 (+ x (* -1/2 (* wj x)))))
(* wj (+ 1 (+ x (* -1/2 (* wj x)))))
(* -1/2 (* (pow wj 2) x))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* -1/2 (* (pow wj 2) x))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
(* (pow wj 2) (+ (* -1/2 x) (+ (/ 1 wj) (/ x wj))))
wj
(+ wj (* wj (* x (+ 1 (* -1/2 wj)))))
(+ wj (* wj (* x (+ 1 (* -1/2 wj)))))
(+ wj (* wj (* x (+ 1 (* -1/2 wj)))))
(* wj (* x (+ 1 (* -1/2 wj))))
(* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))
(* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))
(* x (+ (* wj (+ 1 (* -1/2 wj))) (/ wj x)))
(* -1 (* wj (* x (- (* 1/2 wj) 1))))
(* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))
(* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))
(* -1 (* x (+ (* -1 (/ wj x)) (* wj (- (* 1/2 wj) 1)))))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
(/ x (* (exp wj) (+ 1 wj)))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x))))
(/ x (* wj (exp wj)))
(/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj)
(/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj)
(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj)
(/ x (* wj (exp wj)))
(* -1 (/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj))
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj))) wj))
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj))) wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
x
(+ x (* -1 (* wj x)))
(+ x (* wj (- (* -1 (* wj (+ (* -1 x) (* 1/2 x)))) x)))
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -1 (+ (* -1 x) (* 1/2 x))) (+ (* -1/2 x) (* 1/6 x))))) (+ (* -1 x) (* 1/2 x)))) x)))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
(/ x (exp wj))
1
(+ 1 wj)
(+ 1 (* wj (+ 1 (* 1/2 wj))))
(+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
(exp wj)
1
(+ 1 wj)
(+ 1 wj)
(+ 1 wj)
wj
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
wj
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (/ 1 wj)))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
(* wj (+ 1 (+ x (* 3/2 x))))
wj
(+ wj (* 5/2 (* wj x)))
(+ wj (* 5/2 (* wj x)))
(+ wj (* 5/2 (* wj x)))
(* 5/2 (* wj x))
(* x (+ (* 5/2 wj) (/ wj x)))
(* x (+ (* 5/2 wj) (/ wj x)))
(* x (+ (* 5/2 wj) (/ wj x)))
(* 5/2 (* wj x))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
1
(+ 1 (* 5/2 x))
(+ 1 (* 5/2 x))
(+ 1 (* 5/2 x))
(* 5/2 x)
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* 5/2 x)
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* x (+ 5/2 (/ 1 x)))
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
(* -1/2 wj)
Outputs
(pow wj 2)
(*.f64 wj wj)
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(exp.f64 wj)
(exp wj)
(exp.f64 wj)
1
#s(literal 1 binary64)
(+ 1 wj)
(+.f64 wj #s(literal 1 binary64))
(+ 1 wj)
(+.f64 wj #s(literal 1 binary64))
(+ 1 wj)
(+.f64 wj #s(literal 1 binary64))
wj
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
wj
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
(* wj (+ 1 (/ 1 wj)))
(+.f64 wj #s(literal 1 binary64))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* wj (+ 1 (+ x (* 3/2 x))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
wj
(+ wj (* 5/2 (* wj x)))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(+ wj (* 5/2 (* wj x)))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(+ wj (* 5/2 (* wj x)))
(*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64))))
(* 5/2 (* wj x))
(*.f64 wj (*.f64 x #s(literal 5/2 binary64)))
(* x (+ (* 5/2 wj) (/ wj x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) (/.f64 wj x)))
(* x (+ (* 5/2 wj) (/ wj x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) (/.f64 wj x)))
(* x (+ (* 5/2 wj) (/ wj x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) (/.f64 wj x)))
(* 5/2 (* wj x))
(*.f64 wj (*.f64 x #s(literal 5/2 binary64)))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj #s(literal -5/2 binary64)) (/.f64 wj x))))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj #s(literal -5/2 binary64)) (/.f64 wj x))))
(* -1 (* x (+ (* -5/2 wj) (* -1 (/ wj x)))))
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj #s(literal -5/2 binary64)) (/.f64 wj x))))
1
#s(literal 1 binary64)
(+ 1 (* 5/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(+ 1 (* 5/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(+ 1 (* 5/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* 5/2 x)
(*.f64 x #s(literal 5/2 binary64))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* 5/2 x)
(*.f64 x #s(literal 5/2 binary64))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* x (+ 5/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 5/2 binary64)))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))
(* -1/2 wj)
(*.f64 wj #s(literal -1/2 binary64))

eval114.0ms (1%)

Compiler

Compiled 21807 to 2428 computations (88.9% saved)

prune120.0ms (1.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New88720907
Fresh9514
Picked235
Done000
Total89828926
Accuracy
99.9%
Counts
926 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(fma.f64 (-.f64 wj x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) wj)
90.7%
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))) (+.f64 wj #s(literal 1 binary64)))
91.5%
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
3.6%
(/.f64 (/.f64 x (exp.f64 wj)) wj)
56.8%
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
41.6%
(/.f64 (-.f64 (*.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))))
90.7%
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
41.6%
(/.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 3 binary64))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj (/.f64 x (exp.f64 wj)))))))
91.2%
(/.f64 (+.f64 x (*.f64 wj (-.f64 (*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) wj) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))) x))) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
89.9%
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
56.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
6.0%
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
91.0%
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
96.6%
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 wj (+.f64 (*.f64 wj (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))))
97.2%
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
90.2%
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
96.2%
(+.f64 x (*.f64 wj wj))
82.9%
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
4.9%
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
4.7%
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
4.2%
(+.f64 wj #s(literal -1 binary64))
90.6%
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
84.2%
(*.f64 x (+.f64 (/.f64 wj x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) x))))
9.3%
(*.f64 wj wj)
89.8%
x
4.3%
wj
Compiler

Compiled 906 to 476 computations (47.5% saved)

simplify214.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
cost-diff0
(-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj))
cost-diff0
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
cost-diff0
(*.f64 wj (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))
cost-diff0
(/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 wj (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))
cost-diff0
(+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))
cost-diff0
(*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
cost-diff0
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
Rules
3472×+-lowering-+.f64
3472×+-lowering-+.f32
2964×*-lowering-*.f32
2964×*-lowering-*.f64
1732×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030210
182202
2243202
3705202
42096202
08550202
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* wj (+ wj (* x (+ (* wj 5/2) -2)))))
x
(* wj (+ wj (* x (+ (* wj 5/2) -2))))
wj
(+ wj (* x (+ (* wj 5/2) -2)))
(* x (+ (* wj 5/2) -2))
(+ (* wj 5/2) -2)
(* wj 5/2)
5/2
-2
x
(+ wj (* wj (* x 1/2)))
wj
(* wj (* x 1/2))
(* x 1/2)
x
1/2
(+ wj (/ (* wj (* wj (* x -1/2))) (- -1 wj)))
wj
(/ (* wj (* wj (* x -1/2))) (- -1 wj))
(* wj (* wj (* x -1/2)))
(* wj (* x -1/2))
(* x -1/2)
x
-1/2
(- -1 wj)
-1
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))
(- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj))
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
(/ (- wj x) (- -1 wj))
(- wj x)
wj
x
(- -1 wj)
-1
(/ (- -1 wj) (- wj x))
(* wj wj)
(- (/ (- wj x) (- -1 wj)) wj)
Outputs
(+ x (* wj (+ wj (* x (+ (* wj 5/2) -2)))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
x
(* wj (+ wj (* x (+ (* wj 5/2) -2))))
(*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
wj
(+ wj (* x (+ (* wj 5/2) -2)))
(+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))
(* x (+ (* wj 5/2) -2))
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))
(+ (* wj 5/2) -2)
(+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))
(* wj 5/2)
(*.f64 wj #s(literal 5/2 binary64))
5/2
#s(literal 5/2 binary64)
-2
#s(literal -2 binary64)
x
(+ wj (* wj (* x 1/2)))
(*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
wj
(* wj (* x 1/2))
(*.f64 wj (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ wj (/ (* wj (* wj (* x -1/2))) (- -1 wj)))
(*.f64 wj (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 wj (-.f64 #s(literal -1 binary64) wj)))) #s(literal 1 binary64)))
wj
(/ (* wj (* wj (* x -1/2))) (- -1 wj))
(*.f64 wj (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 wj (-.f64 #s(literal -1 binary64) wj)))))
(* wj (* wj (* x -1/2)))
(*.f64 x (*.f64 wj (*.f64 wj #s(literal -1/2 binary64))))
(* wj (* x -1/2))
(*.f64 x (*.f64 wj #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))
(/.f64 (-.f64 (/.f64 (-.f64 wj x) (*.f64 (-.f64 #s(literal -1 binary64) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj))
(-.f64 (/.f64 (-.f64 wj x) (*.f64 (-.f64 #s(literal -1 binary64) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))) (*.f64 wj wj))
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
(/.f64 (-.f64 wj x) (*.f64 (-.f64 #s(literal -1 binary64) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))
(/ (- wj x) (- -1 wj))
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
(- wj x)
(-.f64 wj x)
wj
x
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)
(/ (- -1 wj) (- wj x))
(/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))
(* wj wj)
(*.f64 wj wj)
(- (/ (- wj x) (- -1 wj)) wj)
(-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)

localize172.0ms (1.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))
accuracy99.7%
(/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
accuracy91.2%
(-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj))
accuracy66.5%
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
accuracy100.0%
(*.f64 wj (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
accuracy100.0%
(/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj))
accuracy99.8%
(*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 wj (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))
accuracy100.0%
(*.f64 wj #s(literal 5/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))
accuracy99.6%
(*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
Results
94.0ms213×0valid
30.0ms43×1valid
Compiler

Compiled 218 to 31 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 49.0ms (59.3% of total)
ival-div: 14.0ms (16.9% of total)
ival-add: 10.0ms (12.1% of total)
ival-sub: 6.0ms (7.3% of total)
backward-pass: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)

series38.0ms (0.3%)

Counts
17 → 384
Calls
Call 1
Inputs
#<alt (+ x (* wj (+ wj (* x (+ (* wj 5/2) -2)))))>
#<alt (* wj (+ wj (* x (+ (* wj 5/2) -2))))>
#<alt (+ wj (* x (+ (* wj 5/2) -2)))>
#<alt (* x (+ (* wj 5/2) -2))>
#<alt (+ wj (* wj (* x 1/2)))>
#<alt (* wj (* x 1/2))>
#<alt (* x 1/2)>
#<alt (+ wj (/ (* wj (* wj (* x -1/2))) (- -1 wj)))>
#<alt (/ (* wj (* wj (* x -1/2))) (- -1 wj))>
#<alt (* wj (* wj (* x -1/2)))>
#<alt (* wj (* x -1/2))>
#<alt (/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))>
#<alt (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj))>
#<alt (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))>
#<alt (/ (- wj x) (- -1 wj))>
#<alt (* wj 5/2)>
#<alt (/ (- -1 wj) (- wj x))>
Outputs
#<alt (pow wj 2)>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))>
#<alt (* x (+ 1 (* wj (- (* 5/2 wj) 2))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))>
#<alt (* -1 (* x (- (* -1 (* wj (- (* 5/2 wj) 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))>
#<alt x>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))>
#<alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))>
#<alt (* (pow wj 2) (+ 1 (* 5/2 x)))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))>
#<alt (* -1 (* (pow wj 2) (- (* -5/2 x) 1)))>
#<alt (* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))>
#<alt (* (pow wj 2) (+ (* -1 (- (* -5/2 x) 1)) (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))>
#<alt (* (pow wj 2) (+ (* -1 (- (* -5/2 x) 1)) (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))>
#<alt (* -2 (* wj x))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))>
#<alt (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))>
#<alt (* (pow wj 2) (+ 1 (* 5/2 x)))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* -1 (* (pow wj 2) (- (* -5/2 x) 1)))>
#<alt (* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))>
#<alt (* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))>
#<alt (* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))>
#<alt (pow wj 2)>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))>
#<alt (* wj (* x (- (* 5/2 wj) 2)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))>
#<alt (* wj (* x (- (* 5/2 wj) 2)))>
#<alt (* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))>
#<alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))>
#<alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))>
#<alt (* wj (+ 1 (* 5/2 x)))>
#<alt (* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))>
#<alt (* -1 (* wj (- (* -5/2 x) 1)))>
#<alt (* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))>
#<alt (* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))>
#<alt (* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))>
#<alt wj>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (+ wj (* x (- (* 5/2 wj) 2)))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* x (- (+ (* 5/2 wj) (/ wj x)) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* x (- (* 5/2 wj) 2))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* 5/2 (* wj x)))>
#<alt (+ (* -2 x) (* 5/2 (* wj x)))>
#<alt (+ (* -2 x) (* 5/2 (* wj x)))>
#<alt (* 5/2 (* wj x))>
#<alt (* wj (+ (* -2 (/ x wj)) (* 5/2 x)))>
#<alt (* wj (+ (* -2 (/ x wj)) (* 5/2 x)))>
#<alt (* wj (+ (* -2 (/ x wj)) (* 5/2 x)))>
#<alt (* 5/2 (* wj x))>
#<alt (* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))>
#<alt (* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))>
#<alt (* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt wj>
#<alt (+ wj (* 1/2 (* wj x)))>
#<alt (+ wj (* 1/2 (* wj x)))>
#<alt (+ wj (* 1/2 (* wj x)))>
#<alt (* 1/2 (* wj x))>
#<alt (* x (+ (* 1/2 wj) (/ wj x)))>
#<alt (* x (+ (* 1/2 wj) (/ wj x)))>
#<alt (* x (+ (* 1/2 wj) (/ wj x)))>
#<alt (* 1/2 (* wj x))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 (* wj x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt wj>
#<alt (* wj (+ 1 (* 1/2 (* wj x))))>
#<alt (* wj (+ 1 (* wj (+ (* -1/2 (* wj x)) (* 1/2 x)))))>
#<alt (* wj (+ 1 (* wj (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* 1/2 (* wj x))))))))>
#<alt (* wj (+ 1 (* 1/2 x)))>
#<alt (* wj (+ 1 (+ (* -1/2 (/ x wj)) (* 1/2 x))))>
#<alt (* wj (+ 1 (+ (* -1/2 (/ x wj)) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2)))))))>
#<alt (* wj (+ 1 (+ (* -1/2 (/ x wj)) (+ (* -1/2 (/ x (pow wj 3))) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2))))))))>
#<alt (* -1 (* wj (- (* -1/2 x) 1)))>
#<alt (* -1 (* wj (- (+ (* -1/2 x) (* 1/2 (/ x wj))) 1)))>
#<alt (* -1 (* wj (- (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) 1)))>
#<alt (* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) wj)) (* -1/2 x)) 1)))>
#<alt wj>
#<alt (+ wj (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj))))>
#<alt (+ wj (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj))))>
#<alt (+ wj (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj))))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))>
#<alt (* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))>
#<alt (* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))>
#<alt (* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))>
#<alt (* 1/2 (* (pow wj 2) x))>
#<alt (* (pow wj 2) (+ (* -1/2 (* wj x)) (* 1/2 x)))>
#<alt (* (pow wj 2) (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* 1/2 (* wj x))))))>
#<alt (* (pow wj 2) (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* wj (+ (* -1/2 (* wj x)) (* 1/2 x)))))))>
#<alt (* 1/2 (* wj x))>
#<alt (* wj (+ (* -1/2 (/ x wj)) (* 1/2 x)))>
#<alt (* wj (+ (* -1/2 (/ x wj)) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2))))))>
#<alt (* wj (+ (* -1/2 (/ x wj)) (+ (* -1/2 (/ x (pow wj 3))) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2)))))))>
#<alt (* 1/2 (* wj x))>
#<alt (* -1 (* wj (+ (* -1/2 x) (* 1/2 (/ x wj)))))>
#<alt (* -1 (* wj (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) wj)) (* -1/2 x))))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* (pow wj 2) x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt (* -1/2 (* wj x))>
#<alt x>
#<alt (+ x (* -1 (* wj (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))>
#<alt (+ x (* wj (- (* wj (- (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))>
#<alt (+ x (* wj (- (* wj (- (+ (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (* wj (- (+ 2 (* 2 x)) (+ (* -1 (- 1 (* -1 x))) (+ (* 2 (/ (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))) x)) (+ (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 x) 1)) x) (/ (* (- (* -1 (- 1 (* -1 x))) 1) (- (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) x))))))) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))>
#<alt wj>
#<alt (* wj (- 1 (/ 1 wj)))>
#<alt (* wj (- (+ 1 (/ 1 (pow wj 2))) (+ (* -1 (/ x (pow wj 2))) (/ 1 wj))))>
#<alt (* wj (- (+ 1 (+ (* -2 (/ x (pow wj 3))) (+ (* -1 (/ (- (* -2 x) 2) (pow wj 3))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) (pow wj 3))) (+ (/ 1 wj) (* 2 (/ 1 (pow wj 3))))))))>
#<alt wj>
#<alt (* -1 (* wj (- (/ 1 wj) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x wj)) 1) wj)) 1)))>
#<alt (* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 x) (+ 1 (* 3 x))) wj)) (+ 1 x)) wj)) 1) wj)) 1)))>
#<alt (/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) (- (* -1 (/ wj (+ 1 wj))) wj))>
#<alt (- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))>
#<alt (- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (+ (* x (- (+ (/ 1 (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj))) (/ (pow wj 2) (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))) (+ (* -2 (/ wj (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))>
#<alt (- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (+ (* x (- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 4)))) (+ (/ 1 (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))) (/ (pow wj 2) (* (pow (+ 1 wj) 5) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 4)))))) (+ (/ 1 (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj))) (/ (pow wj 2) (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3))))) (+ (* -2 (/ wj (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))>
#<alt (/ x (+ 1 wj))>
#<alt (* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))) (* -1 (/ wj (* x (+ 1 wj))))))>
#<alt (* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (+ (/ wj x) (/ (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (pow x 2))))) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))) (pow x 2)))))>
#<alt (* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj))))))))) (pow x 3))) (+ (/ 1 (+ 1 wj)) (+ (/ wj x) (/ (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (pow x 2)))))) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))) (pow x 2)))))>
#<alt (/ x (+ 1 wj))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ wj (+ 1 wj))) (* -1 (/ (- (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) x)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ wj (+ 1 wj))) (* -1 (/ (- (+ (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (/ (* (+ 1 wj) (* (- (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) (- (* -1 (/ wj (+ 1 wj))) wj))) x))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) x)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))>
#<alt (pow x 2)>
#<alt (+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* -1 (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* wj (- (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt (* -1 (pow wj 2))>
#<alt (* (pow wj 2) (- (/ 1 (pow wj 2)) 1))>
#<alt (* (pow wj 2) (- (+ (* -2 (/ x (pow wj 3))) (/ 1 (pow wj 2))) (+ 1 (/ 2 (pow wj 3)))))>
#<alt (* (pow wj 2) (- (+ (* -2 (/ x (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (pow wj 4)))) (+ 1 (+ (* 2 (/ (- (* -2 x) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3)))))))>
#<alt (* -1 (pow wj 2))>
#<alt (* (pow wj 2) (- (/ 1 (pow wj 2)) 1))>
#<alt (* (pow wj 2) (- (+ (* -1 (/ (+ 2 (* 2 x)) (pow wj 3))) (/ 1 (pow wj 2))) 1))>
#<alt (* (pow wj 2) (- (+ (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) (pow wj 3))) (/ 1 (pow wj 2))) 1))>
#<alt (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))>
#<alt (- (+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))>
#<alt (- (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))>
#<alt (- (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (- (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))) (/ (pow wj 2) (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))) (/ (pow wj 2) (pow x 2))))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (pow x 2)>
#<alt (+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* wj (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ x wj))) (* 2 (/ 1 wj)))>
#<alt (- (+ 1 (+ (* -2 (/ x wj)) (/ (pow x 2) (pow wj 2)))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))>
#<alt (- (+ 1 (+ (* -2 (/ x wj)) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (pow wj 2))))) (+ (* -2 (/ x (pow wj 3))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ (- (pow x 2) (+ 1 (* 2 (- (* -2 x) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 (* 2 x)) wj)))>
#<alt (+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))>
#<alt (+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (+ (* 2 (/ x wj)) (+ (* 2 (/ 1 wj)) (pow x 2)))) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))>
#<alt (/ (pow wj 2) (pow (+ 1 wj) 2))>
#<alt (+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt x>
#<alt (+ x (* -1 (* wj (- 1 (* -1 x)))))>
#<alt (+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))>
#<alt (+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 x) 1) wj)) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)>
#<alt -1>
#<alt (- (+ (/ 1 wj) (/ x wj)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)>
#<alt (* -1 (/ wj (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))>
#<alt (/ x (+ 1 wj))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))>
#<alt (/ x (+ 1 wj))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (* 5/2 wj)>
#<alt (/ 1 x)>
#<alt (+ (* wj (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (+ (* wj (+ (* wj (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* wj (+ (* wj (+ (* wj (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt -1>
#<alt (- (* -1 (/ (- 1 (* -1 x)) wj)) 1)>
#<alt (- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (* -1 (/ (- 1 (* -1 x)) wj))) 1)>
#<alt (- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (+ (* -1 (/ (* (pow x 2) (- 1 (* -1 x))) (pow wj 3))) (* -1 (/ (- 1 (* -1 x)) wj)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ (+ 1 x) wj)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ x (/ (* x (+ 1 x)) wj))) wj)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ x (* -1 (/ (+ (* -1 (* x (+ 1 x))) (* -1 (/ (* (pow x 2) (+ 1 x)) wj))) wj)))) wj)) 1)>
#<alt (* -1 (/ (+ 1 wj) wj))>
#<alt (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 2))) (* -1 (/ (+ 1 wj) wj)))>
#<alt (+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 3))) (* -1 (/ (+ 1 wj) (pow wj 2))))))>
#<alt (+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (+ 1 wj) (pow wj 2))) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 4))) (* -1 (/ (+ 1 wj) (pow wj 3))))))))>
#<alt (/ (+ 1 wj) x)>
#<alt (/ (+ 1 (+ wj (/ (* wj (+ 1 wj)) x))) x)>
#<alt (/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (/ (* (pow wj 2) (+ 1 wj)) (pow x 2))))) x)>
#<alt (/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (+ (/ (* (pow wj 2) (+ 1 wj)) (pow x 2)) (/ (* (pow wj 3) (+ 1 wj)) (pow x 3)))))) x)>
#<alt (/ (+ 1 wj) x)>
#<alt (* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (* wj (+ 1 wj)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* wj (+ 1 wj)) (/ (* (pow wj 2) (+ 1 wj)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow wj 2) (+ 1 wj))) (* -1 (/ (* (pow wj 3) (+ 1 wj)) x))) x)) (* wj (+ 1 wj))) x))) x))>
Calls

96 calls:

TimeVariablePointExpression
5.0ms
wj
@-inf
(/ (* wj (* wj (* x -1/2))) (- -1 wj))
4.0ms
x
@0
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))
2.0ms
x
@0
(/ (- -1 wj) (- wj x))
1.0ms
wj
@0
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))
1.0ms
x
@inf
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))

rewrite390.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
3892×*-lowering-*.f32
3892×*-lowering-*.f64
2486×fma-lowering-fma.f32
2486×fma-lowering-fma.f64
2238×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030167
1208129
22208128
08738128
Stop Event
iter limit
node limit
Counts
17 → 447
Calls
Call 1
Inputs
(+ x (* wj (+ wj (* x (+ (* wj 5/2) -2)))))
(* wj (+ wj (* x (+ (* wj 5/2) -2))))
(+ wj (* x (+ (* wj 5/2) -2)))
(* x (+ (* wj 5/2) -2))
(+ wj (* wj (* x 1/2)))
(* wj (* x 1/2))
(* x 1/2)
(+ wj (/ (* wj (* wj (* x -1/2))) (- -1 wj)))
(/ (* wj (* wj (* x -1/2))) (- -1 wj))
(* wj (* wj (* x -1/2)))
(* wj (* x -1/2))
(/ (- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj)) (- (/ (- wj x) (- -1 wj)) wj))
(- (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))) (* wj wj))
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
(/ (- wj x) (- -1 wj))
(* wj 5/2)
(/ (- -1 wj) (- wj x))
Outputs
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(+.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) x)
(+.f64 (*.f64 wj wj) (+.f64 (*.f64 (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)) (*.f64 x wj)) x))
(+.f64 (+.f64 x (*.f64 wj wj)) (*.f64 (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)) (*.f64 x wj)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))) (/.f64 (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))))
(fma.f64 wj wj (+.f64 (*.f64 (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)) (*.f64 x wj)) x))
(fma.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))) x)
(fma.f64 (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))) wj x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))))) (+.f64 (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))) x)))))
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(*.f64 wj #s(literal 5/2 binary64))
(*.f64 #s(literal 5/2 binary64) wj)
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (neg.f64 (/.f64 wj (-.f64 wj x))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x))) wj (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj)))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (neg.f64 (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj)))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (neg.f64 (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 x wj)) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))) (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x))) wj (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (neg.f64 (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj)))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (neg.f64 (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 x wj)) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))) (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x))) wj (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) wj)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj) (neg.f64 (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj)))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (/.f64 wj (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj) (neg.f64 (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 x wj)) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))) (*.f64 (+.f64 x wj) (/.f64 wj (-.f64 (*.f64 wj wj) (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (/.f64 wj (-.f64 wj x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (neg.f64 (/.f64 wj (-.f64 wj x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))) (neg.f64 (/.f64 wj (-.f64 wj x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj) (neg.f64 (/.f64 wj (-.f64 wj x))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal 0 binary64) (-.f64 wj x))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))
(/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (-.f64 wj x)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj))) (*.f64 (-.f64 wj x) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) (*.f64 (-.f64 wj x) (+.f64 wj #s(literal -1 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (*.f64 (-.f64 wj x) wj)) (*.f64 (-.f64 wj x) (-.f64 wj x)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))) (-.f64 wj x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) #s(literal 1 binary64)) (*.f64 (+.f64 wj #s(literal -1 binary64)) (-.f64 wj x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x)))) (/.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (/.f64 #s(literal -1 binary64) (-.f64 wj x))) (+.f64 (*.f64 (/.f64 wj (-.f64 wj x)) (/.f64 wj (-.f64 wj x))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (/.f64 wj (-.f64 wj x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (/.f64 #s(literal -1 binary64) (-.f64 wj x))) (*.f64 (/.f64 wj (-.f64 wj x)) (/.f64 wj (-.f64 wj x)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (/.f64 wj (-.f64 wj x))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) #s(literal 1 binary64)) (-.f64 wj x))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj))) (/.f64 #s(literal 1 binary64) (-.f64 wj x))) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) (/.f64 #s(literal 1 binary64) (-.f64 wj x))) (+.f64 wj #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) wj)) (-.f64 #s(literal 0 binary64) (-.f64 wj x)))
(pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) wj) (/.f64 #s(literal 1 binary64) (-.f64 wj x)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)) (/.f64 #s(literal -1 binary64) (-.f64 wj x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 wj x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (-.f64 #s(literal -1 binary64) wj))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 wj x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 wj x)))
(*.f64 (pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal 1 binary64) (*.f64 wj wj))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal -1 binary64))))

simplify367.0ms (3.2%)

Algorithm
egg-herbie
Rules
5468×+-lowering-+.f64
5468×+-lowering-+.f32
3842×*-lowering-*.f32
3842×*-lowering-*.f64
1730×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07245595
125355220
083395220
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(pow wj 2)
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(* x (+ 1 (* wj (- (* 5/2 wj) 2))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
(* -1 (* x (- (* -1 (* wj (- (* 5/2 wj) 2))) 1)))
(* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x))) 1)))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x))))))
(* (pow wj 2) (+ 1 (* 5/2 x)))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (+ (* 5/2 x) (/ x (pow wj 2))))))
(* -1 (* (pow wj 2) (- (* -5/2 x) 1)))
(* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))
(* (pow wj 2) (+ (* -1 (- (* -5/2 x) 1)) (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(* (pow wj 2) (+ (* -1 (- (* -5/2 x) 1)) (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(* -2 (* wj x))
(* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))
(* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))
(* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))
(* (pow wj 2) (+ 1 (* 5/2 x)))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* -1 (* (pow wj 2) (- (* -5/2 x) 1)))
(* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))
(* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))
(* (pow wj 2) (+ (* -2 (/ x wj)) (* -1 (- (* -5/2 x) 1))))
(pow wj 2)
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(+ (* wj (* x (- (* 5/2 wj) 2))) (pow wj 2))
(* wj (* x (- (* 5/2 wj) 2)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* x (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x)))
(* wj (* x (- (* 5/2 wj) 2)))
(* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))
(* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))
(* -1 (* x (+ (* -1 (* wj (- (* 5/2 wj) 2))) (* -1 (/ (pow wj 2) x)))))
(* -2 x)
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(+ (* -2 x) (* wj (+ 1 (* 5/2 x))))
(* wj (+ 1 (* 5/2 x)))
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* wj (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))))
(* -1 (* wj (- (* -5/2 x) 1)))
(* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))
(* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))
(* -1 (* wj (- (+ (* -5/2 x) (* 2 (/ x wj))) 1)))
wj
(+ wj (* x (- (* 5/2 wj) 2)))
(+ wj (* x (- (* 5/2 wj) 2)))
(+ wj (* x (- (* 5/2 wj) 2)))
(* x (- (* 5/2 wj) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* x (- (+ (* 5/2 wj) (/ wj x)) 2))
(* x (- (* 5/2 wj) 2))
(* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))
(* -1 (* x (+ (* -1 (- (* 5/2 wj) 2)) (* -1 (/ wj x)))))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* x (- (* 5/2 wj) 2))
(* -2 x)
(+ (* -2 x) (* 5/2 (* wj x)))
(+ (* -2 x) (* 5/2 (* wj x)))
(+ (* -2 x) (* 5/2 (* wj x)))
(* 5/2 (* wj x))
(* wj (+ (* -2 (/ x wj)) (* 5/2 x)))
(* wj (+ (* -2 (/ x wj)) (* 5/2 x)))
(* wj (+ (* -2 (/ x wj)) (* 5/2 x)))
(* 5/2 (* wj x))
(* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))
(* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))
(* -1 (* wj (+ (* -5/2 x) (* 2 (/ x wj)))))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (* 1/2 x)))
(* -1 (* wj (- (* -1/2 x) 1)))
(* -1 (* wj (- (* -1/2 x) 1)))
(* -1 (* wj (- (* -1/2 x) 1)))
(* -1 (* wj (- (* -1/2 x) 1)))
wj
(+ wj (* 1/2 (* wj x)))
(+ wj (* 1/2 (* wj x)))
(+ wj (* 1/2 (* wj x)))
(* 1/2 (* wj x))
(* x (+ (* 1/2 wj) (/ wj x)))
(* x (+ (* 1/2 wj) (/ wj x)))
(* x (+ (* 1/2 wj) (/ wj x)))
(* 1/2 (* wj x))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 wj))))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 (* wj x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
wj
(* wj (+ 1 (* 1/2 (* wj x))))
(* wj (+ 1 (* wj (+ (* -1/2 (* wj x)) (* 1/2 x)))))
(* wj (+ 1 (* wj (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* 1/2 (* wj x))))))))
(* wj (+ 1 (* 1/2 x)))
(* wj (+ 1 (+ (* -1/2 (/ x wj)) (* 1/2 x))))
(* wj (+ 1 (+ (* -1/2 (/ x wj)) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2)))))))
(* wj (+ 1 (+ (* -1/2 (/ x wj)) (+ (* -1/2 (/ x (pow wj 3))) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2))))))))
(* -1 (* wj (- (* -1/2 x) 1)))
(* -1 (* wj (- (+ (* -1/2 x) (* 1/2 (/ x wj))) 1)))
(* -1 (* wj (- (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) 1)))
(* -1 (* wj (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) wj)) (* -1/2 x)) 1)))
wj
(+ wj (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj))))
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(+ wj (* 1/2 (/ (* (pow wj 2) x) (+ 1 wj))))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))
(* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))
(* x (+ (* 1/2 (/ (pow wj 2) (+ 1 wj))) (/ wj x)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))
(* -1 (* x (+ (* -1 (/ wj x)) (* -1/2 (/ (pow wj 2) (+ 1 wj))))))
(* 1/2 (* (pow wj 2) x))
(* (pow wj 2) (+ (* -1/2 (* wj x)) (* 1/2 x)))
(* (pow wj 2) (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* 1/2 (* wj x))))))
(* (pow wj 2) (+ (* 1/2 x) (* wj (+ (* -1/2 x) (* wj (+ (* -1/2 (* wj x)) (* 1/2 x)))))))
(* 1/2 (* wj x))
(* wj (+ (* -1/2 (/ x wj)) (* 1/2 x)))
(* wj (+ (* -1/2 (/ x wj)) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2))))))
(* wj (+ (* -1/2 (/ x wj)) (+ (* -1/2 (/ x (pow wj 3))) (+ (* 1/2 x) (* 1/2 (/ x (pow wj 2)))))))
(* 1/2 (* wj x))
(* -1 (* wj (+ (* -1/2 x) (* 1/2 (/ x wj)))))
(* -1 (* wj (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x))))
(* -1 (* wj (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x wj))) wj)) (* -1/2 x)) wj)) (* -1/2 x))))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* 1/2 (/ (* (pow wj 2) x) (+ 1 wj)))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* (pow wj 2) x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
(* -1/2 (* wj x))
x
(+ x (* -1 (* wj (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))
(+ x (* wj (- (* wj (- (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))
(+ x (* wj (- (* wj (- (+ (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (* wj (- (+ 2 (* 2 x)) (+ (* -1 (- 1 (* -1 x))) (+ (* 2 (/ (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))) x)) (+ (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 x) 1)) x) (/ (* (- (* -1 (- 1 (* -1 x))) 1) (- (* -1 (/ (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)) x)) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) x))))))) (+ (* -1 (- (* -1 x) 1)) (* -1 (/ (* (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))) (- (* -1 (- 1 (* -1 x))) 1)) x))))) (+ 1 (+ (* -1 (- 1 (* -1 x))) (* 2 x))))))
wj
(* wj (- 1 (/ 1 wj)))
(* wj (- (+ 1 (/ 1 (pow wj 2))) (+ (* -1 (/ x (pow wj 2))) (/ 1 wj))))
(* wj (- (+ 1 (+ (* -2 (/ x (pow wj 3))) (+ (* -1 (/ (- (* -2 x) 2) (pow wj 3))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) (pow wj 3))) (+ (/ 1 wj) (* 2 (/ 1 (pow wj 3))))))))
wj
(* -1 (* wj (- (/ 1 wj) 1)))
(* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x wj)) 1) wj)) 1)))
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 x) (+ 1 (* 3 x))) wj)) (+ 1 x)) wj)) 1) wj)) 1)))
(/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) (- (* -1 (/ wj (+ 1 wj))) wj))
(- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))
(- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (+ (* x (- (+ (/ 1 (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj))) (/ (pow wj 2) (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))) (+ (* -2 (/ wj (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))
(- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (+ (* x (- (+ (* x (- (+ (* -2 (/ wj (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 4)))) (+ (/ 1 (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))) (/ (pow wj 2) (* (pow (+ 1 wj) 5) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 4)))))) (+ (/ 1 (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj))) (/ (pow wj 2) (* (pow (+ 1 wj) 4) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3))))) (+ (* -2 (/ wj (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2)))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 3)))))) (/ (pow wj 2) (* (+ 1 wj) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 3) (pow (- (* -1 (/ wj (+ 1 wj))) wj) 2))))) (/ (pow wj 2) (* (pow (+ 1 wj) 2) (- (* -1 (/ wj (+ 1 wj))) wj)))) (/ (pow wj 2) (- (* -1 (/ wj (+ 1 wj))) wj)))
(/ x (+ 1 wj))
(* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (/ wj x))) (* -1 (/ wj (* x (+ 1 wj))))))
(* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (/ 1 (+ 1 wj)) (+ (/ wj x) (/ (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (pow x 2))))) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))) (pow x 2)))))
(* x (- (+ (* -2 (/ wj (* x (+ 1 wj)))) (+ (* -1 (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj))))))))) (pow x 3))) (+ (/ 1 (+ 1 wj)) (+ (/ wj x) (/ (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))) (pow x 2)))))) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))) (pow x 2)))))
(/ x (+ 1 wj))
(* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ wj (+ 1 wj))) (* -1 (/ (- (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) x)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ wj (+ 1 wj))) (* -1 (/ (- (+ (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (/ (* (+ 1 wj) (* (- (* -1 (* (+ 1 wj) (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) (- (* -1 (/ wj (+ 1 wj))) wj))) x))) (* -1 (* (+ 1 wj) (* (- (* -1 (/ wj (+ 1 wj))) wj) (- (+ wj (* -2 (/ wj (+ 1 wj)))) (* -1 (/ wj (+ 1 wj)))))))) x)))) (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(pow x 2)
(+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* -1 (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* wj (- (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(* -1 (pow wj 2))
(* (pow wj 2) (- (/ 1 (pow wj 2)) 1))
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 3))) (/ 1 (pow wj 2))) (+ 1 (/ 2 (pow wj 3)))))
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (pow wj 4)))) (+ 1 (+ (* 2 (/ (- (* -2 x) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3)))))))
(* -1 (pow wj 2))
(* (pow wj 2) (- (/ 1 (pow wj 2)) 1))
(* (pow wj 2) (- (+ (* -1 (/ (+ 2 (* 2 x)) (pow wj 3))) (/ 1 (pow wj 2))) 1))
(* (pow wj 2) (- (+ (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) (pow wj 3))) (/ 1 (pow wj 2))) 1))
(- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2))
(- (+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))
(- (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))
(- (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2))) (pow wj 2))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (- (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))) (/ (pow wj 2) (pow x 2))))
(* (pow x 2) (- (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))) (/ (pow wj 2) (pow x 2))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (pow wj 2) (pow (+ 1 wj) 2)) (pow wj 2)) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(pow x 2)
(+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* wj (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
1
(- (+ 1 (* -2 (/ x wj))) (* 2 (/ 1 wj)))
(- (+ 1 (+ (* -2 (/ x wj)) (/ (pow x 2) (pow wj 2)))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))
(- (+ 1 (+ (* -2 (/ x wj)) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (pow wj 2))))) (+ (* -2 (/ x (pow wj 3))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ (- (pow x 2) (+ 1 (* 2 (- (* -2 x) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 x)) wj)))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (+ (* 2 (/ x wj)) (+ (* 2 (/ 1 wj)) (pow x 2)))) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(/ (pow wj 2) (pow (+ 1 wj) 2))
(+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
x
(+ x (* -1 (* wj (- 1 (* -1 x)))))
(+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))
(+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))
-1
(- (* -1 (/ (- (* -1 x) 1) wj)) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)
-1
(- (+ (/ 1 wj) (/ x wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)
(* -1 (/ wj (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(/ x (+ 1 wj))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(/ x (+ 1 wj))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(* 5/2 wj)
(/ 1 x)
(+ (* wj (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* wj (+ (* wj (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
(+ (* wj (+ (* wj (+ (* wj (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
-1
(- (* -1 (/ (- 1 (* -1 x)) wj)) 1)
(- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (* -1 (/ (- 1 (* -1 x)) wj))) 1)
(- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (+ (* -1 (/ (* (pow x 2) (- 1 (* -1 x))) (pow wj 3))) (* -1 (/ (- 1 (* -1 x)) wj)))) 1)
-1
(- (* -1 (/ (+ 1 x) wj)) 1)
(- (* -1 (/ (+ 1 (+ x (/ (* x (+ 1 x)) wj))) wj)) 1)
(- (* -1 (/ (+ 1 (+ x (* -1 (/ (+ (* -1 (* x (+ 1 x))) (* -1 (/ (* (pow x 2) (+ 1 x)) wj))) wj)))) wj)) 1)
(* -1 (/ (+ 1 wj) wj))
(+ (* -1 (/ (* x (+ 1 wj)) (pow wj 2))) (* -1 (/ (+ 1 wj) wj)))
(+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 3))) (* -1 (/ (+ 1 wj) (pow wj 2))))))
(+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (+ 1 wj) (pow wj 2))) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 4))) (* -1 (/ (+ 1 wj) (pow wj 3))))))))
(/ (+ 1 wj) x)
(/ (+ 1 (+ wj (/ (* wj (+ 1 wj)) x))) x)
(/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (/ (* (pow wj 2) (+ 1 wj)) (pow x 2))))) x)
(/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (+ (/ (* (pow wj 2) (+ 1 wj)) (pow x 2)) (/ (* (pow wj 3) (+ 1 wj)) (pow x 3)))))) x)
(/ (+ 1 wj) x)
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (* wj (+ 1 wj)) x))) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* wj (+ 1 wj)) (/ (* (pow wj 2) (+ 1 wj)) x)) x))) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow wj 2) (+ 1 wj))) (* -1 (/ (* (pow wj 3) (+ 1 wj)) x))) x)) (* wj (+ 1 wj))) x))) x))
Outputs
(pow wj 2)
(*.f64 wj wj)
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(+ (* x (+ 1 (* wj (- (* 5/2 wj) 2)))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(* x (+ 1 (* wj (- (* 5/2 wj) 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
(* x (+ 1 (+ (* wj (- (* 5/2 wj) 2)) (/ (pow wj 2) x))))
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(pow x 2)
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(pow x 2)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 wj (*.f64 x x))))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 wj (*.f64 x x))))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(/.f64 (*.f64 x x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 wj wj) x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 wj wj) x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) x)))
x
(+ x (* -1 (* wj (- 1 (* -1 x)))))
(+.f64 x (*.f64 wj (-.f64 #s(literal -1 binary64) x)))
(+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))
(+.f64 x (*.f64 wj (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 wj (+.f64 x #s(literal 1 binary64))))))
(+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))
(+.f64 x (*.f64 wj (+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (-.f64 #s(literal -1 binary64) x)))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) 1) wj)) 1)
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) wj) #s(literal -1 binary64))
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 wj wj)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) wj) #s(literal -1 binary64)))
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 wj wj)) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (*.f64 wj wj))) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) wj) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (+ (/ 1 wj) (/ x wj)) 1)
(+.f64 (/.f64 x wj) (+.f64 (/.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64)))
(- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)
(+.f64 (/.f64 (+.f64 (/.f64 x wj) (+.f64 (/.f64 #s(literal 1 binary64) wj) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) wj)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 x wj) (+.f64 (/.f64 #s(literal 1 binary64) wj) (-.f64 #s(literal -1 binary64) x))) wj)) (-.f64 #s(literal 0 binary64) wj)) #s(literal -1 binary64))
(* -1 (/ wj (+ 1 wj)))
(-.f64 #s(literal 0 binary64) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(-.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(-.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(-.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(/ x (+ 1 wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64))))))
(/ x (+ 1 wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 wj (*.f64 x (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64)))))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(* 5/2 wj)
(*.f64 wj #s(literal 5/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* wj (+ (/ 1 x) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 wj (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ (* wj (+ (* wj (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 wj (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 wj (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))))
(+ (* wj (+ (* wj (+ (* wj (+ (/ 1 (pow x 3)) (/ 1 (pow x 4)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 wj (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 wj (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 wj (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- 1 (* -1 x)) wj)) 1)
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) wj) #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (* -1 (/ (- 1 (* -1 x)) wj))) 1)
(+.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 wj wj)) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) wj) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* x (- 1 (* -1 x))) (pow wj 2))) (+ (* -1 (/ (* (pow x 2) (- 1 (* -1 x))) (pow wj 3))) (* -1 (/ (- 1 (* -1 x)) wj)))) 1)
(+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) wj) (*.f64 (*.f64 x x) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (*.f64 wj wj))))) (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 wj wj)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 x) wj)) 1)
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) wj) #s(literal -1 binary64))
(- (* -1 (/ (+ 1 (+ x (/ (* x (+ 1 x)) wj))) wj)) 1)
(+.f64 (/.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) wj)) (-.f64 #s(literal 0 binary64) wj)) #s(literal -1 binary64))
(- (* -1 (/ (+ 1 (+ x (* -1 (/ (+ (* -1 (* x (+ 1 x))) (* -1 (/ (* (pow x 2) (+ 1 x)) wj))) wj)))) wj)) 1)
(+.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) (/.f64 (+.f64 x #s(literal 1 binary64)) wj))) wj)) (-.f64 #s(literal 0 binary64) wj)) #s(literal -1 binary64))
(* -1 (/ (+ 1 wj) wj))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj))
(+ (* -1 (/ (* x (+ 1 wj)) (pow wj 2))) (* -1 (/ (+ 1 wj) wj)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj)) (/.f64 (*.f64 x (+.f64 wj #s(literal 1 binary64))) (*.f64 wj wj)))
(+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 3))) (* -1 (/ (+ 1 wj) (pow wj 2))))))
(-.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (*.f64 wj (*.f64 wj wj)))) (/.f64 (+.f64 wj #s(literal 1 binary64)) (*.f64 wj wj)))) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj))
(+ (* -1 (/ (+ 1 wj) wj)) (* x (+ (* -1 (/ (+ 1 wj) (pow wj 2))) (* x (+ (* -1 (/ (* x (+ 1 wj)) (pow wj 4))) (* -1 (/ (+ 1 wj) (pow wj 3))))))))
(-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 wj #s(literal 1 binary64)))) (*.f64 (*.f64 wj (*.f64 wj wj)) wj)) (/.f64 (+.f64 wj #s(literal 1 binary64)) (*.f64 wj (*.f64 wj wj))))) (/.f64 (+.f64 wj #s(literal 1 binary64)) (*.f64 wj wj)))) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj))
(/ (+ 1 wj) x)
(/.f64 (+.f64 wj #s(literal 1 binary64)) x)
(/ (+ 1 (+ wj (/ (* wj (+ 1 wj)) x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) x))) x)
(/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (/ (* (pow wj 2) (+ 1 wj)) (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 (+.f64 wj #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 wj wj) x) (/.f64 (+.f64 wj #s(literal 1 binary64)) x))) (/.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) x)) x)
(/ (+ 1 (+ wj (+ (/ (* wj (+ 1 wj)) x) (+ (/ (* (pow wj 2) (+ 1 wj)) (pow x 2)) (/ (* (pow wj 3) (+ 1 wj)) (pow x 3)))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 wj (/.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) x))) (+.f64 (*.f64 (/.f64 (*.f64 wj wj) x) (/.f64 (+.f64 wj #s(literal 1 binary64)) x)) (/.f64 (*.f64 (*.f64 wj (*.f64 wj wj)) (+.f64 wj #s(literal 1 binary64))) (*.f64 x (*.f64 x x))))) x)
(/ (+ 1 wj) x)
(/.f64 (+.f64 wj #s(literal 1 binary64)) x)
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (* wj (+ 1 wj)) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* wj (+ 1 wj)) (/ (* (pow wj 2) (+ 1 wj)) x)) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) (*.f64 (*.f64 wj wj) (/.f64 (+.f64 wj #s(literal 1 binary64)) x))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow wj 2) (+ 1 wj))) (* -1 (/ (* (pow wj 3) (+ 1 wj)) x))) x)) (* wj (+ 1 wj))) x))) x))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 wj wj) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (*.f64 wj (*.f64 wj wj)) (/.f64 (+.f64 wj #s(literal 1 binary64)) x))) x)) x)) (-.f64 #s(literal 0 binary64) x))

eval123.0ms (1.1%)

Compiler

Compiled 30111 to 2541 computations (91.6% saved)

prune119.0ms (1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New8978905
Fresh31720
Picked415
Done123
Total90528933
Accuracy
99.9%
Counts
933 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.7%
(fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (neg.f64 (/.f64 (*.f64 wj wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))))
57.0%
(/.f64 (fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (*.f64 wj wj))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
90.7%
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))) (+.f64 wj #s(literal 1 binary64)))
91.5%
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
3.6%
(/.f64 (/.f64 x (exp.f64 wj)) wj)
40.9%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (*.f64 wj wj))) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)))
6.0%
(/.f64 (-.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
90.7%
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
40.9%
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)))) (*.f64 wj (*.f64 wj wj))) (+.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (*.f64 wj wj) (/.f64 (*.f64 (-.f64 wj x) wj) (-.f64 #s(literal -1 binary64) wj)))))
91.2%
(/.f64 (+.f64 x (*.f64 wj (-.f64 (*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) wj) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))) x))) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
4.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 wj wj) x)) (+.f64 wj #s(literal 1 binary64)))
89.9%
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
56.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
6.0%
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
91.0%
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
96.6%
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 wj (+.f64 (*.f64 wj (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))))
96.8%
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
90.2%
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
96.2%
(+.f64 x (*.f64 wj wj))
4.2%
(+.f64 wj #s(literal -1 binary64))
90.6%
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
4.1%
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
84.2%
(*.f64 x (+.f64 (/.f64 wj x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) x))))
9.3%
(*.f64 wj wj)
89.8%
x
4.3%
wj
Compiler

Compiled 998 to 489 computations (51% saved)

simplify146.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
cost-diff0
(-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
cost-diff0
(/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
cost-diff0
(*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))))
cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 wj (*.f64 x #s(literal -2 binary64)))
cost-diff0
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 wj wj)
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
cost-diff0
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
Rules
2168×*-lowering-*.f32
2168×*-lowering-*.f64
1596×fnmadd-define
1408×sum4-define
1050×neg-lowering-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029233
187220
2244219
3800219
43189219
08473219
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ x (* wj (+ wj (* x -2))))
x
(* wj (+ wj (* x -2)))
wj
(+ wj (* x -2))
(* x -2)
-2
(* wj wj)
wj
(+ x (* wj (* x -2)))
x
(* wj (* x -2))
wj
(* x -2)
-2
(/ (* x (+ 1 (* wj (+ -1 (* wj 1/2))))) (+ wj 1))
(* x (+ 1 (* wj (+ -1 (* wj 1/2)))))
x
(+ 1 (* wj (+ -1 (* wj 1/2))))
1
(* wj (+ -1 (* wj 1/2)))
wj
(+ -1 (* wj 1/2))
-1
(* wj 1/2)
1/2
(+ wj 1)
(/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))
1
(/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))
(- wj (/ (- wj x) (- -1 wj)))
wj
(/ (- wj x) (- -1 wj))
(- wj x)
x
(- -1 wj)
-1
(- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))
(* wj wj)
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
(/ (- -1 wj) (- wj x))
Outputs
(+ x (* wj (+ wj (* x -2))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
x
(* wj (+ wj (* x -2)))
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
wj
(+ wj (* x -2))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* wj wj)
(*.f64 wj wj)
wj
(+ x (* wj (* x -2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))))
x
(* wj (* x -2))
(*.f64 x (*.f64 wj #s(literal -2 binary64)))
wj
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* x (+ 1 (* wj (+ -1 (* wj 1/2))))) (+ wj 1))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))) (/.f64 x (+.f64 wj #s(literal 1 binary64))))
(* x (+ 1 (* wj (+ -1 (* wj 1/2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))))
x
(+ 1 (* wj (+ -1 (* wj 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* wj (+ -1 (* wj 1/2)))
(*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))
wj
(+ -1 (* wj 1/2))
(+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* wj 1/2)
(*.f64 wj #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ wj 1)
(+.f64 wj #s(literal 1 binary64))
(/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))
(/.f64 (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (+.f64 wj #s(literal 1 binary64))))) (+.f64 wj (/.f64 (-.f64 wj x) (+.f64 wj #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))
(/.f64 (+.f64 wj (/.f64 (-.f64 wj x) (+.f64 wj #s(literal 1 binary64)))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (+.f64 wj #s(literal 1 binary64))))))
(- wj (/ (- wj x) (- -1 wj)))
(+.f64 wj (/.f64 (-.f64 wj x) (+.f64 wj #s(literal 1 binary64))))
wj
(/ (- wj x) (- -1 wj))
(/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))
(- wj x)
(-.f64 wj x)
x
(- -1 wj)
(-.f64 #s(literal -1 binary64) wj)
-1
#s(literal -1 binary64)
(- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))
(+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))))
(* wj wj)
(*.f64 wj wj)
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
(/.f64 (-.f64 x wj) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (+.f64 wj #s(literal 1 binary64))))
(/ (- -1 wj) (- wj x))
(/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))

localize140.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
accuracy99.7%
(/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
accuracy91.2%
(-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))
accuracy66.4%
(/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))))
accuracy100.0%
(*.f64 wj #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64))))))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
accuracy99.6%
(*.f64 wj (*.f64 x #s(literal -2 binary64)))
accuracy100.0%
(*.f64 wj wj)
accuracy100.0%
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
accuracy99.6%
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
Results
63.0ms214×0valid
28.0ms42×1valid
Compiler

Compiled 240 to 30 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 16.0ms (33.2% of total)
ival-div: 14.0ms (29.1% of total)
ival-add: 9.0ms (18.7% of total)
ival-sub: 6.0ms (12.5% of total)
backward-pass: 3.0ms (6.2% of total)
const: 1.0ms (2.1% of total)

series36.0ms (0.3%)

Counts
18 → 372
Calls
Call 1
Inputs
#<alt (+ x (* wj (+ wj (* x -2))))>
#<alt (* wj (+ wj (* x -2)))>
#<alt (+ wj (* x -2))>
#<alt (* x -2)>
#<alt (* wj wj)>
#<alt (+ x (* wj (* x -2)))>
#<alt (* wj (* x -2))>
#<alt (/ (* x (+ 1 (* wj (+ -1 (* wj 1/2))))) (+ wj 1))>
#<alt (* x (+ 1 (* wj (+ -1 (* wj 1/2)))))>
#<alt (+ 1 (* wj (+ -1 (* wj 1/2))))>
#<alt (* wj (+ -1 (* wj 1/2)))>
#<alt (/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))>
#<alt (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))>
#<alt (- wj (/ (- wj x) (- -1 wj)))>
#<alt (/ (- wj x) (- -1 wj))>
#<alt (* wj 1/2)>
#<alt (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))>
#<alt (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))>
Outputs
#<alt (pow wj 2)>
#<alt (+ (* x (+ 1 (* -2 wj))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* -2 wj))) (pow wj 2))>
#<alt (+ (* x (+ 1 (* -2 wj))) (pow wj 2))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))>
#<alt (* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))>
#<alt (* -1 (* x (- (* 2 wj) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))>
#<alt x>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* wj (+ wj (* -2 x))))>
#<alt (+ x (* wj (+ wj (* -2 x))))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))>
#<alt (* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))>
#<alt (* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))>
#<alt (* -2 (* wj x))>
#<alt (* wj (+ wj (* -2 x)))>
#<alt (* wj (+ wj (* -2 x)))>
#<alt (* wj (+ wj (* -2 x)))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (* (pow wj 2) (+ 1 (* -2 (/ x wj))))>
#<alt (pow wj 2)>
#<alt (+ (* -2 (* wj x)) (pow wj 2))>
#<alt (+ (* -2 (* wj x)) (pow wj 2))>
#<alt (+ (* -2 (* wj x)) (pow wj 2))>
#<alt (* -2 (* wj x))>
#<alt (* x (+ (* -2 wj) (/ (pow wj 2) x)))>
#<alt (* x (+ (* -2 wj) (/ (pow wj 2) x)))>
#<alt (* x (+ (* -2 wj) (/ (pow wj 2) x)))>
#<alt (* -2 (* wj x))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))>
#<alt (* -2 x)>
#<alt (+ wj (* -2 x))>
#<alt (+ wj (* -2 x))>
#<alt (+ wj (* -2 x))>
#<alt wj>
#<alt (* wj (+ 1 (* -2 (/ x wj))))>
#<alt (* wj (+ 1 (* -2 (/ x wj))))>
#<alt (* wj (+ 1 (* -2 (/ x wj))))>
#<alt wj>
#<alt (* -1 (* wj (- (* 2 (/ x wj)) 1)))>
#<alt (* -1 (* wj (- (* 2 (/ x wj)) 1)))>
#<alt (* -1 (* wj (- (* 2 (/ x wj)) 1)))>
#<alt wj>
#<alt (+ wj (* -2 x))>
#<alt (+ wj (* -2 x))>
#<alt (+ wj (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (/ wj x) 2))>
#<alt (* x (- (/ wj x) 2))>
#<alt (* x (- (/ wj x) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ 2 (* -1 (/ wj x)))))>
#<alt (* -1 (* x (+ 2 (* -1 (/ wj x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (pow wj 2)>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* x (+ 1 (* -2 wj)))>
#<alt (* -1 (* x (- (* 2 wj) 1)))>
#<alt (* -1 (* x (- (* 2 wj) 1)))>
#<alt (* -1 (* x (- (* 2 wj) 1)))>
#<alt (* -1 (* x (- (* 2 wj) 1)))>
#<alt x>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* -2 (* wj x)))>
#<alt (+ x (* -2 (* wj x)))>
#<alt (* -2 (* wj x))>
#<alt (* wj (+ (* -2 x) (/ x wj)))>
#<alt (* wj (+ (* -2 x) (/ x wj)))>
#<alt (* wj (+ (* -2 x) (/ x wj)))>
#<alt (* -2 (* wj x))>
#<alt (* -1 (* wj (+ (* -1 (/ x wj)) (* 2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ x wj)) (* 2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ x wj)) (* 2 x))))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (* -2 (* wj x))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt (/ (* x (+ 1 (* wj (- (* 1/2 wj) 1)))) (+ 1 wj))>
#<alt x>
#<alt (+ x (* wj (- (* -1 x) x)))>
#<alt (+ x (* wj (- (+ (* -1 x) (* wj (- (+ x (* 1/2 x)) (* -1 x)))) x)))>
#<alt (+ x (* wj (- (+ (* -1 x) (* wj (- (+ x (+ (* 1/2 x) (* wj (- (* -1 x) (+ x (* 1/2 x)))))) (* -1 x)))) x)))>
#<alt (* 1/2 (* wj x))>
#<alt (* wj (- (+ (* -1 (/ x wj)) (* 1/2 x)) (* 1/2 (/ x wj))))>
#<alt (* wj (- (+ (* -1 (/ x wj)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow wj 2))) (/ x (pow wj 2))))) (+ (* -1 (/ x (pow wj 2))) (* 1/2 (/ x wj)))))>
#<alt (* wj (- (+ (* -1 (/ x wj)) (+ (* -1 (/ x (pow wj 3))) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow wj 2))) (/ x (pow wj 2)))))) (+ (* -1 (/ x (pow wj 2))) (+ (* 1/2 (/ x wj)) (+ (* 1/2 (/ x (pow wj 3))) (/ x (pow wj 3)))))))>
#<alt (* 1/2 (* wj x))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (* -1 x) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 x) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* -1 (* wj (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 x) (* -1 (- (* -1 x) (* 1/2 x)))) wj))) (* -1 (- (* -1 x) (* 1/2 x)))) wj))) (* 1/2 x)) wj)) (* -1/2 x))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt (* x (+ 1 (* wj (- (* 1/2 wj) 1))))>
#<alt x>
#<alt (+ x (* -1 (* wj x)))>
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#<alt (/ x (+ 1 wj))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* 1/2 wj)>
#<alt (* -1 (pow x 2))>
#<alt (- (* wj (- (* 2 (pow x 2)) (* -2 x))) (pow x 2))>
#<alt (- (* wj (- (+ (* 2 (pow x 2)) (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))) (* -2 x))) (pow x 2))>
#<alt (- (* wj (- (+ (* 2 (pow x 2)) (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (+ (* wj (- (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))))) (* -2 x))) (pow x 2))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (- 1 (/ 1 (pow wj 2))))>
#<alt (* (pow wj 2) (- (+ 1 (/ 2 (pow wj 3))) (+ (* -2 (/ x (pow wj 3))) (/ 1 (pow wj 2)))))>
#<alt (* (pow wj 2) (- (+ 1 (+ (* 2 (/ (- (* -2 x) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3))))) (+ (* -2 (/ x (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (pow wj 4))))))>
#<alt (pow wj 2)>
#<alt (* (pow wj 2) (- 1 (/ 1 (pow wj 2))))>
#<alt (* (pow wj 2) (- (+ 1 (+ (* 2 (/ x (pow wj 3))) (/ 2 (pow wj 3)))) (/ 1 (pow wj 2))))>
#<alt (* (pow wj 2) (- (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 1 (* -2 (+ 2 (* 2 x)))) (pow x 2)) wj)) (+ 2 (* 2 x))) (pow wj 3)))) (/ 1 (pow wj 2))))>
#<alt (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (- (+ (* 2 (/ (* wj x) (pow (+ 1 wj) 2))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (- (+ (* x (- (* -1 (/ x (pow (+ 1 wj) 2))) (* -2 (/ wj (pow (+ 1 wj) 2))))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (- (+ (* x (- (* -1 (/ x (pow (+ 1 wj) 2))) (* -2 (/ wj (pow (+ 1 wj) 2))))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (* -1 (/ (pow x 2) (pow (+ 1 wj) 2)))>
#<alt (* (pow x 2) (- (* 2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (- (/ (pow wj 2) (pow x 2)) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2)))))))>
#<alt (* (pow x 2) (- (/ (pow wj 2) (pow x 2)) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2)))))))>
#<alt (* -1 (/ (pow x 2) (pow (+ 1 wj) 2)))>
#<alt (* (pow x 2) (- (* 2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (pow x 2)>
#<alt (+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* wj (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt (+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ x wj))) (* 2 (/ 1 wj)))>
#<alt (- (+ 1 (+ (* -2 (/ x wj)) (/ (pow x 2) (pow wj 2)))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))>
#<alt (- (+ 1 (+ (* -2 (/ x wj)) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (pow wj 2))))) (+ (* -2 (/ x (pow wj 3))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ (- (pow x 2) (+ 1 (* 2 (- (* -2 x) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 (* 2 x)) wj)))>
#<alt (+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))>
#<alt (+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (+ (* 2 (/ x wj)) (+ (* 2 (/ 1 wj)) (pow x 2)))) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))>
#<alt (/ (pow wj 2) (pow (+ 1 wj) 2))>
#<alt (+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))>
#<alt (/ (pow x 2) (pow (+ 1 wj) 2))>
#<alt (* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ x (* wj (* x -2)))
2.0ms
x
@0
(/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))
1.0ms
wj
@0
(/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))
1.0ms
x
@0
(/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))
1.0ms
wj
@0
(/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))

rewrite349.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
4136×*-lowering-*.f32
4136×*-lowering-*.f64
2670×fma-lowering-fma.f32
2670×fma-lowering-fma.f64
2436×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029190
1225128
22368128
09349128
Stop Event
iter limit
node limit
Counts
18 → 495
Calls
Call 1
Inputs
(+ x (* wj (+ wj (* x -2))))
(* wj (+ wj (* x -2)))
(+ wj (* x -2))
(* x -2)
(* wj wj)
(+ x (* wj (* x -2)))
(* wj (* x -2))
(/ (* x (+ 1 (* wj (+ -1 (* wj 1/2))))) (+ wj 1))
(* x (+ 1 (* wj (+ -1 (* wj 1/2)))))
(+ 1 (* wj (+ -1 (* wj 1/2))))
(* wj (+ -1 (* wj 1/2)))
(/ 1 (/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))))
(/ (- wj (/ (- wj x) (- -1 wj))) (- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))))
(- wj (/ (- wj x) (- -1 wj)))
(/ (- wj x) (- -1 wj))
(* wj 1/2)
(- (* wj wj) (/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x))))
(/ (/ (- wj x) (- -1 wj)) (/ (- -1 wj) (- wj x)))
Outputs
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x)
(+.f64 (*.f64 wj wj) (+.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) wj))))
(+.f64 (+.f64 x (*.f64 wj wj)) (*.f64 x (*.f64 #s(literal -2 binary64) wj)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(fma.f64 wj wj (+.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) wj))))
(fma.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))) x)
(fma.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) wj x)
(fma.f64 #s(literal 1 binary64) x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 x x) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))) (+.f64 (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))) (-.f64 (*.f64 x x) (*.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))) (neg.f64 (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))) (*.f64 x x)) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 x x) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 wj (*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))))
(+.f64 (*.f64 wj wj) (*.f64 x (*.f64 #s(literal -2 binary64) wj)))
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) wj)) (*.f64 wj wj))
(fma.f64 x (*.f64 #s(literal -2 binary64) wj) (*.f64 wj wj))
(fma.f64 wj wj (*.f64 x (*.f64 #s(literal -2 binary64) wj)))
(fma.f64 wj (*.f64 x #s(literal -2 binary64)) (*.f64 wj wj))
(fma.f64 #s(literal -2 binary64) (*.f64 x wj) (*.f64 wj wj))
(fma.f64 (*.f64 x #s(literal -2 binary64)) wj (*.f64 wj wj))
(fma.f64 (*.f64 x wj) #s(literal -2 binary64) (*.f64 wj wj))
(fma.f64 (*.f64 wj #s(literal -2 binary64)) x (*.f64 wj wj))
(/.f64 (+.f64 (*.f64 (*.f64 wj wj) (*.f64 (*.f64 wj wj) (*.f64 wj wj))) (*.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (-.f64 (*.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 wj wj) (*.f64 x (*.f64 #s(literal -2 binary64) wj))))))
(/.f64 (*.f64 wj (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))))
(/.f64 (*.f64 wj (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 wj (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) wj) (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))))
(/.f64 (*.f64 (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64))) wj) (-.f64 wj (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (*.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 (*.f64 wj wj) (*.f64 x (*.f64 #s(literal -2 binary64) wj))))
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
(*.f64 (+.f64 wj (*.f64 x #s(literal -2 binary64))) wj)
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) wj)
(-.f64 (/.f64 (*.f64 wj wj) (-.f64 wj (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 wj (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x #s(literal -2 binary64) wj)
(fma.f64 wj #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x wj)
(fma.f64 #s(literal 1 binary64) wj (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))) (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))))
(/.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 wj wj) (*.f64 x (*.f64 #s(literal -2 binary64) wj)))))
(/.f64 (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 wj (*.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (neg.f64 (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj)))))
(/.f64 (neg.f64 (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (neg.f64 (-.f64 wj (*.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 wj wj)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))
(pow.f64 (/.f64 (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj))) (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 wj (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal -2 binary64)) wj)))))
(*.f64 (-.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 wj (*.f64 x #s(literal -2 binary64)))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 wj)))
(pow.f64 wj #s(literal 2 binary64))
(pow.f64 (*.f64 wj wj) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) wj) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 wj)) #s(literal 2 binary64))
(*.f64 wj wj)
(*.f64 (*.f64 wj wj) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))))))) (neg.f64 (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (*.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)))))) (-.f64 (*.f64 (*.f64 wj wj) (*.f64 (*.f64 wj wj) (*.f64 wj wj))) (/.f64 (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)))) (-.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 wj wj) (*.f64 (*.f64 wj wj) (*.f64 wj wj))) (/.f64 (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (*.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))))))
(*.f64 (-.f64 (*.f64 (*.f64 wj wj) (*.f64 wj wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))))
(*.f64 (+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))))
(+.f64 (*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) wj) (*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 wj (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 wj (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))) (/.f64 x (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))
(-.f64 (/.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))
(fma.f64 wj (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))))
(fma.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) wj (*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)) (-.f64 wj x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)))))
(/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)))
(/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (neg.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))
(/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal 0 binary64) (-.f64 wj x))))
(/.f64 (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj)))))
(/.f64 (-.f64 (*.f64 wj wj) (*.f64 x x)) (*.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)) (+.f64 x wj)))
(/.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 wj x)))
(/.f64 (*.f64 (-.f64 wj x) (-.f64 wj x)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 wj x)) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)))
(/.f64 (*.f64 (-.f64 wj x) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)))
(/.f64 (*.f64 (-.f64 wj x) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 #s(literal -1 binary64) wj))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)) (-.f64 #s(literal -1 binary64) wj))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 wj x))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))
(/.f64 (*.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 wj x))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (-.f64 wj x)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj)))))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 (*.f64 wj wj) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (+.f64 x wj)))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (-.f64 wj x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (-.f64 (*.f64 wj (*.f64 wj wj)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 wj wj) (*.f64 x (+.f64 x wj))))
(/.f64 (*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (-.f64 (*.f64 wj wj) (*.f64 x x))) (+.f64 x wj))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 wj x)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (/.f64 (-.f64 wj x) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (-.f64 #s(literal -1 binary64) wj))
(pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) #s(literal -2 binary64))
(pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x)) (-.f64 wj x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj x) (/.f64 (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj x))))
(*.f64 (-.f64 wj x) (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))
(*.f64 (-.f64 wj x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))
(*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) (/.f64 (-.f64 wj x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 wj x)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 wj x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (-.f64 wj x))
(*.f64 (*.f64 (-.f64 wj x) (-.f64 wj x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj))))
(*.f64 (*.f64 (-.f64 wj x) (-.f64 wj x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) #s(literal 1 binary64)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj))) (*.f64 (-.f64 wj x) (-.f64 wj x)))
(*.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) (-.f64 #s(literal 0 binary64) (-.f64 wj x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))) #s(literal 2 binary64)) (*.f64 (-.f64 wj x) (-.f64 wj x)))
(*.f64 (pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) (*.f64 wj (*.f64 wj wj)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 wj #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal 1 binary64) (*.f64 wj wj))) #s(literal 2 binary64)) (pow.f64 (+.f64 wj #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (-.f64 wj x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x)) (-.f64 #s(literal 0 binary64) (-.f64 wj x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) wj))))

simplify370.0ms (3.3%)

Algorithm
egg-herbie
Rules
4630×*-lowering-*.f32
4630×*-lowering-*.f64
3938×+-lowering-+.f64
3938×+-lowering-+.f32
1936×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08356916
130636274
089396274
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(pow wj 2)
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(* x (+ 1 (* -2 wj)))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(* -1 (* x (- (* 2 wj) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
x
(+ x (* -2 (* wj x)))
(+ x (* wj (+ wj (* -2 x))))
(+ x (* wj (+ wj (* -2 x))))
(pow wj 2)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))
(pow wj 2)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(* -2 (* wj x))
(* wj (+ wj (* -2 x)))
(* wj (+ wj (* -2 x)))
(* wj (+ wj (* -2 x)))
(pow wj 2)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(pow wj 2)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(pow wj 2)
(+ (* -2 (* wj x)) (pow wj 2))
(+ (* -2 (* wj x)) (pow wj 2))
(+ (* -2 (* wj x)) (pow wj 2))
(* -2 (* wj x))
(* x (+ (* -2 wj) (/ (pow wj 2) x)))
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(/ (- (+ 1 (+ wj (+ (* -1 (/ (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj))))) x)) (* -1 (/ (+ (* -1 (* (pow (+ 1 wj) 2) (* (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))))) (* 2 (* wj (+ (* -2 (* wj (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))))) (* -1 (* (pow (+ 1 wj) 3) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))))))))) (pow x 3)))))) (+ (* -2 (/ (* wj (+ 1 wj)) x)) (+ (* -2 (/ (* wj (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj))))) (pow x 2))) (* -1 (/ (* (pow (+ 1 wj) 3) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))) (pow x 2)))))) x)
(/ (+ 1 wj) x)
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (- (+ (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (+ (* 2 (/ (* wj (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj))))) x)) (/ (* (pow (+ 1 wj) 3) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))) x))) (* -2 (* wj (+ 1 wj)))) x))) x))
(* -1 (/ (+ (* -1 (+ 1 wj)) (* -1 (/ (- (+ (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -1 (/ (- (+ (* -2 (/ (* wj (+ (* 2 (* wj (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))))) (* (pow (+ 1 wj) 3) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))))) x)) (* -1 (/ (* (pow (+ 1 wj) 2) (* (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))))) x))) (+ (* 2 (* wj (- (* -1 (* (pow (+ 1 wj) 2) (- wj (* -1 (/ wj (+ 1 wj)))))) (* -2 (* wj (+ 1 wj)))))) (* (pow (+ 1 wj) 3) (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))))) x))) (* -2 (* wj (+ 1 wj)))) x))) x))
(* -1 x)
(- (* wj (- 1 (* -1 (- 1 (* -1 x))))) x)
(- (* wj (- (+ 1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))) x)
(- (* wj (- (+ 1 (* wj (- (* wj (- 1 (* -1 x))) (* -1 (- (* -1 x) 1))))) (* -1 (- 1 (* -1 x))))) x)
wj
(* wj (+ 1 (/ 1 wj)))
(* wj (- (+ 1 (+ (* -1 (/ x (pow wj 2))) (/ 1 wj))) (/ 1 (pow wj 2))))
(* wj (- (+ 1 (+ (/ 1 wj) (/ 1 (pow wj 3)))) (+ (* -1 (/ x (pow wj 3))) (* -1 (/ (- (* -1 x) 1) (pow wj 2))))))
wj
(* wj (+ 1 (/ 1 wj)))
(* -1 (* wj (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 x) wj))) wj)) 1)))
(* -1 (* wj (- (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 x) wj)) (* -1 (+ 1 x))) wj))) wj)) 1)))
(- wj (* -1 (/ wj (+ 1 wj))))
(- (+ wj (* -1 (/ x (+ 1 wj)))) (* -1 (/ wj (+ 1 wj))))
(- (+ wj (* -1 (/ x (+ 1 wj)))) (* -1 (/ wj (+ 1 wj))))
(- (+ wj (* -1 (/ x (+ 1 wj)))) (* -1 (/ wj (+ 1 wj))))
(* -1 (/ x (+ 1 wj)))
(* x (- (/ wj x) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj)))))
(* x (- (/ wj x) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj)))))
(* x (- (/ wj x) (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj)))))
(* -1 (/ x (+ 1 wj)))
(* -1 (* x (+ (* -1 (/ (- wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (+ (* -1 (/ (- wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
(* -1 (* x (+ (* -1 (/ (- wj (* -1 (/ wj (+ 1 wj)))) x)) (/ 1 (+ 1 wj)))))
x
(+ x (* -1 (* wj (- 1 (* -1 x)))))
(+ x (* wj (+ (* -1 (* wj (- (* -1 x) 1))) (* -1 (- 1 (* -1 x))))))
(+ x (* wj (+ (* -1 (- 1 (* -1 x))) (* wj (+ (* -1 (* wj (- 1 (* -1 x)))) (* -1 (- (* -1 x) 1)))))))
-1
(- (* -1 (/ (- (* -1 x) 1) wj)) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (* -1 (/ (- (* -1 x) 1) wj))) 1)
(- (+ (* -1 (/ (- 1 (* -1 x)) (pow wj 2))) (+ (* -1 (/ (- (* -1 x) 1) wj)) (* -1 (/ (- (* -1 x) 1) (pow wj 3))))) 1)
-1
(- (+ (/ 1 wj) (/ x wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj)) 1)
(- (* -1 (/ (+ (* -1 (+ 1 x)) (* -1 (/ (+ (* -1 (+ 1 x)) (+ (/ 1 wj) (/ x wj))) wj))) wj)) 1)
(* -1 (/ wj (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(+ (* -1 (/ wj (+ 1 wj))) (/ x (+ 1 wj)))
(/ x (+ 1 wj))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (+ 1 wj))))
(/ x (+ 1 wj))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* -1 (* x (- (/ wj (* x (+ 1 wj))) (/ 1 (+ 1 wj)))))
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* 1/2 wj)
(* -1 (pow x 2))
(- (* wj (- (* 2 (pow x 2)) (* -2 x))) (pow x 2))
(- (* wj (- (+ (* 2 (pow x 2)) (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))) (* -2 x))) (pow x 2))
(- (* wj (- (+ (* 2 (pow x 2)) (* wj (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (+ (* wj (- (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))))) (* -2 x))) (pow x 2))
(pow wj 2)
(* (pow wj 2) (- 1 (/ 1 (pow wj 2))))
(* (pow wj 2) (- (+ 1 (/ 2 (pow wj 3))) (+ (* -2 (/ x (pow wj 3))) (/ 1 (pow wj 2)))))
(* (pow wj 2) (- (+ 1 (+ (* 2 (/ (- (* -2 x) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3))))) (+ (* -2 (/ x (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (pow wj 4))))))
(pow wj 2)
(* (pow wj 2) (- 1 (/ 1 (pow wj 2))))
(* (pow wj 2) (- (+ 1 (+ (* 2 (/ x (pow wj 3))) (/ 2 (pow wj 3)))) (/ 1 (pow wj 2))))
(* (pow wj 2) (- (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 1 (* -2 (+ 2 (* 2 x)))) (pow x 2)) wj)) (+ 2 (* 2 x))) (pow wj 3)))) (/ 1 (pow wj 2))))
(- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(- (+ (* 2 (/ (* wj x) (pow (+ 1 wj) 2))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(- (+ (* x (- (* -1 (/ x (pow (+ 1 wj) 2))) (* -2 (/ wj (pow (+ 1 wj) 2))))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(- (+ (* x (- (* -1 (/ x (pow (+ 1 wj) 2))) (* -2 (/ wj (pow (+ 1 wj) 2))))) (pow wj 2)) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(* -1 (/ (pow x 2) (pow (+ 1 wj) 2)))
(* (pow x 2) (- (* 2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (- (/ (pow wj 2) (pow x 2)) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2)))))))
(* (pow x 2) (- (/ (pow wj 2) (pow x 2)) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2)))))))
(* -1 (/ (pow x 2) (pow (+ 1 wj) 2)))
(* (pow x 2) (- (* 2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow wj 2) (/ (pow wj 2) (pow (+ 1 wj) 2))) x)) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(pow x 2)
(+ (* wj (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* wj (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
1
(- (+ 1 (* -2 (/ x wj))) (* 2 (/ 1 wj)))
(- (+ 1 (+ (* -2 (/ x wj)) (/ (pow x 2) (pow wj 2)))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))
(- (+ 1 (+ (* -2 (/ x wj)) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (pow wj 2))))) (+ (* -2 (/ x (pow wj 3))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ (- (pow x 2) (+ 1 (* 2 (- (* -2 x) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))))
1
(+ 1 (* -1 (/ (+ 2 (* 2 x)) wj)))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (+ (* 2 (/ x wj)) (+ (* 2 (/ 1 wj)) (pow x 2)))) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(/ (pow wj 2) (pow (+ 1 wj) 2))
(+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
Outputs
(pow wj 2)
(*.f64 wj wj)
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64)))))
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64)))))
(+ (* x (+ 1 (* -2 wj))) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64)))))
(* x (+ 1 (* -2 wj)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))) (/.f64 (*.f64 wj wj) x)))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))) (/.f64 (*.f64 wj wj) x)))
(* x (+ 1 (+ (* -2 wj) (/ (pow wj 2) x))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))) (/.f64 (*.f64 wj wj) x)))
(* -1 (* x (- (* 2 wj) 1)))
(*.f64 (+.f64 (*.f64 wj #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
(*.f64 (+.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
(*.f64 (+.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (pow wj 2) x)) (* 2 wj)) 1)))
(*.f64 (+.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* -2 (* wj x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj #s(literal -2 binary64))))
(+ x (* wj (+ wj (* -2 x))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(+ x (* wj (+ wj (* -2 x))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(pow wj 2)
(*.f64 wj wj)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))
(*.f64 (*.f64 wj wj) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)) (/.f64 x (*.f64 wj wj))))
(* (pow wj 2) (+ 1 (+ (* -2 (/ x wj)) (/ x (pow wj 2)))))
(*.f64 (*.f64 wj wj) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)) (/.f64 x (*.f64 wj wj))))
(pow wj 2)
(*.f64 wj wj)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(*.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x wj)) wj)))
(* (pow wj 2) (+ 1 (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj))))
(*.f64 (*.f64 wj wj) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x wj)) wj)))
(* -2 (* wj x))
(*.f64 #s(literal -2 binary64) (*.f64 wj x))
(* wj (+ wj (* -2 x)))
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
(* wj (+ wj (* -2 x)))
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
(* wj (+ wj (* -2 x)))
(*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64))))
(pow wj 2)
(*.f64 wj wj)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(pow wj 2)
(*.f64 wj wj)
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* (pow wj 2) (+ 1 (* -2 (/ x wj))))
(*.f64 (*.f64 wj wj) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(pow wj 2)
(*.f64 wj wj)
(+ (* -2 (* wj x)) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 #s(literal -2 binary64) (*.f64 wj x)))
(+ (* -2 (* wj x)) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 #s(literal -2 binary64) (*.f64 wj x)))
(+ (* -2 (* wj x)) (pow wj 2))
(+.f64 (*.f64 wj wj) (*.f64 #s(literal -2 binary64) (*.f64 wj x)))
(* -2 (* wj x))
(*.f64 #s(literal -2 binary64) (*.f64 wj x))
(* x (+ (* -2 wj) (/ (pow wj 2) x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal -2 binary64)) (/.f64 (*.f64 wj wj) x)))
(* x (+ (* -2 wj) (/ (pow wj 2) x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal -2 binary64)) (/.f64 (*.f64 wj wj) x)))
(* x (+ (* -2 wj) (/ (pow wj 2) x)))
(*.f64 x (+.f64 (*.f64 wj #s(literal -2 binary64)) (/.f64 (*.f64 wj wj) x)))
(* -2 (* wj x))
(*.f64 #s(literal -2 binary64) (*.f64 wj x))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))
(*.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))
(*.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (pow wj 2) x)) (* 2 wj))))
(*.f64 (-.f64 (*.f64 wj #s(literal 2 binary64)) (/.f64 (*.f64 wj wj) x)) (-.f64 #s(literal 0 binary64) x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
wj
(* wj (+ 1 (* -2 (/ x wj))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* wj (+ 1 (* -2 (/ x wj))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
(* wj (+ 1 (* -2 (/ x wj))))
(*.f64 wj (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) wj)))
wj
(* -1 (* wj (- (* 2 (/ x wj)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) wj) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) wj))
(* -1 (* wj (- (* 2 (/ x wj)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) wj) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) wj))
(* -1 (* wj (- (* 2 (/ x wj)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) wj) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) wj))
wj
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(+ wj (* -2 x))
(+.f64 wj (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (/ wj x) 2))
(*.f64 x (+.f64 (/.f64 wj x) #s(literal -2 binary64)))
(* x (- (/ wj x) 2))
(*.f64 x (+.f64 (/.f64 wj x) #s(literal -2 binary64)))
(* x (- (/ wj x) 2))
(*.f64 x (+.f64 (/.f64 wj x) #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* -1 (/ wj x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 wj x))))
(* -1 (* x (+ 2 (* -1 (/ wj x)))))
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(+.f64 (*.f64 x x) (*.f64 wj (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(+ (* wj (- (+ (* -2 x) (* wj (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(+.f64 (*.f64 x x) (*.f64 wj (+.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 wj (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))) (*.f64 #s(literal -2 binary64) (*.f64 x x))))))
(+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* wj (- (* 2 (pow x 2)) (+ (* -2 x) (* 2 (- 1 (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2)))))))) (+ (* 2 (- (* -2 x) (* 2 (pow x 2)))) (pow x 2))))) (* 2 (pow x 2)))) (pow x 2))
(+.f64 (*.f64 x x) (*.f64 wj (+.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 wj (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))))))) (+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))))) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -2 (/ x wj))) (* 2 (/ 1 wj)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) wj) (/.f64 #s(literal -2 binary64) wj)))
(- (+ 1 (+ (* -2 (/ x wj)) (/ (pow x 2) (pow wj 2)))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) wj) (/.f64 (*.f64 x x) (*.f64 wj wj)))) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) wj) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) wj)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (/.f64 #s(literal 2 binary64) wj))))
(- (+ 1 (+ (* -2 (/ x wj)) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (pow wj 2))))) (+ (* -2 (/ x (pow wj 3))) (+ (* 2 (/ (- (* -2 x) 2) (pow wj 2))) (+ (* 2 (/ (- (pow x 2) (+ 1 (* 2 (- (* -2 x) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2)))))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) wj) (/.f64 #s(literal 2 binary64) (*.f64 wj (*.f64 wj wj)))) (/.f64 (*.f64 x x) (*.f64 wj wj)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 wj (*.f64 wj wj)))) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) wj) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) wj)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (/.f64 #s(literal 2 binary64) wj)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) (*.f64 wj (*.f64 wj wj))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 (* 2 x)) wj)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) wj))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) wj))) wj))
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (pow x 2) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (+ (* 2 (/ x wj)) (+ (* 2 (/ 1 wj)) (pow x 2)))) (+ 1 (* -2 (+ 2 (* 2 x))))) wj)) (* 2 x))) wj)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))) wj) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) wj) (+.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) wj))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)))))) wj)) (*.f64 #s(literal 2 binary64) x)) wj))
(/ (pow wj 2) (pow (+ 1 wj) 2))
(*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+ (* -2 (/ (* wj x) (pow (+ 1 wj) 2))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 wj x)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (*.f64 x (+.f64 (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (*.f64 wj #s(literal -2 binary64)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))))
(+ (* x (+ (* -2 (/ wj (pow (+ 1 wj) 2))) (/ x (pow (+ 1 wj) 2)))) (/ (pow wj 2) (pow (+ 1 wj) 2)))
(+.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (*.f64 x (+.f64 (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (*.f64 wj #s(literal -2 binary64)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(/.f64 (*.f64 x x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (+ (/ 1 (pow (+ 1 wj) 2)) (/ (pow wj 2) (* (pow x 2) (pow (+ 1 wj) 2))))))
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 wj wj) (*.f64 (*.f64 x x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))))
(/ (pow x 2) (pow (+ 1 wj) 2))
(/.f64 (*.f64 x x) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64))))
(* (pow x 2) (+ (* -2 (/ wj (* x (pow (+ 1 wj) 2)))) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (*.f64 (/.f64 wj (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 wj #s(literal 2 binary64)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (*.f64 wj wj) (*.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow wj 2) (* x (pow (+ 1 wj) 2)))) (* 2 (/ wj (pow (+ 1 wj) 2)))) x)) (/ 1 (pow (+ 1 wj) 2))))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 wj #s(literal 2 binary64)) (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))) (/.f64 (*.f64 wj wj) (*.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (+.f64 wj #s(literal 1 binary64)))))) x)))

eval155.0ms (1.4%)

Compiler

Compiled 34946 to 2976 computations (91.5% saved)

prune160.0ms (1.4%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New9743977
Fresh71320
Picked145
Done033
Total982231005
Accuracy
100.0%
Counts
1005 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))) (+.f64 wj #s(literal 1 binary64)))
91.5%
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
3.6%
(/.f64 (/.f64 x (exp.f64 wj)) wj)
90.7%
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
91.2%
(/.f64 (+.f64 x (*.f64 wj (-.f64 (*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) wj) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))) x))) (+.f64 wj #s(literal 1 binary64)))
4.5%
(/.f64 (*.f64 (*.f64 (*.f64 wj wj) #s(literal 1/2 binary64)) x) (+.f64 wj #s(literal 1 binary64)))
91.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
89.9%
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
11.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj))
6.0%
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
91.0%
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
96.6%
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 wj (+.f64 (*.f64 wj (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))))
96.8%
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
90.2%
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
96.2%
(+.f64 x (*.f64 wj wj))
4.2%
(+.f64 wj #s(literal -1 binary64))
2.1%
(*.f64 (+.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) wj) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) wj))
90.6%
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
4.1%
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
9.3%
(*.f64 wj wj)
89.8%
x
4.3%
wj
Compiler

Compiled 1243 to 415 computations (66.6% saved)

regimes78.0ms (0.7%)

Counts
52 → 2
Calls
Call 1
Inputs
wj
x
(*.f64 wj wj)
(+.f64 wj #s(literal -1 binary64))
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
(+.f64 x (*.f64 wj wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj))
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 wj wj) x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 wj wj) #s(literal 1/2 binary64)) x) (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) wj) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) wj))
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) x) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 wj x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) x))))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))) (+.f64 wj #s(literal 1 binary64)))
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 wj (+.f64 (*.f64 wj (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64))))))))) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (-.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))))) x) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (+.f64 x (*.f64 wj (-.f64 (*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) wj) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))) x))) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)))) (*.f64 wj (*.f64 wj wj))) (+.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (*.f64 wj wj) (/.f64 (*.f64 (-.f64 wj x) wj) (-.f64 #s(literal -1 binary64) wj)))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (*.f64 wj wj))) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)))
(/.f64 (/.f64 x (exp.f64 wj)) wj)
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(fma.f64 (-.f64 wj x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) wj)
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
(-.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (*.f64 wj wj))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (neg.f64 (/.f64 (*.f64 wj wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj)
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(/.f64 (+.f64 (*.f64 wj (*.f64 wj wj)) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 3 binary64))) (+.f64 (*.f64 wj wj) (/.f64 (-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj (/.f64 x (exp.f64 wj)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 (*.f64 wj #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj))))) (+.f64 (*.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj)))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 (+.f64 wj wj))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) wj))) (*.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))))))
(/.f64 (-.f64 (*.f64 (*.f64 wj wj) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)))) (*.f64 (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64)))) (+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj #s(literal 1 binary64))))))
Outputs
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj)
Calls

3 calls:

17.0ms
x
13.0ms
wj
13.0ms
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Results
AccuracySegmentsBranch
97.2%1wj
97.2%1x
99.2%2(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 24 to 12 computations (50% saved)

regimes29.0ms (0.3%)

Counts
47 → 1
Calls
Call 1
Inputs
wj
x
(*.f64 wj wj)
(+.f64 wj #s(literal -1 binary64))
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
(+.f64 x (*.f64 wj wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj))
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 wj wj) x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 wj wj) #s(literal 1/2 binary64)) x) (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) wj) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) wj))
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) x) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal -1 binary64) (*.f64 wj #s(literal 1/2 binary64)))))) (+.f64 wj #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 wj x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) x))))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) wj)))) x) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64)))))))) (+.f64 wj #s(literal 1 binary64)))
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 wj (+.f64 (*.f64 wj (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))))))
(+.f64 x (*.f64 wj (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1 binary64) (*.f64 wj (+.f64 #s(literal 1/2 binary64) (*.f64 wj #s(literal 1/6 binary64))))))))) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (-.f64 (*.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 wj (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))))))) x) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (+.f64 x (*.f64 wj (-.f64 (*.f64 wj (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) wj) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/3 binary64)))))) x))) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj))) (-.f64 (*.f64 wj wj) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 wj x))))))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) (+.f64 x x)) (*.f64 wj (-.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 3/2 binary64))) (*.f64 wj (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 3/2 binary64)))))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 wj x) (*.f64 (-.f64 wj x) (-.f64 wj x))) (*.f64 (-.f64 #s(literal -1 binary64) wj) (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)))) (*.f64 wj (*.f64 wj wj))) (+.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (*.f64 wj wj) (/.f64 (*.f64 (-.f64 wj x) wj) (-.f64 #s(literal -1 binary64) wj)))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 wj x) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) wj) (-.f64 #s(literal -1 binary64) wj)) (-.f64 wj x))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (*.f64 wj wj))) (*.f64 (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)))
(/.f64 (/.f64 x (exp.f64 wj)) wj)
(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj #s(literal 1 binary64)))
(fma.f64 (-.f64 wj x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) wj)) wj)
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)))
(-.f64 (+.f64 wj (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))
(/.f64 (fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 #s(literal 0 binary64) (*.f64 wj wj))) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))
(fma.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (/.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj)) (neg.f64 (/.f64 (*.f64 wj wj) (-.f64 (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)) wj))))
Outputs
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
Calls

2 calls:

13.0ms
wj
13.0ms
x
Results
AccuracySegmentsBranch
97.2%1wj
97.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
wj
x
(*.f64 wj wj)
(+.f64 wj #s(literal -1 binary64))
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
(+.f64 x (*.f64 wj wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj))
(/.f64 (-.f64 x (*.f64 wj x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (+.f64 wj #s(literal 1 binary64)))
(+.f64 x (*.f64 wj (+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 x x)))))
(+.f64 x (*.f64 x (*.f64 wj (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 wj wj) x)) (+.f64 wj #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 wj wj) #s(literal 1/2 binary64)) x) (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) wj) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) wj))
(+.f64 wj (/.f64 (*.f64 wj (*.f64 wj (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 wj (/.f64 x (+.f64 wj #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) wj)))
(+.f64 wj (/.f64 (-.f64 (*.f64 wj (+.f64 x #s(literal 1 binary64))) x) (-.f64 #s(literal -1 binary64) wj)))
Outputs
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
Calls

2 calls:

8.0ms
wj
7.0ms
x
Results
AccuracySegmentsBranch
96.8%1wj
96.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
wj
x
(*.f64 wj wj)
(+.f64 wj #s(literal -1 binary64))
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
(+.f64 x (*.f64 wj wj))
(/.f64 x (+.f64 wj #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 wj #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(+.f64 wj (*.f64 wj (*.f64 x #s(literal 1/2 binary64))))
(+.f64 x (*.f64 wj (*.f64 x #s(literal -2 binary64))))
(-.f64 wj (/.f64 wj (+.f64 wj #s(literal 1 binary64))))
(+.f64 wj (/.f64 (-.f64 wj x) (-.f64 #s(literal -1 binary64) wj)))
Outputs
(+.f64 x (*.f64 wj wj))
Calls

2 calls:

4.0ms
x
4.0ms
wj
Results
AccuracySegmentsBranch
96.2%1wj
96.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
wj
x
(*.f64 wj wj)
(+.f64 wj #s(literal -1 binary64))
(*.f64 (*.f64 wj x) #s(literal 1/2 binary64))
Outputs
x
Calls

2 calls:

2.0ms
x
2.0ms
wj
Results
AccuracySegmentsBranch
89.8%1wj
89.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
wj
Outputs
wj
Calls

2 calls:

1.0ms
wj
1.0ms
x
Results
AccuracySegmentsBranch
4.3%1x
4.3%1wj
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1032800593382743e-18
8.74920264148853e-12
Compiler

Compiled 23 to 12 computations (47.8% saved)

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
256×unsub-neg_binary64
226×distribute-lft-neg-in_binary64
168×neg-mul-1_binary64
128×neg-sub0_binary64
104×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03274
15574
27174
38974
412074
516174
621174
728274
836974
942774
1047974
1154274
1265174
1371974
1478974
1584174
1686074
1786374
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(+.f64 x (*.f64 wj wj))
x
wj
Outputs
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj))
(if (<=.f64 (+.f64 wj (/.f64 (-.f64 x (*.f64 wj (exp.f64 wj))) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (-.f64 wj (/.f64 x (exp.f64 wj))) wj))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x (+.f64 (*.f64 wj #s(literal 5/2 binary64)) #s(literal -2 binary64))))))
(+.f64 x (*.f64 wj (+.f64 wj (*.f64 x #s(literal -2 binary64)))))
(+.f64 x (*.f64 wj wj))
x
wj

soundness1.7s (14.9%)

Rules
5468×+-lowering-+.f64
5468×+-lowering-+.f32
4716×*-lowering-*.f32
4716×*-lowering-*.f64
3882×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05014059
118583537
273513520
081303520
0934
16534
268034
0858034
0814
12214
26114
318212
459712
5226112
6759212
0861512
07245595
125355220
083395220
01901157
16811036
22669989
08349989
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 129 to 71 computations (45% saved)

preprocess73.0ms (0.6%)

Compiler

Compiled 226 to 102 computations (54.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...