arccos

Time bar (total: 8.9s)

analyze4.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

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

sample862.0ms (9.6%)

Results
626.0ms8256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-atan: 83.0ms (18.8% of total)
ival-sqrt: 81.0ms (18.4% of total)
ival-mult: 70.0ms (15.9% of total)
ival-sub: 64.0ms (14.5% of total)
ival-add: 64.0ms (14.5% of total)
ival-div: 62.0ms (14.1% of total)
const: 15.0ms (3.4% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess41.0ms (0.5%)

Algorithm
egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
160×times-frac
136×associate-*l*
132×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
14233
27133
313433
425033
552733
6100033
7104033
8104833
0911
11811
22411
33511
45811
59211
612711
720011
832011
948711
1051911
051911
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Call 2
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x))))))
(* 2 (atan (sqrt (/ (+ 1 x) (- 1 x)))))
(neg (* 2 (atan (sqrt (/ (- 1 (neg x)) (+ 1 (neg x)))))))
(* (atan (sqrt (/ (+ 1 x) (- 1 x)))) -2)

explain83.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
00-0-(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Results
53.0ms512×0valid
Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-atan: 9.0ms (28.8% of total)
ival-sub: 5.0ms (16% of total)
ival-div: 4.0ms (12.8% of total)
ival-add: 4.0ms (12.8% of total)
ival-mult: 4.0ms (12.8% of total)
ival-sqrt: 4.0ms (12.8% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 12 to 9 computations (25% saved)

localize66.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(literal 2 binary64)
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
accuracy100.0%
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
132×*-lowering-*.f32
132×*-lowering-*.f64
74×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
11844
22444
33544
45844
59244
612744
720044
832044
948744
1051944
051944
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
2
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
(- 1 x)
1
x
(+ 1 x)
Outputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2
#s(literal 2 binary64)
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 x) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
Results
24.0ms256×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-atan: 3.0ms (23% of total)
ival-sub: 2.0ms (15.3% of total)
ival-div: 2.0ms (15.3% of total)
ival-mult: 2.0ms (15.3% of total)
ival-sqrt: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
5 → 48
Calls
Call 1
Inputs
#<alt (/ (- 1 x) (+ 1 x))>
#<alt (sqrt (/ (- 1 x) (+ 1 x)))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt 2>
Outputs
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))>
#<alt (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 (* x (sqrt -1))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (- 1 x) (+ 1 x))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(sqrt (/ (- 1 x) (+ 1 x)))
0.0ms
x
@inf
(sqrt (/ (- 1 x) (+ 1 x)))
0.0ms
x
@0
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms
x
@inf
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
0.0ms
x
@-inf
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))

rewrite468.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
2152×accelerator-lowering-fma.f32
2152×accelerator-lowering-fma.f64
2042×*-lowering-*.f32
2042×*-lowering-*.f64
1870×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0935
14635
233335
345929
098279
Stop Event
iter limit
node limit
Counts
5 → 8
Calls
Call 1
Inputs
(/ (- 1 x) (+ 1 x))
(sqrt (/ (- 1 x) (+ 1 x)))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
2
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
(atan.f64 #s(literal 1 binary64))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
#s(literal 2 binary64)

simplify328.0ms (3.7%)

Algorithm
egg-herbie
Rules
10954×accelerator-lowering-fma.f32
10954×accelerator-lowering-fma.f64
2906×*-lowering-*.f32
2906×*-lowering-*.f64
1802×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107541
1276480
2764466
32114454
46111448
08086437
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(sqrt -1)
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 (* x (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x)) x))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

eval5.0ms (0.1%)

Compiler

Compiled 625 to 113 computations (81.9% saved)

prune4.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Accuracy
100.0%
Counts
57 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 54 to 44 computations (18.5% saved)

localize254.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 29 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(literal 2 binary64)
cost-diff0
#s(literal 1 binary64)
cost-diff0
(atan.f64 #s(literal 1 binary64))
cost-diff0
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(atan.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(literal 2 binary64)
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(literal 2 binary64)
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff128
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
#s(literal 2 binary64)
cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
accuracy100.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy100.0%
(atan.f64 #s(literal 1 binary64))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(atan.f64 (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Rules
2760×accelerator-lowering-fma.f32
2760×accelerator-lowering-fma.f64
760×*-lowering-*.f32
760×*-lowering-*.f64
448×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022140
150140
2104134
3196134
4473134
51083134
61851134
72188134
82269134
92269134
02269118
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
2
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
1
(* x (+ -1 (* x 1/2)))
x
(+ -1 (* x 1/2))
-1
(* x 1/2)
1/2
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(+ -1 (* (- 1 x) (* x 1/2)))
(* (- 1 x) (* x 1/2))
(- 1 x)
(* 2 (atan (- 1 x)))
(atan (- 1 x))
(* (atan 1) 2)
(atan 1)
Outputs
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* x 1/2))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ -1 (* x 1/2))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+ -1 (* (- 1 x) (* x 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* (- 1 x) (* x 1/2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(* (atan 1) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(atan 1)
(atan.f64 #s(literal 1 binary64))
Results
62.0ms256×0valid
Compiler

Compiled 158 to 23 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 14.0ms (43.9% of total)
ival-atan: 10.0ms (31.4% of total)
ival-add: 5.0ms (15.7% of total)
ival-sub: 1.0ms (3.1% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
17 → 156
Calls
Call 1
Inputs
#<alt (* x (+ -1 (* x 1/2)))>
#<alt (atan (+ 1 (* x (+ -1 (* x 1/2)))))>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))>
#<alt (* x 1/2)>
#<alt (* x (+ -1 (* (- 1 x) (* x 1/2))))>
#<alt (* (- 1 x) (* x 1/2))>
#<alt (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))>
#<alt (atan (- 1 x))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (- 1 x)>
#<alt (atan 1)>
#<alt (* (atan 1) 2)>
#<alt 2>
#<alt (+ 1 (* x (+ -1 (* x 1/2))))>
#<alt (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))>
#<alt 1>
Outputs
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 x) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (- (+ 1 (* 1/2 (pow x 2))) x))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))>
#<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 (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (- 1 x))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (atan (+ 1 (* -1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt (* 2 (atan (+ 1 (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (- 1 x) (* x 1/2))
1.0ms
x
@inf
(* x (+ -1 (* x 1/2)))
0.0ms
x
@-inf
(* x (+ -1 (* (- 1 x) (* x 1/2))))
0.0ms
x
@0
(* x (+ -1 (* x 1/2)))
0.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))

rewrite514.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
11260×accelerator-lowering-fma.f32
11260×accelerator-lowering-fma.f64
5630×*-lowering-*.f32
5630×*-lowering-*.f64
3280×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022123
1105123
2879117
08455104
Stop Event
iter limit
node limit
Counts
17 → 449
Calls
Call 1
Inputs
(* x (+ -1 (* x 1/2)))
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(* x 1/2)
(* x (+ -1 (* (- 1 x) (* x 1/2))))
(* (- 1 x) (* x 1/2))
(atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2))))))
(* 2 (atan (+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))))
(atan (- 1 x))
(* 2 (atan (- 1 x)))
(- 1 x)
(atan 1)
(* (atan 1) 2)
2
(+ 1 (* x (+ -1 (* x 1/2))))
(+ 1 (* x (+ -1 (* (- 1 x) (* x 1/2)))))
1
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(-.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64)) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) x)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 0 binary64)) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64))))))))
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(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)

simplify429.0ms (4.8%)

Algorithm
egg-herbie
Rules
9542×accelerator-lowering-fma.f32
9542×accelerator-lowering-fma.f64
2256×*-lowering-*.f32
2256×*-lowering-*.f64
1288×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981250
12531250
27051196
322281196
460661196
082761066
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(* 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)
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (- 1 x))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(atan (+ 1 (* -1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (- 1 x)))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
(* 2 (atan (+ 1 (* -1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (* x (- (* 1/2 x) 1))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (- (+ 1 (* 1/2 (pow x 2))) x))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2)))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (- (+ 1 (* 1/2 (pow x 2))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* x (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (- 1 x))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (+ 1 (* x (- (* 1/2 (* x (+ 1 (* -1 x)))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(atan (+ 1 (* -1 x)))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(* 2 (atan (+ 1 (* -1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(* -1/2 (pow x 3))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

eval88.0ms (1%)

Compiler

Compiled 16918 to 2503 computations (85.2% saved)

prune129.0ms (1.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6863689
Fresh000
Picked044
Done011
Total6868694
Accuracy
100.0%
Counts
694 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 131 to 89 computations (32.1% saved)

localize864.0ms (9.7%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
cost-diff384
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
cost-diff512
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
cost-diff512
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
cost-diff512
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
cost-diff128
(-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
cost-diff256
(-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
cost-diff256
(atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
cost-diff256
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
accuracy99.9%
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
accuracy99.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
accuracy100.0%
(atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
accuracy100.0%
(-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
Rules
17712×accelerator-lowering-fma.f32
17712×accelerator-lowering-fma.f64
3914×*-lowering-*.f32
3914×*-lowering-*.f64
3068×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032368
187362
2300326
31439307
43601306
08160284
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 2 (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))))
2
(atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1))))
(- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))
0
(- x (+ (* x (* x (* (- 1 x) 1/2))) 1))
x
(+ (* x (* x (* (- 1 x) 1/2))) 1)
(* x (* x (* (- 1 x) 1/2)))
(* x (* (- 1 x) 1/2))
(* (- 1 x) 1/2)
(- 1 x)
1
1/2
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x)))))
(* (- 1 x) (- 1 x))
(* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))
(* x (* x 1/4))
(* x 1/4)
1/4
(* (* x (- 1 x)) (* x (- 1 x)))
(* x (- 1 x))
(- (- 1 x) (* x (* x (* (- 1 x) 1/2))))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(+ (* x (* x 1/2)) 1)
(* x (* x 1/2))
(* x 1/2)
Outputs
(* 2 (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
0
#s(literal 0 binary64)
(- x (+ (* x (* x (* (- 1 x) 1/2))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
x
(+ (* x (* x (* (- 1 x) 1/2))) 1)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(* x (* x (* (- 1 x) 1/2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* x (* (- 1 x) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (- 1 x) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))))
(* (- 1 x) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(* x (* x 1/4))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* x (- 1 x)) (* x (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(- (- 1 x) (* x (* x (* (- 1 x) 1/2))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (* x 1/2)) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
Results
88.0ms256×0valid
Compiler

Compiled 399 to 33 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 26.0ms (54% of total)
ival-atan: 9.0ms (18.7% of total)
ival-sub: 6.0ms (12.5% of total)
ival-add: 4.0ms (8.3% of total)
ival-div: 2.0ms (4.2% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (0.9%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* x (* x (* (- 1 x) 1/2)))>
#<alt (* x (* (- 1 x) 1/2))>
#<alt (- x (+ (* x (* x (* (- 1 x) 1/2))) 1))>
#<alt (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1))))>
#<alt (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))>
#<alt (* (* x (- 1 x)) (* x (- 1 x)))>
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))>
#<alt (* (+ (* x (* x 1/2)) 1) (- 1 x))>
#<alt (atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))>
#<alt (* x 1/2)>
#<alt (* x (* x 1/2))>
#<alt (* 2 (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))))>
#<alt (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))>
#<alt (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))>
#<alt (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))>
#<alt (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x)))))>
#<alt (* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)>
#<alt (+ (* x (* x 1/2)) 1)>
Outputs
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/2 x) 1/2)))) 1)>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2)))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (+ 1/4 (* -1/2 x)))>
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))>
#<alt (* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))>
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- x 2))))>
#<alt (* (pow x 2) (+ 1 (* x (- x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<alt (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))>
#<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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))>
#<alt (* -1/4 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))>
#<alt (* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt (* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
1.0ms
x
@inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@0
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@-inf
(* 2 (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))))
0.0ms
x
@-inf
(* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))

rewrite860.0ms (9.6%)

Algorithm
batch-egg-rewrite
Rules
7446×accelerator-lowering-fma.f32
7446×accelerator-lowering-fma.f64
4904×/-lowering-/.f32
4904×/-lowering-/.f64
4540×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032278
1171272
21605190
08821179
Stop Event
iter limit
node limit
Counts
18 → 1493
Calls
Call 1
Inputs
(* x (* x (* (- 1 x) 1/2)))
(* x (* (- 1 x) 1/2))
(- x (+ (* x (* x (* (- 1 x) 1/2))) 1))
(atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1))))
(* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))
(* (* x (- 1 x)) (* x (- 1 x)))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(* (+ (* x (* x 1/2)) 1) (- 1 x))
(atan (* (+ (* x (* x 1/2)) 1) (- 1 x)))
(* x 1/2)
(* x (* x 1/2))
(* 2 (atan (- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))))
(- 0 (- x (+ (* x (* x (* (- 1 x) 1/2))) 1)))
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* x (- 1 x)) (* x (- 1 x)))))
(* (atan (* (+ (* x (* x 1/2)) 1) (- 1 x))) 2)
(+ (* x (* x 1/2)) 1)
Outputs
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))
(+.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(+.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))
(-.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))
(-.f64 (+.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (+.f64 (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (+.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))))) x)
(fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) x)
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) x)
(fma.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) x)
(fma.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) #s(literal 0 binary64))
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(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)))
(*.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))))))
(*.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))))))))
(*.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)))))))
(*.f64 (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))

simplify548.0ms (6.1%)

Algorithm
egg-herbie
Rules
13614×accelerator-lowering-fma.f32
13614×accelerator-lowering-fma.f64
4368×*-lowering-*.f32
4368×*-lowering-*.f64
3122×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982744
15912600
215832424
351812396
085162241
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/2 x) 1/2)))) 1)
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2)))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(* 1/4 (pow x 4))
(* (pow x 4) (+ 1/4 (* -1/2 x)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 x)))
(* (pow x 2) (+ 1 (* x (- x 2))))
(* (pow x 2) (+ 1 (* x (- x 2))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x)))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2)))))
(* 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)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x)))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))
(* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))
(* -1/4 (pow x 6))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
Outputs
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1/2 (* -1/2 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(- (* x (+ 1 (* x (- (* 1/2 x) 1/2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(* 1/2 (pow x 3))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(* 1/2 (pow x 3))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2) x)) 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (- (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) x))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(atan (+ 1 (+ (* -1 x) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/4 (* -1/2 x)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* (pow x 4) (+ 1/4 (* x (- (* 1/4 x) 1/2))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* (pow x 6) (- (+ 1/4 (/ 1/4 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 1/4 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -2 x)))
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(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 4) (pow (- 1 x) 2)))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 4) (pow (+ 1 (* -1 x)) 2)))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+ 1 (* x (- (* x (+ 1 (* -1/4 (pow x 2)))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
(* -1/4 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/4 binary64)))
(* (pow x 6) (- (* 1/2 (/ 1 x)) (+ 1/4 (/ 1/4 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x) #s(literal -1/4 binary64)))
(* (pow x 6) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/4 (/ 1/4 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/4 binary64))))
(* -1/4 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/4 binary64))
(* (pow x 6) (- (* 1/2 (/ 1 x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/4 binary64)))
(* (pow x 6) (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/2) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) x)) x) #s(literal -1/4 binary64)))
(* (pow x 6) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x)) 1/2) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) x)) x)))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(* 2 (atan (* (+ 1 (* -1 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))

eval360.0ms (4%)

Compiler

Compiled 107038 to 4182 computations (96.1% saved)

prune273.0ms (3.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New174831751
Fresh000
Picked123
Done055
Total1749101759
Accuracy
100.0%
Counts
1759 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
99.6%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 205 to 128 computations (37.6% saved)

localize807.0ms (9%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff512
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
cost-diff768
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))
cost-diff768
(atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))))))
cost-diff768
(*.f64 (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
cost-diff128
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
cost-diff128
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
cost-diff128
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
accuracy100.0%
(atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x)))))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))
accuracy100.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy99.9%
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))
accuracy100.0%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy93.7%
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy100.0%
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
accuracy100.0%
(*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
accuracy100.0%
(*.f64 x (+.f64 x #s(literal -2 binary64)))
Rules
8974×accelerator-lowering-fma.f32
8974×accelerator-lowering-fma.f64
4474×*-lowering-*.f32
4474×*-lowering-*.f64
2050×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043541
1119517
2490499
32441475
44911464
08324419
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
2
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(+ 1 (* x (+ x -2)))
1
(* x (+ x -2))
x
(+ x -2)
-2
(- (- 1 x) (* x (* x (* (- 1 x) 1/2))))
(- 1 x)
(* x (* x (* (- 1 x) 1/2)))
(* x (* (- 1 x) 1/2))
(* (- 1 x) 1/2)
1/2
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x)))))
(* (- 1 x) (- 1 x))
(* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))
(* x (* x 1/4))
(* x 1/4)
1/4
(* (* (* x x) (* x x)) (- 1 (/ 2 x)))
(* (* x x) (* x x))
(* x x)
(- 1 (/ 2 x))
(/ 2 x)
(* (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))) 2)
(atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))))
(/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))
(+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1))
(* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))
(- 0 (* x x))
0
(/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))
(+ 1 (* (* (- 1 x) 1/2) (* x x)))
(* (* (- 1 x) 1/2) (* x x))
(* (+ 0 x) 1)
(+ 0 x)
(* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))
Outputs
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
2
#s(literal 2 binary64)
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(+ 1 (* x (+ x -2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* x (+ x -2))
(*.f64 x (+.f64 x #s(literal -2 binary64)))
x
(+ x -2)
(+.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (- 1 x) (* x (* x (* (- 1 x) 1/2))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* x (* x (* (- 1 x) 1/2)))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* x (* (- 1 x) 1/2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))
(* (- 1 x) 1/2)
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(atan.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))))))
(* (- 1 x) (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(* x (* x 1/4))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* (* x x) (* x x)) (- 1 (/ 2 x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(- 1 (/ 2 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))) 2)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))))
(atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))))
(atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))
(/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(- 0 (* x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
0
#s(literal 0 binary64)
(/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+ 1 (* (* (- 1 x) 1/2) (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(* (* (- 1 x) 1/2) (* x x))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(* (+ 0 x) 1)
x
(+ 0 x)
x
(* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
Results
167.0ms256×0valid
Compiler

Compiled 643 to 44 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 30.0ms (48.9% of total)
ival-div: 9.0ms (14.7% of total)
ival-atan: 9.0ms (14.7% of total)
ival-add: 7.0ms (11.4% of total)
ival-sub: 6.0ms (9.8% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.4%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* x (+ x -2))>
#<alt (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))>
#<alt (* x (* x (* (- 1 x) 1/2)))>
#<alt (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))>
#<alt (* (* (* x x) (* x x)) (- 1 (/ 2 x)))>
#<alt (* (* x x) (* x x))>
#<alt (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))>
#<alt (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))>
#<alt (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))>
#<alt (* (* (- 1 x) 1/2) (* x x))>
#<alt (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))>
#<alt (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))>
#<alt (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))>
#<alt (* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))>
#<alt (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))>
#<alt (* (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))) 2)>
#<alt (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1))>
Outputs
#<alt (* -2 x)>
#<alt (* x (- x 2))>
#<alt (* x (- x 2))>
#<alt (* x (- x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- x 2))>
#<alt (* (pow x 3) (- x 2))>
#<alt (* (pow x 3) (- x 2))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/2 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/2))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/2))>
#<alt (* (pow x 5) (- (* 1/4 x) 1/2))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (* 3/2 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/2 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 3/2 (/ 1 x))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* -1/2 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* -1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/2 (* 1/4 x))) 1/2)))>
#<alt (/ -2 (pow x 3))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))>
#<alt (/ -2 (pow x 3))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) x)) 2) x))) (pow x 3)))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))>
#<alt (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))>
#<alt (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))>
#<alt (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))>
#<alt (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))>
#<alt (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* -1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))>
#<alt (* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))>
#<alt (* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))>
#<alt (* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))>
#<alt (* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))>
#<alt (* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- (* 1/2 (pow x 2)) 1))))>
#<alt (* x (+ 1 (* x (- (* (pow x 2) (+ 1/2 (* -1/2 x))) 1))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))))>
#<alt (* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))>
Calls

54 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(* (* (* x x) (* x x)) (- 1 (/ 2 x)))
1.0ms
x
@0
(* (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))) 2)
1.0ms
x
@-inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@inf
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@0
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))

rewrite489.0ms (5.5%)

Algorithm
batch-egg-rewrite
Rules
5990×accelerator-lowering-fma.f32
5990×accelerator-lowering-fma.f64
4264×/-lowering-/.f32
4264×/-lowering-/.f64
3628×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043382
1273370
22753370
08822349
Stop Event
iter limit
node limit
Counts
18 → 651
Calls
Call 1
Inputs
(* x (+ x -2))
(/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(* x (* x (* (- 1 x) 1/2)))
(atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(* (* (* x x) (* x x)) (- 1 (/ 2 x)))
(* (* x x) (* x x))
(* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))
(/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))
(/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))
(* (* (- 1 x) 1/2) (* x x))
(/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))
(atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x)))))))
(* 2 (atan (/ (+ 1 (* x (+ x -2))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(- (- 1 x) (* x (* x (* (- 1 x) 1/2))))
(* 2 (atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2)))))))
(atan (/ (- (* (- 1 x) (- 1 x)) (* (* x (* x 1/4)) (* (* (* x x) (* x x)) (- 1 (/ 2 x))))) (- (- 1 x) (* x (* x (* (- 1 x) 1/2))))))
(* (atan (/ (+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1)) (* (+ 0 x) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))))) 2)
(+ (* (- 0 (* x x)) (/ 1 (+ 1 (* (* (- 1 x) 1/2) (* x x))))) (* (+ 0 x) 1))
Outputs
(+.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))
(+.f64 (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 x x))
(fma.f64 x (+.f64 x #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))))
(fma.f64 x (-.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))))
(fma.f64 x (pow.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) x (*.f64 x x))
(fma.f64 (+.f64 x #s(literal -2 binary64)) x (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 x #s(literal -2 binary64)) x (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal -2 binary64))))
(fma.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 0 binary64))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) #s(literal 0 binary64)) x))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.f64 x (-.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.f64 x (-.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))))))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)))

simplify760.0ms (8.5%)

Algorithm
egg-herbie
Rules
8918×accelerator-lowering-fma.f32
8918×accelerator-lowering-fma.f64
3868×*-lowering-*.f32
3868×*-lowering-*.f64
3476×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02823382
18383344
223983212
371133207
084382945
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -2 x)
(* x (- x 2))
(* x (- x 2))
(* x (- x 2))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(* -2 (pow x 3))
(* (pow x 3) (- x 2))
(* (pow x 3) (- x 2))
(* (pow x 3) (- x 2))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/2 (pow x 5))
(* (pow x 5) (- (* 1/4 x) 1/2))
(* (pow x 5) (- (* 1/4 x) 1/2))
(* (pow x 5) (- (* 1/4 x) 1/2))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (* 3/2 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/2 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 3/2 (/ 1 x))) x))) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(* -1/2 (pow x 3))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/2 (* 1/4 x))) 1/2)))
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (pow x 3))
(/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) x)) 2) x))) (pow x 3)))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* -1/2 x) 1)))
(+ 1 (* x (- (* x (- (* 1/2 x) 1/2)) 1)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 x)) x)) 1/2) x)) 1/2)))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* 1/2 (pow x 2)) 1))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/2 (* -1/2 x))) 1))))
x
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))))
(* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))
x
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 1)))
(* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))
Outputs
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- x 2))
(*.f64 x (+.f64 #s(literal -2 binary64) x))
(* x (- x 2))
(*.f64 x (+.f64 #s(literal -2 binary64) x))
(* x (- x 2))
(*.f64 x (+.f64 #s(literal -2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)
(/ (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 4) x)) 2) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) x)) x)) x)) x)
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- x 2))
(*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- x 2))
(*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- x 2))
(*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* -1/2 (pow x 5))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 1/4 x) 1/2))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 5) (- (* 1/4 x) 1/2))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 5) (- (* 1/4 x) 1/2))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/4 (pow x 6))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/2 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (* 3/2 (/ 1 (pow x 3)))) (+ 1/2 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 3/2 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/2 binary64) x)) x)) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/2 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(+ 1 (* (pow x 2) (- (* x (+ 1/2 (* 1/4 x))) 1/2)))
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(/ -2 (pow x 3))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) (pow x 3))
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(/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 6 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
(/ -2 (pow x 3))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 6 (/ 1 x))) x)) 2) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -6 binary64) x)) x)) x)) (*.f64 x (*.f64 x x)))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x)))
(atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (+ 1 (* x (- x 2))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (+ 1 (pow x 2)) (* 2 x)) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
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(* 2 (atan (/ (+ 1 (+ (* -2 x) (pow x 2))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
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1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) x)
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(* 1/2 (pow x 3))
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(* 1/2 (pow x 3))
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(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
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(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(* 2 (atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (- 1 x) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- 1 (+ x (* 1/2 (* (pow x 2) (- 1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(atan (/ (- (pow (+ 1 (* -1 x)) 2) (* 1/4 (* (pow x 6) (- 1 (* 2 (/ 1 x)))))) (- (+ 1 (* -1 x)) (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))
(atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (+ x (* -1 (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (/ (* (+ 1 (* 1/2 (* (pow x 2) (- 1 x)))) (- x (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (- 1 x))))))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))))
(* 2 (atan (* -1 (/ (* (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x))))) (+ (* -1 x) (/ (pow x 2) (+ 1 (* 1/2 (* (pow x 2) (+ 1 (* -1 x)))))))) x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- (* 1/2 (pow x 2)) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(* x (+ 1 (* x (- (* (pow x 2) (+ 1/2 (* -1/2 x))) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
x
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 2 binary64) x))
(* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))))
(+.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(* x (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))
(+.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
x
(* x (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) 1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x))))
(* -1 (* x (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 1 (* 2 (/ 1 (pow x 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) (*.f64 x x)) #s(literal -1 binary64))))

eval199.0ms (2.2%)

Compiler

Compiled 58350 to 5093 computations (91.3% saved)

prune249.0ms (2.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New111371120
Fresh000
Picked303
Done077
Total1116141130
Accuracy
100.0%
Counts
1130 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
34.1%
(*.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))) #s(literal 2 binary64))
99.6%
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
97.0%
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))))
98.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
99.6%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 945 to 379 computations (59.9% saved)

regimes31.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))))
(*.f64 (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Calls

5 calls:

9.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
5.0ms
x
4.0ms
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
4.0ms
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes7.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))))
(*.f64 (atan.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x))))) #s(literal 2 binary64))
(*.f64 (atan.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
Outputs
(*.f64 (atan.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

soundness2.0ms (0%)

Stop Event
fuel
Compiler

Compiled 164 to 66 computations (59.8% saved)

preprocess51.0ms (0.6%)

Compiler

Compiled 352 to 150 computations (57.4% saved)

end0.0ms (0%)

Profiling

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