arccos

Time bar (total: 9.8s)

analyze8.0ms (0.1%)

Algorithm
1×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%100%0%0%0%0%3
33.3%25%50%0%0%25%0%4
60%37.5%25%0%0%37.5%0%5
77.8%43.7%12.5%0%0%43.7%0%6
88.2%46.9%6.2%0%0%46.9%0%7
93.9%48.4%3.1%0%0%48.4%0%8
96.9%49.2%1.6%0%0%49.2%0%9
98.4%49.6%0.8%0%0%49.6%0%10
99.2%49.8%0.4%0%0%49.8%0%11
99.6%49.9%0.2%0%0%49.9%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.8% of total)
ival-sub: 1.0ms (22.9% of total)
ival-sqrt: 1.0ms (22.9% of total)
ival-atan: 1.0ms (22.9% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample938.0ms (9.6%)

Results
665.0ms8256×0valid
1.0ms17×0invalid
Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-atan: 117.0ms (24.5% of total)
ival-sqrt: 88.0ms (18.4% of total)
ival-mult: 76.0ms (15.9% of total)
ival-sub: 71.0ms (14.9% of total)
ival-div: 58.0ms (12.2% of total)
ival-add: 51.0ms (10.7% of total)
const: 15.0ms (3.1% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess64.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
1016×fnmadd-define
792×sum3-define
642×fma-define
532×fmsub-define
516×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
14233
27433
315133
432133
575733
6206933
7308633
8340933
0911
11811
22511
33711
46311
510911
618111
728911
866011
9121311
10169611
11171611
0171611
Stop Event
1×iter limit
1×saturated
1×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
52.0ms512×0valid
Compiler

Compiled 104 to 29 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 7.0ms (22.1% of total)
ival-div: 6.0ms (19% of total)
ival-atan: 6.0ms (19% of total)
ival-sub: 4.0ms (12.7% of total)
ival-sqrt: 4.0ms (12.7% of total)
ival-add: 3.0ms (9.5% 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)

simplify32.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓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
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
Rules
446×fnmadd-define
400×sum3-define
324×fma-define
294×fmsub-define
282×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0944
11844
22544
33744
46344
510944
618144
728944
866044
9121344
10169644
11171644
0171644
Stop Event
1×iter limit
1×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)

localize36.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))
Results
24.0ms256×0valid
Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 3.0ms (21.9% of total)
ival-sub: 2.0ms (14.6% of total)
ival-div: 2.0ms (14.6% of total)
ival-sqrt: 2.0ms (14.6% of total)
ival-atan: 2.0ms (14.6% of total)
ival-add: 1.0ms (7.3% of total)
const: 1.0ms (7.3% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

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

12 calls:

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

rewrite253.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2432×/-lowering-/.f32
2432×/-lowering-/.f64
2382×*-lowering-*.f32
2382×*-lowering-*.f64
1310×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
14635
234835
3481935
0821335
Stop Event
1×iter limit
1×node limit
Counts
4 → 237
Calls
Call 1
Inputs
(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))
(atan (sqrt (/ (- 1 x) (+ 1 x))))
(sqrt (/ (- 1 x) (+ 1 x)))
(/ (- 1 x) (+ 1 x))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(neg.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 (/.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (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 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (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 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (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))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (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 (neg.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (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 (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 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.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 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.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 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))

simplify218.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2544×*-lowering-*.f32
2544×*-lowering-*.f64
1990×+-lowering-+.f64
1990×+-lowering-+.f32
1986×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107519
1313442
2910432
32496428
08495428
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 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))))))
(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)))))
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)))
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)
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 (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)))))
(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))))
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 (-.f64 #s(literal 1 binary64) 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 -1/2 binary64) x) #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)))) (+ (* 1/2 (/ (- 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 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 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 (/ (- (* 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 -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))
(+ (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) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 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))

eval39.0ms (0.4%)

Compiler

Compiled 6730 to 1306 computations (80.6% saved)

prune30.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2814285
Fresh000
Picked011
Done000
Total2815286
Accuracy
100.0%
Counts
286 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.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))))))))
▶99.1%
(*.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)))))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶97.9%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 54 to 44 computations (18.5% saved)

simplify243.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(atan.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
✓cost-diff128
(+.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))))))
✓cost-diff128
(atan.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)))))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (atan.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))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.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
(*.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)))))))
✓cost-diff0
(atan.f64 #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Rules
2768×fma-lowering-fma.f32
2768×fma-lowering-fma.f64
2572×sum5-define
2460×sum3-define
2344×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023158
152142
2130142
3247130
4682130
51800130
64169130
75825130
85904130
95904130
08840130
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan 1))
2
(atan 1)
1
(* 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 (* x (* (- 1 x) 1/2)))))))
2
(atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))
(+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))
1
(* x (+ -1 (* x (* (- 1 x) 1/2))))
x
(+ -1 (* x (* (- 1 x) 1/2)))
-1
(* x (* (- 1 x) 1/2))
(* (- 1 x) 1/2)
(- 1 x)
1/2
(* 2 (atan (- 1 x)))
2
(atan (- 1 x))
(- 1 x)
1
x
Outputs
(* 2 (atan 1))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 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 (* x (* (- 1 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)))))))
2
#s(literal 2 binary64)
(atan (+ 1 (* x (+ -1 (* x (* (- 1 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 (* x (* (- 1 x) 1/2)))))
(*.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)
(* x (+ -1 (* x (* (- 1 x) 1/2))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
x
(+ -1 (* x (* (- 1 x) 1/2)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* 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)
1/2
#s(literal 1/2 binary64)
(* 2 (atan (- 1 x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
2
#s(literal 2 binary64)
(atan (- 1 x))
(atan.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize107.0ms (1.1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
✓accuracy100.0%
(atan.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)))))))
✓accuracy100.0%
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) 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))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
✓accuracy100.0%
(atan.f64 #s(literal 1 binary64))
Results
69.0ms256×0valid
Compiler

Compiled 160 to 24 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 16.0ms (43.7% of total)
ival-atan: 11.0ms (30% of total)
ival-add: 5.0ms (13.7% of total)
ival-sub: 4.0ms (10.9% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
15 → 156
Calls
Call 1
Inputs
#<alt (* 2 (atan 1))>
#<alt (atan 1)>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))>
#<alt (atan (+ 1 (* x (+ -1 (* x 1/2)))))>
#<alt (+ 1 (* x (+ -1 (* x 1/2))))>
#<alt (* x (+ -1 (* x 1/2)))>
#<alt (* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))>
#<alt (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))>
#<alt (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))>
#<alt (* x (+ -1 (* x (* (- 1 x) 1/2))))>
#<alt (* 2 (atan (- 1 x)))>
#<alt (atan (- 1 x))>
#<alt (- 1 x)>
#<alt (* x 1/2)>
#<alt (* x (* (- 1 x) 1/2))>
Outputs
#<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 (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 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 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 (* 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 (- (* 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 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 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 (* 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 (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 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 (* 1/2 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 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))>
Calls

39 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* x (+ -1 (* x (* (- 1 x) 1/2))))
1.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
1.0ms
x
@inf
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@-inf
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
0.0ms
x
@inf
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))

rewrite334.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
4552×*-lowering-*.f32
4552×*-lowering-*.f64
3122×/-lowering-/.f32
3122×/-lowering-/.f64
2194×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023121
1107107
2946107
08895107
Stop Event
1×iter limit
1×node limit
Counts
15 → 312
Calls
Call 1
Inputs
(* 2 (atan 1))
(atan 1)
(* 2 (atan (+ 1 (* x (+ -1 (* x 1/2))))))
(atan (+ 1 (* x (+ -1 (* x 1/2)))))
(+ 1 (* x (+ -1 (* x 1/2))))
(* x (+ -1 (* x 1/2)))
(* 2 (atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))))
(atan (+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2))))))
(+ 1 (* x (+ -1 (* x (* (- 1 x) 1/2)))))
(* x (+ -1 (* x (* (- 1 x) 1/2))))
(* 2 (atan (- 1 x)))
(atan (- 1 x))
(- 1 x)
(* x 1/2)
(* x (* (- 1 x) 1/2))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
(*.f64 (atan.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
(atan.f64 #s(literal 1 binary64))
(*.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #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 #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 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 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 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (+.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 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.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)))) #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 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) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.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)))) #s(literal -1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (+.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)))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (+.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #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 (*.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 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.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)))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (neg.f64 (+.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 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) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #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 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (*.f64 (+.f64 #s(literal 1 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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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 #s(literal 1/2 binary64)))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) (+.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)))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.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))) (*.f64 x (*.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 (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.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)))) #s(literal -1 binary64)))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.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 (*.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 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.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 #s(literal 1 binary64) x)))))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)

simplify182.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2156×*-lowering-*.f32
2156×*-lowering-*.f64
1378×+-lowering-+.f64
1378×+-lowering-+.f32
1088×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981228
12701124
28131049
326891009
081881009
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 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))))))
(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)))))
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 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)))
(* 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 (- (* 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))))
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 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)))))
(* 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))))
(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)))
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))))
(* 1/2 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 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))
Outputs
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(* 2 (atan (+ 1 (* x (- (* 1/2 x) 1)))))
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(*.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 x (*.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))))
(* (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 x (*.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))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))

eval108.0ms (1.1%)

Compiler

Compiled 13387 to 1881 computations (85.9% saved)

prune46.0ms (0.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5174521
Fresh000
Picked134
Done011
Total5188526
Accuracy
100.0%
Counts
526 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
✓98.7%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
▶99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.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))))))))
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓97.9%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 141 to 90 computations (36.2% saved)

simplify216.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
✓cost-diff128
(atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
✓cost-diff1920
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))
✓cost-diff1920
(atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))))
✓cost-diff1920
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
Rules
2434×*-lowering-*.f32
2434×*-lowering-*.f64
2388×fma-lowering-fma.f32
2388×fma-lowering-fma.f64
1896×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038375
197323
2300319
31292313
47638313
08323313
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
2
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(+ 1 (* x (* x 1/2)))
1
(* x (* x 1/2))
x
(* x 1/2)
1/2
(- 1 x)
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
2
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1)
(* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2)))))))
(+ -1 (* x (+ 1/2 (* x -1/2))))
-1
(* x (+ 1/2 (* x -1/2)))
x
(+ 1/2 (* x -1/2))
1/2
(* x -1/2)
-1/2
(* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))
(* x (+ -1 (* x (+ 1/2 (* x -1/2)))))
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
1
(+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
2
(atan (+ (- 1 x) (* x (* x 1/2))))
(+ (- 1 x) (* x (* x 1/2)))
(- 1 x)
1
x
(* x (* x 1/2))
(* x 1/2)
1/2
(* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))
2
(atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))))
(- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))
(/ (* x x) (+ 1 x))
(* x x)
(* x (* x (+ 1/2 (* x -1/2))))
(* x (+ 1/2 (* x -1/2)))
(+ 1/2 (* x -1/2))
1/2
(* x -1/2)
-1/2
Outputs
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(+ 1 (* x (* x 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
2
#s(literal 2 binary64)
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1)
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2)))))))
(*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(+ -1 (* x (+ 1/2 (* x -1/2))))
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ 1/2 (* x -1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ 1/2 (* x -1/2))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* x (+ -1 (* x (+ 1/2 (* x -1/2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))))
1
#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 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
2
#s(literal 2 binary64)
(atan (+ (- 1 x) (* x (* x 1/2))))
(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+ (- 1 x) (* x (* x 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
2
#s(literal 2 binary64)
(atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))))
(atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))
(*.f64 x (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(/ (* x x) (+ 1 x))
(*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x x)
(*.f64 x x)
(* x (* x (+ 1/2 (* x -1/2))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* x (+ 1/2 (* x -1/2)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+ 1/2 (* x -1/2))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize2.1s (21.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy99.9%
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.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 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓accuracy100.0%
(atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓accuracy100.0%
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))
Results
1.2s256×0valid
Compiler

Compiled 501 to 39 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 1.0s (92.5% of total)
ival-mult: 58.0ms (5.3% of total)
ival-atan: 11.0ms (1% of total)
ival-add: 9.0ms (0.8% of total)
ival-sub: 4.0ms (0.4% of total)
const: 1.0ms (0.1% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.4%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))>
#<alt (atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))>
#<alt (* (+ 1 (* x (* x 1/2))) (- 1 x))>
#<alt (+ 1 (* x (* x 1/2)))>
#<alt (* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))>
#<alt (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))>
#<alt (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))>
#<alt (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1)>
#<alt (* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))>
#<alt (atan (+ (- 1 x) (* x (* x 1/2))))>
#<alt (+ (- 1 x) (* x (* x 1/2)))>
#<alt (- 1 x)>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))))>
#<alt (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))>
#<alt (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))>
#<alt (* x 1/2)>
#<alt (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))>
#<alt (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))>
#<alt (* x (+ -1 (* x (+ 1/2 (* x -1/2)))))>
#<alt (* x (+ 1/2 (* x -1/2)))>
#<alt (* x (* x (+ 1/2 (* x -1/2))))>
#<alt (/ (* x x) (+ 1 x))>
Outputs
#<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 (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>
#<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 (* 1/2 (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))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 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 (* -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 (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1)))) 1)>
#<alt (* 1/4 (pow x 6))>
#<alt (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))>
#<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 (* 5/4 (/ 1 x))) x))))>
#<alt (* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) 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 (* 1/2 (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 (* 1/2 (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 (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 (* 1/2 (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 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 (* -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 (* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))>
#<alt (* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))>
#<alt (* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))>
#<alt (* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))>
#<alt (* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))>
#<alt (* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))>
#<alt (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))>
#<alt (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))>
#<alt (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))>
#<alt (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))>
#<alt (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))>
#<alt (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))>
#<alt (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))>
#<alt (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))>
#<alt (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))>
#<alt (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))>
#<alt (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))>
#<alt (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- x 1/2))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))>
#<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 (* 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>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -3/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 5/2 x) 3/2)))) 1)>
#<alt (/ -2 (pow x 3))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 2 (pow x 2)) (+ 2 (* 2 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (+ (* 10 (/ 1 (pow x 3))) (/ 2 (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 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 10 (pow x 2))) 2) x))) (pow x 3)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 x) 1))>
#<alt (* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))>
#<alt (* -1/2 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))>
#<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 (* 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- x 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))>
Calls

69 calls:

TimeVariablePointExpression
17.0ms
x
@0
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
3.0ms
x
@0
(* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))
1.0ms
x
@inf
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
1.0ms
x
@inf
(* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))
1.0ms
x
@-inf
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))

rewrite510.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
4550×*-lowering-*.f32
4550×*-lowering-*.f64
2366×/-lowering-/.f32
2366×/-lowering-/.f64
2034×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038345
1224211
22252208
08595208
Stop Event
1×iter limit
1×node limit
Counts
23 → 570
Calls
Call 1
Inputs
(* 2 (atan (* (+ 1 (* x (* x 1/2))) (- 1 x))))
(atan (* (+ 1 (* x (* x 1/2))) (- 1 x)))
(* (+ 1 (* x (* x 1/2))) (- 1 x))
(+ 1 (* x (* x 1/2)))
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))) -1)
(* 2 (atan (+ (- 1 x) (* x (* x 1/2)))))
(atan (+ (- 1 x) (* x (* x 1/2))))
(+ (- 1 x) (* x (* x 1/2)))
(- 1 x)
(* 2 (atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))))
(atan (- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))))
(- (/ 1 (+ 1 x)) (- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2))))))
(- (/ (* x x) (+ 1 x)) (* x (* x (+ 1/2 (* x -1/2)))))
(* x 1/2)
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
(* x (* x (+ -1 (* x (+ 1/2 (* x -1/2))))))
(* x (+ -1 (* x (+ 1/2 (* x -1/2)))))
(* x (+ 1/2 (* x -1/2)))
(* x (* x (+ 1/2 (* x -1/2))))
(/ (* x x) (+ 1 x))
Outputs
(*.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))))
(*.f64 (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))) #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)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.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 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.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 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.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 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.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 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.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 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.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 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.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 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.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 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.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 1/2 binary64) (*.f64 x x))))
(/.f64 (*.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) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.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 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 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 #s(literal 1/2 binary64) (*.f64 x x))) (-.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 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 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.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 1/2 binary64) (*.f64 x x))))
(/.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 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #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 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 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 1/2 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #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 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))) #s(literal 2 binary64))
(atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))) x) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) x)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))

simplify235.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3166×*-lowering-*.f32
3166×*-lowering-*.f64
2356×+-lowering-+.f64
2356×+-lowering-+.f32
1496×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02553294
17862876
224822839
084082839
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 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))))))
(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
(+ 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 (* 1/2 (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))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (pow (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))) 2)) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (pow (- (* x (+ 1/2 (* -1/2 x))) 1) 2)) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 x))) 1)
(- (* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1)))) 1)
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/4 (pow x 6))
(* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x))))
(* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) 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 (* 1/2 (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 (* 1/2 (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))))))
(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 (* 1/2 (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)))))
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 (* -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))))
(* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
(* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
(* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
(* 2 (atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x)))))
(* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))
(* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))
(* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))
(* 2 (atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x))))))
(* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))
(* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))
(* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))
(* 2 (atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x))))))
(atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))
(atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))
(atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))
(atan (- (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ 1 (+ 1 x))) (/ (pow x 2) (+ 1 x))))
(atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))
(atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))
(atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))
(atan (- (+ (* 1/2 (pow x 2)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 3)) (/ (pow x 2) (+ 1 x)))))
(atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))
(atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))
(atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (pow x 2) (- 1 (* -1 x)))))
(atan (- (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (/ 1 (- 1 (* -1 x))))) (/ (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)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))
(* 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)))
(* 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 1)
(- (* x (+ 1 (* -3/2 x))) 1)
(- (* x (+ 1 (* x (- (* 5/2 x) 3/2)))) 1)
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(/ (- (/ 2 (pow x 2)) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/ (- (+ (* 10 (/ 1 (pow x 3))) (/ 2 (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 10 (pow x 2))) 2) x))) (pow x 3)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 x) 1))
(* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))
(* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(* -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))
(* 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)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- x 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
x
(* x (- 1 (/ 1 x)))
(* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
Outputs
(* 2 (atan (* (+ 1 (* 1/2 (pow x 2))) (- 1 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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
(*.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 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.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 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.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 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.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 x)) (+ 1 (* 1/2 (pow x 2))))))
(*.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 (* 1/2 (pow x 2))) (- 1 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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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 x)) (+ 1 (* 1/2 (pow x 2)))))
(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 x)) (+ 1 (* 1/2 (pow x 2)))))
(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 x)) (+ 1 (* 1/2 (pow x 2)))))
(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 x)) (+ 1 (* 1/2 (pow x 2)))))
(atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) x))))
(+ 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 x (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) 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 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/2 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 (*.f64 x (*.f64 x 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 (*.f64 x 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -3/2 x))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3/2 binary64)))))
(- (* x (+ 1 (* x (- (* 5/2 x) 3/2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3/2 binary64) (*.f64 x #s(literal 5/2 binary64)))))))
(/ -2 (pow x 3))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x 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)))
(/ (- (/ 2 (pow x 2)) (+ 2 (* 2 (/ 1 x)))) (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)))
(/ (- (+ (* 10 (/ 1 (pow x 3))) (/ 2 (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (/.f64 #s(literal 10 binary64) (*.f64 x x)) x)) (*.f64 x (*.f64 x x)))
(/ -2 (pow x 3))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x 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 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) (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 (/ (- (+ (* 2 (/ 1 x)) (/ 10 (pow x 2))) 2) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 10 binary64) (*.f64 x x)))) x)) (*.f64 x (*.f64 x x)))
(* -1 (pow x 2))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
(* (pow x 2) (- (* 1/2 x) 1))
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow x 2) (- (* x (+ 1/2 (* -1/2 x))) 1))
(*.f64 (*.f64 x 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 4))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1/2 (pow x 4))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(* 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 x (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))))))
(* -1/2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 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 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 (*.f64 x 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 #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 x (*.f64 (*.f64 x 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 x (*.f64 (*.f64 x 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))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (* x (- x 1))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
(+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x)))

eval150.0ms (1.5%)

Compiler

Compiled 42741 to 3846 computations (91% saved)

prune92.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New104641050
Fresh000
Picked224
Done044
Total1048101058
Accuracy
100.0%
Counts
1058 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
▶99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
▶99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
✓98.7%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.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))))))))
▶99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓97.9%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 169 to 118 computations (30.2% saved)

simplify186.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))
✓cost-diff0
(atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
✓cost-diff0
(atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
✓cost-diff0
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
✓cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64))
✓cost-diff128
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))
✓cost-diff128
(atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
Rules
2806×*-lowering-*.f32
2806×*-lowering-*.f64
2668×fma-lowering-fma.f32
2668×fma-lowering-fma.f64
1916×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047496
1139435
2445428
31558422
46776422
08024422
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
2
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1)
(* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x)))))
(+ -1 (* x (+ 1/2 (* x -1/2))))
-1
(* x (+ 1/2 (* x -1/2)))
x
(+ 1/2 (* x -1/2))
1/2
(* x -1/2)
-1/2
(* x (* x (+ -1 (* 1/2 x))))
(* x (+ -1 (* 1/2 x)))
(+ -1 (* 1/2 x))
(* 1/2 x)
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
1
(+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)
(* x (+ -1 (* x (+ 1/2 (* x -1/2)))))
(* 2 (atan (- (+ 1 (* 1/2 (* x x))) x)))
2
(atan (- (+ 1 (* 1/2 (* x x))) x))
(- (+ 1 (* 1/2 (* x x))) x)
(+ 1 (* 1/2 (* x x)))
1
(* 1/2 (* x x))
1/2
(* x x)
x
(* 2 (atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))))
2
(atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))))
(- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))
(* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))
(+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))
1/2
(* x (+ -1/2 (* x (- 1 x))))
(+ -1/2 (* x (- 1 x)))
-1/2
(* x (- 1 x))
(- 1 x)
(* 2 (atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))))
2
(atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2))))))
(- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))
(/ 1 (+ 1 x))
1
(+ 1 x)
x
(* (* x x) (+ 1/2 (* x (+ x -1/2))))
(* x x)
(+ 1/2 (* x (+ x -1/2)))
1/2
(* x (+ x -1/2))
(+ x -1/2)
-1/2
Outputs
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
2
#s(literal 2 binary64)
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ -1 (* x (+ 1/2 (* x -1/2))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ 1/2 (* x -1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ 1/2 (* x -1/2))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (* x (+ -1 (* 1/2 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ -1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+ -1 (* 1/2 x))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
(/.f64 #s(literal 1 binary64) (+.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
#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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(* x (+ -1 (* x (+ 1/2 (* x -1/2)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* 2 (atan (- (+ 1 (* 1/2 (* x x))) x)))
(*.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))))
2
#s(literal 2 binary64)
(atan (- (+ 1 (* 1/2 (* x x))) x))
(atan.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(- (+ 1 (* 1/2 (* x x))) x)
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(* 2 (atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))))
2
#s(literal 2 binary64)
(atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))))
(atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
1/2
#s(literal 1/2 binary64)
(* x (+ -1/2 (* x (- 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(+ -1/2 (* x (- 1 x)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))
-1/2
#s(literal -1/2 binary64)
(* x (- 1 x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(* 2 (atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
2
#s(literal 2 binary64)
(atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2))))))
(atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))))
(- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))
(/ 1 (+ 1 x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* (* x x) (+ 1/2 (* x (+ x -1/2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/2 (* x (+ x -1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))
1/2
#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))
-1/2
#s(literal -1/2 binary64)

localize212.0ms (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))
✓accuracy100.0%
(atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))))
✓accuracy100.0%
(*.f64 x (+.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
✓accuracy100.0%
(atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
Results
124.0ms256×0valid
Compiler

Compiled 540 to 48 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 38.0ms (52.5% of total)
ival-add: 14.0ms (19.3% of total)
ival-atan: 11.0ms (15.2% of total)
ival-sub: 5.0ms (6.9% of total)
ival-div: 4.0ms (5.5% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))>
#<alt (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))>
#<alt (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))>
#<alt (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1)>
#<alt (* 2 (atan (- (+ 1 (* 1/2 (* x x))) x)))>
#<alt (atan (- (+ 1 (* 1/2 (* x x))) x))>
#<alt (- (+ 1 (* 1/2 (* x x))) x)>
#<alt (+ 1 (* 1/2 (* x x)))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))))>
#<alt (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))>
#<alt (/ 1 (+ 1 x))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2))))))>
#<alt (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))>
#<alt (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))>
#<alt (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x)))))>
#<alt (* x (* x (+ -1 (* 1/2 x))))>
#<alt (* x (+ -1 (* 1/2 x)))>
#<alt (* 1/2 (* x x))>
#<alt (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))>
#<alt (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))>
#<alt (* x (- 1 x))>
#<alt (* (* x x) (+ 1/2 (* x (+ x -1/2))))>
#<alt (* x (+ x -1/2))>
Outputs
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))>
#<alt (* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))>
#<alt (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))>
#<alt (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 4))) (+ (/ 1 x) (/ 1 (pow x 3)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 3/4 x) 1)))) 1)>
#<alt (* -1/4 (pow x 5))>
#<alt (* (pow x 5) (- (* 3/4 (/ 1 x)) 1/4))>
#<alt (* (pow x 5) (- (* 3/4 (/ 1 x)) (+ 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (* 3/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/4 (* 3/4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (- 3/4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (+ 3/4 (* -1 (/ (- 1 (/ 1 x)) x))) 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 (* 1/2 (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 (* 1/2 (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 (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 (* 1/2 (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 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 (* 1/2 (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))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (- 1 (/ 1 x)))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 5) (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (/ 1 x) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))>
#<alt (* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))>
#<alt (* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))>
#<alt (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<alt (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))>
#<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 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) 1))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 5))) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 x)) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1/2) x)) 1/2) x)) 1))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -3/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 5/2 x) 3/2)))) 1)>
#<alt (/ -2 (pow x 3))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 2 (pow x 2)) (+ 2 (* 2 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (+ (* 10 (/ 1 (pow x 3))) (/ 2 (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 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 10 (pow x 2))) 2) x))) (pow x 3)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 3/4 x) 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 3/4 (* -1/4 x))) 1))))>
#<alt (* -1/4 (pow x 5))>
#<alt (* (pow x 5) (- (* 3/4 (/ 1 x)) 1/4))>
#<alt (* (pow x 5) (- (* 3/4 (/ 1 x)) (+ 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (* 3/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1 (pow x 2)))))>
#<alt (* -1/4 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/4 (* 3/4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (- 3/4 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (+ 3/4 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 x) 1))>
#<alt (* (pow x 2) (- (* 1/2 x) 1))>
#<alt (* (pow x 2) (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 3) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 x) 1/2)))>
#<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 (* 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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- x 1/2))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))>
#<alt (* -1 (pow x 5))>
#<alt (* (pow x 5) (- (/ 1 x) 1))>
#<alt (* (pow x 5) (- (/ 1 x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 x)))>
#<alt (* x (+ 1/2 (* x (- x 1/2))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (/ 1 x) 1))>
#<alt (* (pow x 4) (- (/ 1 x) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))) (+ 1 (/ 1/2 (pow x 2)))))>
#<alt (* -1 (pow x 4))>
#<alt (* (pow x 4) (- (/ 1 x) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* (pow x 2) (- (/ 1 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (- x 1/2))))>
#<alt (* (pow x 2) (+ 1/2 (* x (- x 1/2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))>
#<alt (* -1/2 x)>
#<alt (* x (- x 1/2))>
#<alt (* x (- x 1/2))>
#<alt (* x (- x 1/2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 1/2 (/ 1 x))))>
Calls

75 calls:

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

rewrite583.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3580×*-lowering-*.f32
3580×*-lowering-*.f64
2778×/-lowering-/.f32
2778×/-lowering-/.f64
1736×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047364
1308320
22996314
08825314
Stop Event
1×iter limit
1×node limit
Counts
25 → 458
Calls
Call 1
Inputs
(* 2 (atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))))
(atan (* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))))
(* (+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1) (/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1)))
(+ (* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x))))) -1)
(* 2 (atan (- (+ 1 (* 1/2 (* x x))) x)))
(atan (- (+ 1 (* 1/2 (* x x))) x))
(- (+ 1 (* 1/2 (* x x))) x)
(+ 1 (* 1/2 (* x x)))
(* 2 (atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))))
(atan (- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))))
(- (/ 1 (+ 1 x)) (* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))))
(/ 1 (+ 1 x))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))))
(atan (- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2))))))
(- (/ 1 (+ 1 x)) (* (* x x) (+ 1/2 (* x (+ x -1/2)))))
(/ 1 (+ (* x (+ -1 (* x (+ 1/2 (* x -1/2))))) -1))
(* (+ -1 (* x (+ 1/2 (* x -1/2)))) (* x (* x (+ -1 (* 1/2 x)))))
(* x (* x (+ -1 (* 1/2 x))))
(* x (+ -1 (* 1/2 x)))
(* 1/2 (* x x))
(* x (* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x)))))))
(* x (+ 1/2 (* x (+ -1/2 (* x (- 1 x))))))
(* x (- 1 x))
(* (* x x) (+ 1/2 (* x (+ x -1/2))))
(* x (+ x -1/2))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.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))))))))) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 #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))))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 #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))))))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.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))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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))))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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))))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) (*.f64 (+.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))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) (*.f64 (+.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))))))) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.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))))))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.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))))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))) (*.f64 (-.f64 #s(literal 0 binary64) (+.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)))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.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)))))))) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x))))
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(*.f64 (+.f64 x #s(literal -1/2 binary64)) x)

simplify256.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4090×*-lowering-*.f32
4090×*-lowering-*.f64
3794×+-lowering-+.f64
3794×+-lowering-+.f32
1216×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03233764
110233367
231493291
082753291
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 4))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (/ 1 (pow x 2))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 (pow x 3))) x))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 x))) 1)
(- (* (pow x 2) (+ 1 (* x (- (* 3/4 x) 1)))) 1)
(* -1/4 (pow x 5))
(* (pow x 5) (- (* 3/4 (/ 1 x)) 1/4))
(* (pow x 5) (- (* 3/4 (/ 1 x)) (+ 1/4 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ (* 3/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1 (pow x 2)))))
(* -1/4 (pow x 5))
(* -1 (* (pow x 5) (- 1/4 (* 3/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (- 3/4 (/ 1 x)) x)))))
(* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (+ 3/4 (* -1 (/ (- 1 (/ 1 x)) x))) 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 (* 1/2 (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 (* 1/2 (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))))))
(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 (* 1/2 (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)))))
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 (* 1/2 (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))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2)))))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- (* x (- 1 x)) 1/2))))))
(atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (+ (/ 1 (+ 1 x)) (pow x 5))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* 1/2 (pow x 2)) (* (pow x 3) (- (* x (+ 1 (* -1 x))) 1/2)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(pow x 5)
(* (pow x 5) (- 1 (/ 1 x)))
(* (pow x 5) (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)))
(* (pow x 5) (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow x 5)
(* -1 (* (pow x 5) (- (/ 1 x) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))
(* 2 (atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2)))))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))
(* 2 (atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))
(atan (- (/ 1 (+ 1 x)) (* (pow x 2) (+ 1/2 (* x (- x 1/2))))))
(atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (+ (* 1/2 (pow x 3)) (/ 1 (+ 1 x))) (+ (* 1/2 (pow x 2)) (pow x 4))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))
(atan (- (/ 1 (- 1 (* -1 x))) (+ (* -1/2 (pow x 3)) (+ (* 1/2 (pow x 2)) (pow x 4)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))
(* -1 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1))
(* (pow x 4) (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 5))) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 x)) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 3)) 1/2) x)) 1/2) x)) 1))
-1
(- x 1)
(- (* x (+ 1 (* -3/2 x))) 1)
(- (* x (+ 1 (* x (- (* 5/2 x) 3/2)))) 1)
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(/ (- (/ 2 (pow x 2)) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/ (- (+ (* 10 (/ 1 (pow x 3))) (/ 2 (pow x 2))) (+ 2 (* 2 (/ 1 x)))) (pow x 3))
(/ -2 (pow x 3))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (* 2 (/ 1 x)) 2) x))) (pow x 3)))
(* -1 (/ (+ 2 (* -1 (/ (- (+ (* 2 (/ 1 x)) (/ 10 (pow x 2))) 2) x))) (pow x 3)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 3/4 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 3/4 (* -1/4 x))) 1))))
(* -1/4 (pow x 5))
(* (pow x 5) (- (* 3/4 (/ 1 x)) 1/4))
(* (pow x 5) (- (* 3/4 (/ 1 x)) (+ 1/4 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ (* 3/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1 (pow x 2)))))
(* -1/4 (pow x 5))
(* -1 (* (pow x 5) (- 1/4 (* 3/4 (/ 1 x)))))
(* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (- 3/4 (/ 1 x)) x)))))
(* -1 (* (pow x 5) (+ 1/4 (* -1 (/ (+ 3/4 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 x) 1))
(* (pow x 2) (- (* 1/2 x) 1))
(* (pow x 2) (- (* 1/2 x) 1))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (/ 1 x)))
(* (pow x 3) (- 1/2 (/ 1 x)))
(* (pow x 3) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- (/ 1 x) 1/2)))
(* -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)))
(* 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))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))
(* -1 (pow x 5))
(* (pow x 5) (- (/ 1 x) 1))
(* (pow x 5) (- (/ 1 x) (+ 1 (/ 1/2 (pow x 2)))))
(* (pow x 5) (- (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 (pow x 5))
(* -1 (* (pow x 5) (- 1 (/ 1 x))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 5) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 x)))
(* x (+ 1/2 (* x (- x 1/2))))
(* x (+ 1/2 (* x (- (* x (+ 1 (* -1 x))) 1/2))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ 1 x) 1))
(* (pow x 4) (- (/ 1 x) (+ 1 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))) (+ 1 (/ 1/2 (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ 1 x) 1))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* -1 x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* (pow x 2) (- (/ 1 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 x)))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(pow x 4)
(* (pow x 4) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(pow x 4)
(* (pow x 4) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))
(* -1/2 x)
(* x (- x 1/2))
(* x (- x 1/2))
(* x (- x 1/2))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
Outputs
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 x x)))) (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
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(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
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(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
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(* 2 (atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3))))))))
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(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
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(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
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(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
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(* 2 (atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1))))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* x (+ 1/2 (* -1/2 x))) 1))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
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(atan (/ (- (* (pow x 2) (* (- (* 1/2 x) 1) (- (* 1/2 x) (+ 1 (* 1/2 (pow x 2)))))) 1) (- (* 1/2 (pow x 2)) (+ 1 (+ x (* 1/2 (pow x 3)))))))
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(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(atan (/ (- (* -1 (* (pow x 2) (* (+ 1 (* -1/2 x)) (- (* x (+ 1/2 (* -1/2 x))) 1)))) 1) (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 1)))
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))) (+ 1 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) x) #s(literal -1 binary64))))
(* -1 (pow x 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1 x) 1))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) 1))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1) x)) 1))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x)))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))
(* (pow x 2) (+ 1/2 (* x (- x 1/2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64)))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (* 1/2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- x 1/2))
(*.f64 x (+.f64 x #s(literal -1/2 binary64)))
(* x (- x 1/2))
(*.f64 x (+.f64 x #s(literal -1/2 binary64)))
(* x (- x 1/2))
(*.f64 x (+.f64 x #s(literal -1/2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- 1 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))

eval110.0ms (1.1%)

Compiler

Compiled 33645 to 3020 computations (91% saved)

prune87.0ms (0.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New7846790
Fresh000
Picked134
Done066
Total78515800
Accuracy
100.0%
Counts
800 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
✓99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
✓98.7%
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
✓99.1%
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.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))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
99.3%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
✓99.2%
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) x))))
✓100.0%
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓97.9%
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Compiler

Compiled 1020 to 380 computations (62.7% saved)

regimes28.0ms (0.3%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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 #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 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))))
(*.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:

5.0ms
x
5.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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)

regimes8.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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 #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 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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 #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 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x #s(literal -1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 (atan.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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 #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 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 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
98.7%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 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify84.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
510×distribute-lft-neg-in_binary64
414×unsub-neg_binary64
288×neg-mul-1_binary64
260×neg-sub0_binary64
204×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079189
1142189
2156189
3168189
4179189
5193189
6204189
7219189
8230189
9249189
10345189
11587189
12865189
131136189
141345189
151486189
161568189
171610189
181632189
191649189
201663189
211674189
221679189
231680189
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.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 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.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)))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/4 binary64))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.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 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (*.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) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (atan.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.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 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(literal 1 binary64)))

soundness2.0s (20.3%)

Rules
4552×*-lowering-*.f32
4552×*-lowering-*.f64
4090×*-lowering-*.f32
4090×*-lowering-*.f64
3794×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0981228
12701124
28131049
326891009
081881009
02553294
17862876
224822839
084082839
023121
1107107
2946107
08895107
0107519
1313442
2910432
32496428
08495428
03233764
110233367
231493291
082753291
047364
1308320
22996314
08825314
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 473 to 278 computations (41.2% saved)

preprocess84.0ms (0.9%)

Compiler

Compiled 404 to 178 computations (55.9% saved)

end0.0ms (0%)

Profiling

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