Details

Time bar (total: 8.0s)

analyze5.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (13.5%)

Results
1.1s8256×body256valid
1.0ms12×body256invalid
Bogosity

preprocess104.0ms (1.3%)

Algorithm
egg-herbie
Rules
2108×rational.json-simplify-35
850×rational.json-simplify-51
848×rational.json-simplify-2
800×rational.json-simplify-1
754×rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
11933
22933
35933
414033
541033
669033
7150333
8284633
9483833
10735133
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify100.0ms (1.3%)

Algorithm
egg-herbie
Rules
2108×rational.json-simplify-35
850×rational.json-simplify-51
848×rational.json-simplify-2
800×rational.json-simplify-1
754×rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
11933
22933
35933
414033
541033
669033
7150333
8284633
9483833
10735133
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite89.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1398×rational.json-1
1398×rational.json-2
1398×rational.json-4
1398×rational.json-3
1390×exponential.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
17769
219269
343569
4103869
5385469
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))))
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simplify104.0ms (1.3%)

Algorithm
egg-herbie
Rules
1012×rational.json-simplify-35
990×rational.json-simplify-44
930×rational.json-simplify-41
922×rational.json-simplify-51
906×rational.json-simplify-47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02774959
16304729
215634495
354774275
Stop Event
node limit
Counts
141 → 206
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
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(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
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(sqrt.f64 -1)
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(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
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(+.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))))
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
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(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
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(*.f64 (*.f64 2 (/.f64 -1 (-.f64 -1 x))) (*.f64 (-.f64 1 x) 1/2))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) -1)
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(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) (/.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (/.f64 2 (+.f64 1 x)) (*.f64 (-.f64 1 x) 1/2))
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))))
(*.f64 (/.f64 (/.f64 -1/2 (-.f64 -1 x)) 2) (*.f64 (-.f64 1 x) 4))
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(*.f64 (/.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 x))) (/.f64 -1 (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (+.f64 1 x))
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) 4)) 4)
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 x (+.f64 x -2)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 2 (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x))))) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4)
(*.f64 (/.f64 1 (*.f64 (+.f64 1 x) 8)) (*.f64 (-.f64 1 x) 8))
(*.f64 (/.f64 1 (*.f64 2 (-.f64 -1 x))) (+.f64 x (+.f64 x -2)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))
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(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
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(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4)
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))
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(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16)
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))) 16)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
Outputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 (+.f64 (pow.f64 x 3) x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (*.f64 x -1))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 x -1) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (+.f64 (+.f64 (*.f64 x -1) (*.f64 (pow.f64 x 2) 1/2)) (*.f64 (pow.f64 x 3) -1/2)))
(+.f64 1 (+.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 3) -1/2))))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (+.f64 (*.f64 (pow.f64 x 3) -1/2) (-.f64 1 x)))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) 1))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -2) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/2 (/.f64 (/.f64 5 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 (/.f64 5 (sqrt.f64 -1)) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 5 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 5 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 1 x) (-.f64 -1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))))
(*.f64 (/.f64 1/2 (+.f64 1 x)) (+.f64 (-.f64 1 x) (-.f64 1 x)))
(*.f64 2 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))))
(*.f64 -2 (*.f64 (+.f64 x -1) (/.f64 -1/2 (-.f64 -1 x))))
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(-.f64 0 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)) 2))
(-.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(-.f64 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(-.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 -1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (-.f64 1 x) (*.f64 1/2 (/.f64 2 (+.f64 1 x))))
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))))
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 -2 (-.f64 -1 x))))
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x))))))
(*.f64 (+.f64 1 x) (/.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (-.f64 1 x))) (-.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 -1 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (-.f64 (-.f64 2 x) x) (/.f64 -1/2 (-.f64 -1 x)))
(*.f64 (/.f64 1/2 (+.f64 1 x)) (-.f64 (-.f64 2 x) x))
(*.f64 (/.f64 -1/2 (-.f64 -1 x)) (-.f64 (-.f64 2 x) x))
(*.f64 2 (*.f64 (-.f64 1 x) (/.f64 -1/2 (-.f64 -1 x))))
(+.f64 (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))) (*.f64 (-.f64 1 x) (/.f64 1/2 (+.f64 1 x))))
(*.f64 (/.f64 1/2 (+.f64 1 x)) (+.f64 (-.f64 1 x) (-.f64 1 x)))
(*.f64 -2 (*.f64 (+.f64 x -1) (/.f64 -1/2 (-.f64 -1 x))))
(*.f64 4 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) 4)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 4 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) 1/2)
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))))
(*.f64 1/2 (*.f64 (-.f64 1 x) (/.f64 -2 (-.f64 -1 x))))
(*.f64 (*.f64 (-.f64 1 x) 4) (/.f64 (/.f64 -1/2 (-.f64 -1 x)) 2))
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(*.f64 8 (*.f64 (/.f64 1/8 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 8 (*.f64 (-.f64 1 x) (/.f64 -1/8 (-.f64 -1 x))))
(*.f64 (*.f64 (-.f64 1 x) 8) (/.f64 -1/8 (-.f64 -1 x)))
(*.f64 (/.f64 1 (*.f64 2 (-.f64 -1 x))) (+.f64 x (+.f64 x -2)))
(*.f64 (+.f64 x (+.f64 -2 x)) (/.f64 -1/2 (+.f64 1 x)))
(*.f64 (+.f64 -2 (+.f64 x x)) (/.f64 1/2 (-.f64 -1 x)))
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 -2 (+.f64 x x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(neg.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 0)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 1/4)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) 2)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 2)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4) 4)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4)) 8)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))) 16)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 x -1)) (-.f64 1 (*.f64 x -1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 0)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 1/4)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) 4)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)) 8)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4))) 16)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))

eval76.0ms (1%)

Compiler

Compiled 4124 to 3533 computations (14.3% saved)

prune29.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2033206
Fresh000
Picked011
Done000
Total2034207
Error
0b
Counts
207 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
Compiler

Compiled 61 to 50 computations (18% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))
0.0b
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))
0.0b
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))
0.0b
(/.f64 1 (-.f64 -1 x))
Compiler

Compiled 59 to 47 computations (20.3% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))
0.0ms
x
@0
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))
0.0ms
x
@inf
(/.f64 1 (-.f64 -1 x))
0.0ms
x
@0
(/.f64 1 (-.f64 -1 x))
0.0ms
x
@-inf
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))

rewrite105.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1514×rational.json-1
1514×rational.json-2
1514×rational.json-3
1512×rational.json-4
1494×exponential.json-3
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012100
19382
220282
341082
489182
5277782
6664782
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(/.f64 1 (-.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1))))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))
Outputs
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simplify106.0ms (1.3%)

Algorithm
egg-herbie
Rules
1938×rational.json-simplify-35
1130×rational.json-simplify-50
1098×rational.json-simplify-2
910×rational.json-simplify-46
908×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03414759
19454585
226584489
358674465
Stop Event
node limit
Counts
185 → 216
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 x 1) (+.f64 1 x)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 (*.f64 -1 x) 1)))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (/.f64 1 (-.f64 -1 x)) 0)
(+.f64 0 (/.f64 1 (-.f64 -1 x)))
(+.f64 (/.f64 1/2 (-.f64 -1 x)) (/.f64 1/2 (-.f64 -1 x)))
(-.f64 (/.f64 1 (-.f64 -1 x)) 0)
(*.f64 1 (/.f64 1 (-.f64 -1 x)))
(*.f64 -1 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))))
(*.f64 (-.f64 -1 x) (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) 1)
(*.f64 2 (/.f64 1/2 (-.f64 -1 x)))
(*.f64 (*.f64 (-.f64 -1 x) 2) (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))
(*.f64 4 (/.f64 (/.f64 1 (-.f64 -1 x)) 4))
(*.f64 (/.f64 2 (-.f64 -1 x)) 1/2)
(*.f64 (/.f64 4 (-.f64 -1 x)) 1/4)
(*.f64 1/2 (/.f64 2 (-.f64 -1 x)))
(*.f64 (/.f64 1/2 (-.f64 -1 x)) 2)
(*.f64 1/4 (/.f64 4 (-.f64 -1 x)))
(*.f64 (*.f64 (-.f64 -1 x) 1/2) (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 -1 x))
(*.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 1/2))
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) 4) 4)
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))) -1)
(*.f64 (/.f64 1/2 (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (*.f64 (-.f64 -1 x) 2))
(pow.f64 (/.f64 1 (-.f64 -1 x)) 1)
(neg.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 -1 x) (-.f64 -1 x))))
(neg.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0)
(+.f64 0 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(-.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 0)
(/.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))
(/.f64 -1 (/.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 -1 x)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 -1 x) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))
(/.f64 4 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)))
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (-.f64 -1 x) 2))
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) 2)
(/.f64 -2 (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x)))
(/.f64 -2 (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))
(/.f64 -2 (+.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) (/.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(/.f64 (/.f64 2 (-.f64 -1 x)) (/.f64 2 (+.f64 -1 x)))
(/.f64 8 (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))))
(/.f64 8 (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x)))
(/.f64 8 (+.f64 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 4 (-.f64 -1 x))) 4)
(/.f64 (*.f64 (+.f64 -1 x) 4) (*.f64 (-.f64 -1 x) 4))
(/.f64 -4 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x)) (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x))))
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))))
(/.f64 (/.f64 4 (-.f64 -1 x)) (+.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))
(/.f64 1/2 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x))))
(/.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 -1 x) 8) (*.f64 (-.f64 -1 x) 8))
(/.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)))))
(/.f64 16 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x)) (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8) 8)
(/.f64 (*.f64 (+.f64 -1 x) -2) (+.f64 2 (+.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (*.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (+.f64 (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 1/2)
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (*.f64 (-.f64 -1 x) 1/2))
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 2)))
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) 8)) (*.f64 2 (*.f64 (-.f64 -1 x) 8)))
(/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 (+.f64 1 x) 4))
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) 8)
(/.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) -1)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 8)) (neg.f64 (*.f64 (-.f64 -1 x) 8)))
(/.f64 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)) 1/4)
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (-.f64 -1 x) 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (-.f64 0 (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (*.f64 (-.f64 -1 x) 2))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 -1 x) 4))))
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) (/.f64 (+.f64 -1 x) (+.f64 1 x))) -2)
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (*.f64 (+.f64 2 (+.f64 x x)) 4))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (neg.f64 (*.f64 (+.f64 -1 x) -2))) (*.f64 (-.f64 -1 x) 4))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8))) 32)
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 (-.f64 -1 x) 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 -1 x) 4))))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 x))) (-.f64 0 (/.f64 2 (+.f64 -1 x))))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (neg.f64 (*.f64 (+.f64 1 x) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2))) (+.f64 2 (+.f64 x x)))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 x))) (-.f64 0 (/.f64 1 (+.f64 -1 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) (-.f64 0 (*.f64 (-.f64 -1 x) 1/2)))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(neg.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 1/4)
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) 2)
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 2)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8))) 32)
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)
(+.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(-.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) 2)
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8))) 32)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
Outputs
-1
(-.f64 x 1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 x (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 x (neg.f64 (pow.f64 x 2))))
(+.f64 x (-.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 -1 (pow.f64 x 2)) 1))
(+.f64 -1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 -1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3))))
(+.f64 x (+.f64 (pow.f64 x 3) (-.f64 -1 (pow.f64 x 2))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
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(/.f64 8 (+.f64 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 4 (-.f64 -1 x))) 4)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 x) 4) (*.f64 (-.f64 -1 x) 4))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 -4 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x)) (/.f64 (*.f64 (-.f64 -1 x) 2) (-.f64 1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 -4 (+.f64 (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))) (neg.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 4 (-.f64 -1 x)) (+.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 1/2 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (-.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x))))
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x)))))
(/.f64 (-.f64 -1 x) (*.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))
(/.f64 (*.f64 (+.f64 -1 x) 8) (*.f64 (-.f64 -1 x) 8))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 16 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x))) (*.f64 2 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 16 (+.f64 (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x)) (/.f64 (*.f64 (-.f64 -1 x) 8) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8) 8)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 x) -2) (+.f64 2 (+.f64 x x)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (*.f64 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))) (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 -1 x)) (+.f64 (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x)))) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (+.f64 -1 x))))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))))
(*.f64 (/.f64 2 (+.f64 -1 x)) (/.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) (/.f64 2 (+.f64 -1 x))))
(/.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 1/2)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (*.f64 (-.f64 -1 x) 1/2))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) 8)) (*.f64 2 (*.f64 (-.f64 -1 x) 8)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) 16)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 (+.f64 1 x) 4))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 (-.f64 -1 x) 1/2) (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) 8)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) -1)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 8)) (neg.f64 (*.f64 (-.f64 -1 x) 8)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)) 1/4)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (-.f64 -1 x) 4)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))) (-.f64 0 (*.f64 (-.f64 -1 x) (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (+.f64 -1 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (-.f64 -1 x)) (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x))))
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x)))))
(/.f64 (-.f64 -1 x) (*.f64 (/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) (+.f64 -1 x))) (-.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (*.f64 (-.f64 -1 x) 2))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4)) (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 2 (neg.f64 (*.f64 (-.f64 -1 x) 4))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)) (/.f64 (+.f64 -1 x) (+.f64 1 x))) -2)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x)) (/.f64 (*.f64 (+.f64 -1 x) 8) (-.f64 -1 x))) 16)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2)) (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (*.f64 (+.f64 2 (+.f64 x x)) 4))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2)) (neg.f64 (*.f64 (+.f64 -1 x) -2))) (*.f64 (-.f64 -1 x) 4))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8)) (*.f64 2 (*.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 8))) 32)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (*.f64 (-.f64 -1 x) 4))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) 4))) (-.f64 0 (neg.f64 (*.f64 (-.f64 -1 x) 4))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 2 (-.f64 -1 x))) (-.f64 0 (/.f64 2 (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 x) -2))) (neg.f64 (*.f64 (+.f64 1 x) 4)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 -1 x) -2))) (+.f64 2 (+.f64 x x)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 1 (-.f64 -1 x))) (-.f64 0 (/.f64 1 (+.f64 -1 x))))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) (-.f64 0 (*.f64 (-.f64 -1 x) 1/2)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(neg.f64 (/.f64 (+.f64 -1 x) (+.f64 1 x)))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(-.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 4 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 1/2)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 1/4)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4))
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1/2) 2)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2) 2)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 4) 4)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8) 8)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) 16)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8)) (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 8))) 32)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(atan.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(+.f64 0 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(-.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 1/4)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) 2)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 4) 4)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8) 8)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) 16)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 8))) 32)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 149 to 111 computations (25.5% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
0.0ms
x
@inf
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
0.0ms
x
@0
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
0.0ms
x
@0
(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0ms
x
@inf
(/.f64 (+.f64 1 x) (-.f64 1 x))

rewrite81.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1588×exponential.json-3
1588×rational.json-1
1588×rational.json-2
1588×rational.json-4
1588×rational.json-3
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
011129
196129
2292129
386781
4383981
Stop Event
node limit
Counts
3 → 133
Calls
Call 1
Inputs
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
Outputs
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(-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))))))

simplify99.0ms (1.2%)

Algorithm
egg-herbie
Rules
1238×rational.json-simplify-2
1086×rational.json-simplify-35
964×rational.json-simplify-61
928×rational.json-simplify-50
910×rational.json-simplify-44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03114699
110834645
248504561
Stop Event
node limit
Counts
169 → 220
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 1 (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -12 (pow.f64 x 3)) (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
1
(-.f64 1 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 1 x) (+.f64 x -1))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(-.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 x (+.f64 x 2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2))
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))
(*.f64 2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 1 x) 4) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) 1/2)
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) -1)
(*.f64 (/.f64 1/2 (-.f64 1 x)) (+.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x))
(*.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (+.f64 x -2))))
(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) 2)
(*.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2) (+.f64 x (+.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 (+.f64 1 x) 4))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (*.f64 (+.f64 1 x) -2))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(+.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)
(+.f64 0 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(-.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)
(/.f64 1 (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))
(/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 x) 2) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (*.f64 (+.f64 1 x) (+.f64 x (+.f64 x 2))) (-.f64 1 x)))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(/.f64 (+.f64 x -1) (/.f64 (neg.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 1 x)))
(/.f64 2 (/.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 x (+.f64 x 2))) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 4 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 2)
(/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) 4)
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 2 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4)) 8)
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x)))) 4)
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 1)
(fabs.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 x -1) (+.f64 1 x))))
(-.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 0)
(-.f64 0 (/.f64 (+.f64 x -1) (+.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (-.f64 1 x) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 1 x) (/.f64 1 (/.f64 1 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(/.f64 -1 (*.f64 (-.f64 -1 x) (/.f64 -1 (+.f64 x -1))))
(/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))) 2)
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (*.f64 (-.f64 1 x) 2) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 x) 2) (/.f64 2 (/.f64 1 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 x) (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 -1 (+.f64 x -1)))
(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (+.f64 x -1) (/.f64 -1 (/.f64 1 (+.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 x) 4) (*.f64 (+.f64 1 x) 4))
(/.f64 (*.f64 (+.f64 1 x) 4) (/.f64 (*.f64 (-.f64 1 x) 4) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 4 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 4))
(/.f64 4 (/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 4 (/.f64 (*.f64 (+.f64 1 x) 4) (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4) 4)
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (*.f64 2 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) (/.f64 2 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (+.f64 x (+.f64 x -2)) (*.f64 (+.f64 1 x) -2))
(/.f64 (*.f64 (+.f64 1 x) (/.f64 (-.f64 1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
(/.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) -1)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4)))
(/.f64 (*.f64 2 (+.f64 x (+.f64 x -2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) 8)
(/.f64 (*.f64 2 (/.f64 (+.f64 x -1) (+.f64 1 x))) -2)
(/.f64 -2 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x -1)))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) 4)
(/.f64 (/.f64 1/2 (+.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 1 x) -2))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (-.f64 1 x) 4))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4))))
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))
(/.f64 (/.f64 1 (/.f64 -1 (+.f64 x -1))) (+.f64 1 x))
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 x -1))) (-.f64 -1 x))
(/.f64 (/.f64 2 (/.f64 -1 (+.f64 x -1))) (+.f64 x (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 x (+.f64 x -2))) (neg.f64 (*.f64 (+.f64 1 x) -2)))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 x (+.f64 x 2))) 1/2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 1/2)
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 x) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 2) x)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 1 (*.f64 2 x)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2 x)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (pow.f64 x 2) x)) (*.f64 2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) -1)))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))) -1)))
(-.f64 -1 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -4 x))
(+.f64 1 (*.f64 x -4))
(+.f64 1 (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 x -4) (*.f64 (pow.f64 x 2) 8)))
(+.f64 1 (+.f64 (*.f64 -12 (pow.f64 x 3)) (+.f64 (*.f64 -4 x) (*.f64 8 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 x -4) (+.f64 (*.f64 (pow.f64 x 2) 8) (*.f64 (pow.f64 x 3) -12))))
(+.f64 (+.f64 (*.f64 x -4) (*.f64 (pow.f64 x 2) 8)) (-.f64 (*.f64 (pow.f64 x 3) -12) -1))
(+.f64 (*.f64 (pow.f64 x 2) 8) (+.f64 (+.f64 1 (*.f64 x -4)) (*.f64 (pow.f64 x 3) -12)))
1
(-.f64 1 (*.f64 4 (/.f64 1 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 4))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (*.f64 (/.f64 1 x) 4)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 12))))
1
(-.f64 1 (*.f64 4 (/.f64 1 x)))
(-.f64 1 (*.f64 (/.f64 1 x) 4))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (*.f64 4 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (*.f64 (/.f64 1 x) 4)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 1) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 8) (+.f64 (*.f64 (/.f64 1 x) 4) (*.f64 (/.f64 1 (pow.f64 x 3)) 12))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 x -2) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 x -2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) -2)) (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 -2 (+.f64 (pow.f64 x 3) x)) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 1 x) (+.f64 x -1))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 0)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 -1 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (+.f64 x (+.f64 x 2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2))
(*.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1/2 (+.f64 x (+.f64 2 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 2 (+.f64 x x)) 1/2))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 1/2 (+.f64 2 (+.f64 x x))))
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x))
(*.f64 2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 1 x) 4) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(*.f64 (+.f64 1 x) (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 x)) 4)))
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 4 (*.f64 (+.f64 1 x) (/.f64 1/4 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))) 1/2)
(*.f64 (+.f64 1 x) (*.f64 (/.f64 2 (-.f64 1 x)) 1/2))
(*.f64 (+.f64 1 x) (*.f64 1/2 (/.f64 2 (-.f64 1 x))))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (/.f64 1 (+.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1/2 (-.f64 1 x)) (+.f64 x (+.f64 x 2)))
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (/.f64 1 (+.f64 x -1)))
(*.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(*.f64 (+.f64 1 x) (*.f64 (/.f64 2 (-.f64 1 x)) 1/2))
(*.f64 (+.f64 1 x) (*.f64 1/2 (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 x (+.f64 x -2))))
(*.f64 (+.f64 1 x) (*.f64 -2 (/.f64 1 (+.f64 x (+.f64 x -2)))))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (+.f64 1 x)))
(*.f64 -2 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 x (+.f64 x -2)))))
(*.f64 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))) 2)
(*.f64 (+.f64 x (+.f64 2 x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 2 (+.f64 x x)) (/.f64 1/2 (-.f64 1 x)))
(*.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 1/2) (+.f64 x (+.f64 x 2)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 1/2 (+.f64 x (+.f64 2 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (+.f64 2 (+.f64 x x)) 1/2))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 1/2 (+.f64 2 (+.f64 x x))))
(*.f64 (/.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 (+.f64 1 x) 4))
(*.f64 (+.f64 1 x) (*.f64 4 (/.f64 (/.f64 1 (-.f64 1 x)) 4)))
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 4 (*.f64 (+.f64 1 x) (/.f64 1/4 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (*.f64 (+.f64 1 x) -2))
(*.f64 (+.f64 1 x) (*.f64 -2 (/.f64 1 (+.f64 x (+.f64 x -2)))))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x (+.f64 x -2))) (+.f64 1 x)))
(*.f64 -2 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 x (+.f64 x -2)))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 0 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(-.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 0)
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))) (-.f64 1 x)))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (-.f64 1 x))))
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(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 2 (+.f64 x (+.f64 x -2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4)) 8)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 2 (/.f64 (+.f64 x -1) (+.f64 1 x))) -2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 -2 (+.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 x -1))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 -2 (/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 -2 (neg.f64 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x)))))
(/.f64 2 (*.f64 (+.f64 1 x) (/.f64 2 (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 4))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)) (/.f64 -1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) 4) (+.f64 1 x)) 4)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 1/2 (+.f64 1 x)) (/.f64 1/2 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 1/2 (*.f64 (+.f64 1 x) (/.f64 1/2 (-.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 1 x) -2) (/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 1 x) -2))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 x) 4)) (*.f64 2 (*.f64 (-.f64 1 x) 4))) (+.f64 (*.f64 2 (*.f64 (+.f64 1 x) 4)) (*.f64 2 (*.f64 (+.f64 1 x) 4))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (+.f64 (neg.f64 (*.f64 (-.f64 1 x) 2)) (neg.f64 (*.f64 (-.f64 1 x) 2))) (*.f64 2 (*.f64 (+.f64 1 x) -2)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 1 (/.f64 -1 (+.f64 x -1))) (+.f64 1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 -1 (/.f64 -1 (+.f64 x -1))) (-.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 2 (/.f64 -1 (+.f64 x -1))) (+.f64 x (+.f64 x 2)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (+.f64 x (+.f64 x -2))) (neg.f64 (*.f64 (+.f64 1 x) -2)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) 4) (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 x (+.f64 x 2))) 1/2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) (/.f64 2 (+.f64 1 x)))) 1/2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (*.f64 (-.f64 1 x) 2)) (/.f64 1/2 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 1 (+.f64 1 x))) (-.f64 1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (*.f64 (-.f64 1 x) 4)) (neg.f64 (*.f64 (+.f64 1 x) 4)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 x) 2))) (+.f64 x (+.f64 x 2)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 x -1)))) (/.f64 (+.f64 x -1) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(neg.f64 (/.f64 (+.f64 x -1) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(/.f64 (+.f64 x -1) (-.f64 -1 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 1 x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(atan.f64 (-.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (-.f64 1 x))
0.0ms
x
@inf
(atan.f64 (-.f64 1 x))

rewrite239.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
2300×rational.json-simplify-35
1980×rational.json-simplify-2
1484×rational.json-simplify-1
1092×exponential.json-3
1092×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
15311
212111
322511
440111
584111
6204611
7343811
8414711
9511611
10578011
11590411
12603411
13677011
14741311
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))))

simplify865.0ms (10.8%)

Algorithm
egg-herbie
Rules
6302×rational.json-simplify-51
3690×rational.json-simplify-35
1352×rational.json-simplify-49
1250×rational.json-simplify-2
984×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062527
1130465
2426465
31187341
41946341
52775341
63199341
73286341
83345341
93383341
103420341
113457341
123494341
133531341
143568341
153605341
163642341
173679341
183716341
194623341
204906341
215003341
225096341
235187341
245187341
255421341
265421341
275512341
285603341
295694341
305785341
315876341
325967341
336058341
346149341
356240341
366331341
Stop Event
node limit
Counts
31 → 30
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(+.f64 0 (atan.f64 (-.f64 1 x)))
(+.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2))
(-.f64 (atan.f64 (-.f64 1 x)) 0)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2))
(*.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2)
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8)
(*.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2)
(*.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4)
(/.f64 (atan.f64 (-.f64 1 x)) 1)
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2)
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4)
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512)
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
Outputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) (*.f64 (atan.f64 (-.f64 1 x)) 1/2))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(-.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 1/2))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 4 (*.f64 (atan.f64 (-.f64 1 x)) 1/4))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 1/2)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 1/4)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 1/2 (*.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 1/8)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 1/4 (*.f64 (atan.f64 (-.f64 1 x)) 4))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/2) 2)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 1/8 (*.f64 (atan.f64 (-.f64 1 x)) 8))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (*.f64 (atan.f64 (-.f64 1 x)) 1/4) 4)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 2) 2)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 4) 4)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 (atan.f64 (-.f64 1 x)) 8) 8)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)) 16)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))) 32)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))) 64)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))) 128)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) 256)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (-.f64 1 x)) 8))))))) 512)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))

eval252.0ms (3.2%)

Compiler

Compiled 14389 to 11825 computations (17.8% saved)

prune154.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5872589
Fresh000
Picked011
Done123
Total5885593
Error
0b
Counts
593 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
0.7b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))))
Compiler

Compiled 59 to 51 computations (13.6% saved)

localize111.0ms (1.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))
0.0b
(sqrt.f64 (*.f64 -1 (+.f64 x -1)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (*.f64 -1 (+.f64 x -1)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 -1 (+.f64 x -1)))
0.0ms
x
@0
(sqrt.f64 (*.f64 -1 (+.f64 x -1)))
0.0ms
x
@0
(atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))
0.0ms
x
@-inf
(atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))

rewrite190.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1796×rational.json-simplify-35
1396×rational.json-1
1368×exponential.json-3
1368×rational.json-2
1368×rational.json-4
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0938
16234
213234
325626
449226
5111726
6280526
7467226
8549026
9685126
10783726
11798826
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -1 (+.f64 x -1)))
(atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))))

simplify1.7s (21.3%)

Algorithm
egg-herbie
Rules
5118×rational.json-simplify-35
1522×rational.json-simplify-1
1416×rational.json-simplify-2
1374×rational.json-simplify-49
1128×rational.json-simplify-41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01201196
12651102
27991102
313991102
42186950
53403950
63542950
73644950
83712950
93772950
103830950
114408950
124488950
134567950
144622950
154677950
164731950
174785950
185727950
195971950
205975950
215975950
226269950
236347950
246425950
256503950
266581950
276659950
286737950
296815950
306893950
316971950
327049950
337127950
347205950
357283950
367361950
377361950
387361950
397439950
407517950
417595950
427673950
437751950
447829950
457907950
467985950
Stop Event
node limit
Counts
68 → 71
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(-.f64 (sqrt.f64 (-.f64 1 x)) 0)
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
Outputs
(pow.f64 (sqrt.f64 -1) 2)
1
(+.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) 1)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 4))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) 1)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) 1)) 1)))
(+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) 1)))
(+.f64 (*.f64 1/2 x) (+.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1) (*.f64 1/16 (pow.f64 x 3))))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x 1))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) 0)
(sqrt.f64 (-.f64 1 x))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(-.f64 (sqrt.f64 (-.f64 1 x)) 0)
(sqrt.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (-.f64 1 x))
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))
(sqrt.f64 (-.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (*.f64 (+.f64 x -1) -1)))
(atan.f64 (sqrt.f64 (neg.f64 (+.f64 -1 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))
0.0b
(/.f64 2 (+.f64 -1 x))
0.0b
(*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))
0.0b
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))
Compiler

Compiled 75 to 61 computations (18.7% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 2 (+.f64 -1 x))
0.0ms
x
@0
(*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))
0.0ms
x
@inf
(*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))
0.0ms
x
@0
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))
0.0ms
x
@-inf
(/.f64 2 (+.f64 -1 x))

rewrite95.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1550×rational.json-1
1550×rational.json-2
1550×rational.json-4
1550×rational.json-3
1540×exponential.json-3
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012104
187104
223080
369780
4237380
5571680
Stop Event
node limit
Counts
4 → 156
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x))))
(*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))
(/.f64 2 (+.f64 -1 x))
(sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 -1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x -2)) (/.f64 1/2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) 4) (/.f64 1 (*.f64 (-.f64 -1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 -1 x)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -1 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 2 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x 1)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 -1 x) 4)) (*.f64 (+.f64 -1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (/.f64 4 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -2 (-.f64 1 x))) (/.f64 2 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 -2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)))))

simplify237.0ms (3%)

Algorithm
egg-herbie
Rules
1124×rational.json-simplify-1
996×rational.json-simplify-43
886×rational.json-simplify-35
846×rational.json-simplify-50
840×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03785612
111225414
232715346
355375324
Stop Event
node limit
Counts
204 → 272
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 4 x))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x)))
(+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))))
-2
(-.f64 (*.f64 -2 x) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 2)
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(pow.f64 (sqrt.f64 -1) 2)
(+.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(-.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)
(*.f64 2 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2))
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))))
(*.f64 (+.f64 -1 x) (/.f64 -1 (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 1/2 (-.f64 -1 x)))
(*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/2))
(*.f64 (*.f64 (+.f64 -1 x) 4) (/.f64 1 (*.f64 (-.f64 -1 x) 4)))
(*.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))
(*.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/4))
(*.f64 (/.f64 4 (-.f64 -1 x)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)))
(*.f64 (-.f64 1 x) (/.f64 -1 (-.f64 -1 x)))
(*.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -1 (/.f64 -2 (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 -1 x) 1/2) (/.f64 2 (-.f64 -1 x)))
(*.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1/2)
(*.f64 (/.f64 -1 (+.f64 x 1)) (+.f64 -1 x))
(*.f64 1/2 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (/.f64 1/2 (-.f64 -1 x)) (+.f64 x (+.f64 x -2)))
(*.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) 2)
(*.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))) -1)
(*.f64 (/.f64 1 (*.f64 (-.f64 -1 x) 4)) (*.f64 (+.f64 -1 x) 4))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2) 2)
(*.f64 (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (/.f64 4 (-.f64 -1 x)))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(*.f64 (/.f64 -1 (/.f64 -2 (-.f64 1 x))) (/.f64 2 (+.f64 x 1)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(neg.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0)
(+.f64 0 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(+.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (/.f64 (+.f64 x 1) (-.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 0)
(-.f64 0 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 2 (+.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x))))))
(/.f64 -1 (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))))
(/.f64 (-.f64 -1 x) (*.f64 (+.f64 -1 x) 1/2))
(/.f64 (-.f64 -1 x) (+.f64 (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))
(/.f64 (-.f64 -1 x) (+.f64 (*.f64 (+.f64 -1 x) 1/4) (*.f64 (+.f64 -1 x) 1/4)))
(/.f64 (-.f64 -1 x) (+.f64 (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4))))
(/.f64 (-.f64 -1 x) (/.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) -1))
(/.f64 (+.f64 -1 x) (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))))
(/.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 -1 (+.f64 x 1)))
(/.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 (/.f64 (/.f64 2 (-.f64 -1 x)) -2) -1))
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(/.f64 1 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(/.f64 1 (/.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 2 (/.f64 -2 (-.f64 1 x)))))
(/.f64 1 (+.f64 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)) (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4))))
(/.f64 4 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(/.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(/.f64 (+.f64 x (+.f64 x -2)) (+.f64 (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))) (*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))))
(/.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x)))
(/.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) (*.f64 4 (/.f64 1/2 (-.f64 -1 x))))
(/.f64 8 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4))
(/.f64 (*.f64 2 (-.f64 -1 x)) (+.f64 -1 x))
(/.f64 (*.f64 2 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 4)
(/.f64 (+.f64 x 1) (*.f64 (+.f64 -1 x) -1/2))
(/.f64 (+.f64 x 1) (neg.f64 (*.f64 (+.f64 -1 x) 1/2)))
(/.f64 (+.f64 x 1) (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))))
(/.f64 -2 (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2)))
(/.f64 -2 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(/.f64 -2 (+.f64 (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x))) (/.f64 (-.f64 1 x) (*.f64 2 (-.f64 -1 x)))))
(/.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) (/.f64 -2 (*.f64 2 (-.f64 -1 x))))
(/.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) (-.f64 0 (/.f64 -1 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (*.f64 (+.f64 -1 x) 1/4))
(/.f64 (*.f64 (-.f64 -1 x) 1/2) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)))
(/.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1/2)
(/.f64 16 (*.f64 2 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4)))
(/.f64 (*.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4) 8)
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) 4) (/.f64 4 (-.f64 -1 x)))
(/.f64 -4 (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))))
(/.f64 -4 (+.f64 (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2)) (*.f64 (/.f64 2 (+.f64 x 1)) (*.f64 (+.f64 -1 x) 1/2))))
(/.f64 -4 (-.f64 0 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(/.f64 (*.f64 2 (neg.f64 (/.f64 -2 (-.f64 1 x)))) (+.f64 (/.f64 -2 (*.f64 2 (-.f64 -1 x))) (/.f64 -2 (*.f64 2 (-.f64 -1 x)))))
(/.f64 (*.f64 (-.f64 -1 x) 4) (+.f64 x (+.f64 x -2)))
(/.f64 (+.f64 x (+.f64 2 x)) (-.f64 1 x))
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (neg.f64 (*.f64 (+.f64 -1 x) 1/2)) (neg.f64 (*.f64 (+.f64 -1 x) 1/2))))
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (*.f64 (+.f64 -1 x) -1/2) (*.f64 (+.f64 -1 x) -1/2)))
(/.f64 (+.f64 x (+.f64 2 x)) (+.f64 (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 -2 (*.f64 2 (/.f64 -2 (-.f64 1 x))))))
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1)) -1)
(/.f64 (*.f64 2 (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4) (+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(/.f64 1/2 (/.f64 (+.f64 -1 x) (*.f64 (-.f64 -1 x) 4)))
(/.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1/2 (-.f64 -1 x)))
(/.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x 1)) 1/2))
(/.f64 (*.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (*.f64 2 (/.f64 4 (-.f64 -1 x))))
(/.f64 -8 (+.f64 (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1))) (*.f64 (+.f64 -1 x) (/.f64 2 (+.f64 x 1)))))
(/.f64 -8 (-.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 4)))
(/.f64 (/.f64 (*.f64 2 (-.f64 -1 x)) 1/4) (*.f64 (+.f64 -1 x) 4))
(/.f64 (*.f64 2 (+.f64 x (+.f64 2 x))) (*.f64 2 (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x (+.f64 2 x))) -2)
(/.f64 (*.f64 2 (*.f64 (*.f64 4 (/.f64 (+.f64 x 1) (-.f64 1 x))) 4)) 16)
(/.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2)))
(/.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 2 (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)
(/.f64 (/.f64 (-.f64 -1 x) (+.f64 x (+.f64 x -2))) 1/4)
(/.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 4 (-.f64 -1 x)))
(/.f64 (/.f64 4 (-.f64 1 x)) (/.f64 2 (+.f64 x 1)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (-.f64 1 x))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 x) 4)) (neg.f64 (+.f64 x (+.f64 x -2))))
(/.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (/.f64 2 (+.f64 x 1)))
(/.f64 (+.f64 (/.f64 -4 (-.f64 1 x)) (/.f64 -4 (-.f64 1 x))) (/.f64 4 (-.f64 -1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 -1 x) (-.f64 1 x)) (/.f64 (-.f64 -1 x) (-.f64 1 x))) -1)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 -1 x))) (neg.f64 (*.f64 2 (-.f64 -1 x)))) (*.f64 2 (-.f64 1 x)))
(/.f64 (+.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x)))) (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (*.f64 2 (/.f64 2 (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x))) (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (*.f64 (*.f64 (+.f64 -1 x) 1/2) (+.f64 -1 x)))
(/.f64 (+.f64 (/.f64 -8 (-.f64 1 x)) (/.f64 -8 (-.f64 1 x))) (*.f64 2 (/.f64 4 (-.f64 -1 x))))
(/.f64 (+.f64 (/.f64 4 (-.f64 1 x)) (/.f64 4 (-.f64 1 x))) (*.f64 2 (/.f64 2 (+.f64 x 1))))
(/.f64 (neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)) (neg.f64 (/.f64 4 (-.f64 -1 x))))
(/.f64 (neg.f64 (/.f64 -1 (-.f64 1 x))) (-.f64 0 (/.f64 1/2 (-.f64 -1 x))))
(/.f64 (neg.f64 (/.f64 -4 (-.f64 1 x))) (/.f64 2 (+.f64 x 1)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))))) (/.f64 2 (-.f64 -1 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 2 (-.f64 -1 x)))) (+.f64 -1 x))
(/.f64 (neg.f64 (/.f64 (+.f64 -1 x) (/.f64 2 (-.f64 -1 x)))) (-.f64 0 (*.f64 (+.f64 -1 x) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))))
(/.f64 (neg.f64 (/.f64 -8 (-.f64 1 x))) (neg.f64 (/.f64 4 (-.f64 -1 x))))
(/.f64 (neg.f64 (/.f64 4 (-.f64 1 x))) (/.f64 2 (-.f64 -1 x)))
(pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
(neg.f64 (neg.f64 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(neg.f64 (*.f64 (/.f64 -2 (-.f64 1 x)) (+.f64 x 1)))
(+.f64 (/.f64 -2 (-.f64 1 x)) 0)
(+.f64 0 (/.f64 -2 (-.f64 1 x)))
(+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(-.f64 (/.f64 -2 (-.f64 1 x)) 0)
(-.f64 0 (neg.f64 (/.f64 -2 (-.f64 1 x))))
(*.f64 2 (/.f64 -1 (-.f64 1 x)))
(*.f64 -1 (neg.f64 (/.f64 -2 (-.f64 1 x))))
(*.f64 (/.f64 -2 (-.f64 1 x)) 1)
(*.f64 1 (/.f64 -2 (-.f64 1 x)))
(*.f64 (*.f64 2 (/.f64 -2 (-.f64 1 x))) 1/2)
(*.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) -1)
(*.f64 1/2 (*.f64 2 (/.f64 -2 (-.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 1 x)) 2)
(pow.f64 (/.f64 -2 (-.f64 1 x)) 1)
(neg.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 0)
(*.f64 2 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2)
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
Outputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) 1)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 (pow.f64 x 3) x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(+.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (+.f64 1 (*.f64 2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (*.f64 2 (/.f64 1 x)) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 -1 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
2
(+.f64 2 (*.f64 4 x))
(+.f64 2 (*.f64 x 4))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x)))
(+.f64 2 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 2) 4)))
(+.f64 2 (*.f64 4 (+.f64 (pow.f64 x 2) x)))
(+.f64 2 (*.f64 4 (+.f64 x (pow.f64 x 2))))
(+.f64 (*.f64 4 (pow.f64 x 3)) (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 4 x))))
(+.f64 (*.f64 (pow.f64 x 2) 4) (+.f64 (+.f64 2 (*.f64 x 4)) (*.f64 (pow.f64 x 3) 4)))
(+.f64 2 (+.f64 (*.f64 4 (+.f64 (pow.f64 x 2) x)) (*.f64 (pow.f64 x 3) 4)))
(+.f64 2 (*.f64 4 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 (/.f64 1 x) 4)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
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(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 x))))
(neg.f64 (+.f64 2 (*.f64 (/.f64 1 x) 4)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
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(neg.f64 (+.f64 2 (*.f64 4 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
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-2
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(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 2))) 2)
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(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))) 2)
(/.f64 2 x)
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(/.f64 2 x)
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(pow.f64 (sqrt.f64 -1) 2)
1
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(sqrt.f64 -1)
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(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
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(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))
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(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))))))
(+.f64 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
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(+.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))) (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 1 (*.f64 2 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(-.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 0)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 2 (*.f64 (+.f64 -1 x) (/.f64 1/2 (-.f64 -1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 2 (/.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 2))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 -1 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 -1 (+.f64 x 1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 1/2 (-.f64 -1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 2 (-.f64 -1 x)) (*.f64 (+.f64 -1 x) 1/2))
(*.f64 (+.f64 x -1) (*.f64 1/2 (/.f64 -2 (-.f64 x -1))))
(*.f64 1/2 (*.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)))
(*.f64 1/2 (*.f64 (+.f64 x -1) (/.f64 -2 (+.f64 1 x))))
(*.f64 (*.f64 (+.f64 -1 x) 4) (/.f64 1 (*.f64 (-.f64 -1 x) 4)))
(*.f64 (+.f64 x -1) (*.f64 4 (/.f64 1 (*.f64 4 (-.f64 -1 x)))))
(*.f64 4 (*.f64 (/.f64 1/4 (-.f64 -1 x)) (+.f64 x -1)))
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(*.f64 (/.f64 4 (-.f64 -1 x)) (*.f64 (*.f64 (+.f64 -1 x) 1/2) 1/2))
(*.f64 (*.f64 1/2 (+.f64 x -1)) (*.f64 1/2 (/.f64 4 (-.f64 -1 x))))
(*.f64 (+.f64 x -1) (*.f64 (/.f64 4 (-.f64 -1 x)) 1/4))
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(*.f64 (*.f64 1/2 (+.f64 x -1)) (*.f64 1/2 (/.f64 4 (-.f64 -1 x))))
(*.f64 (+.f64 x -1) (*.f64 (/.f64 4 (-.f64 -1 x)) 1/4))
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(*.f64 (/.f64 4 (-.f64 -1 x)) (/.f64 2 (*.f64 (/.f64 -2 (-.f64 1 x)) 4)))
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(*.f64 1/2 (*.f64 (+.f64 x -1) (/.f64 -2 (+.f64 1 x))))
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(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (/.f64 2 (+.f64 x 1)) (/.f64 -2 (-.f64 1 x))) -1)
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(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1/2 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 2) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)))) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4) 4)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) 8)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 4))) 16)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 x 1))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

eval174.0ms (2.2%)

Compiler

Compiled 6230 to 5479 computations (12.1% saved)

prune81.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3412343
Fresh000
Picked011
Done134
Total3426348
Error
0b
Counts
348 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))))
0.7b
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
0.8b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 62 to 54 computations (12.9% saved)

localize5.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (sqrt.f64 (-.f64 1 x)))
0.0b
(sqrt.f64 (-.f64 1 x))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@0
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@0
(atan.f64 (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@inf
(atan.f64 (sqrt.f64 (-.f64 1 x)))

rewrite256.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
2140×rational.json-simplify-2
1558×rational.json-simplify-1
1488×rational.json-simplify-35
1154×exponential.json-3
1154×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
15926
213126
324526
443826
592726
6226426
7370126
8443926
9546426
10615626
11626626
12638826
13714526
14777226
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 1 x))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)))))

simplify1.2s (15.1%)

Algorithm
egg-herbie
Rules
6410×rational.json-simplify-51
3022×rational.json-simplify-35
1434×rational.json-simplify-1
1324×rational.json-simplify-2
1270×rational.json-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111010
1232950
2754950
31340830
42105830
53258830
63368830
73454830
83512830
93562830
103610830
114151830
124217830
134281830
144325830
154369830
164413830
174457830
185310830
195512830
205574830
215626830
225678830
235678830
245864830
255864830
265916830
275968830
286020830
296072830
306124830
316176830
326228830
336280830
346332830
356384830
366436830
Stop Event
node limit
Counts
60 → 70
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (sqrt.f64 (-.f64 1 x)) 0)
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(-.f64 (sqrt.f64 (-.f64 1 x)) 0)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (*.f64 -1/2 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (+.f64 1 (*.f64 -1/2 x)) (*.f64 -1/16 (pow.f64 x 3))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1/16 (pow.f64 x 3)))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) 0)
(sqrt.f64 (-.f64 1 x))
(+.f64 0 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(-.f64 (sqrt.f64 (-.f64 1 x)) 0)
(sqrt.f64 (-.f64 1 x))
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (-.f64 1 x))
(*.f64 4 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 1/4)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 1 x)) 2))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 1/8)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/4 (*.f64 (sqrt.f64 (-.f64 1 x)) 4))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/2) 2)
(sqrt.f64 (-.f64 1 x))
(*.f64 1/8 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))
(sqrt.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1/4) 4)
(sqrt.f64 (-.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 2) 2)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 4) 4)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 8) 8)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)) 16)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))) 32)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))) 64)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8))))) 128)
(sqrt.f64 (-.f64 1 x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) 8)))))) 256)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(+.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 0 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(-.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 0)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 1/2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 1/4)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 1/8)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/4 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/2) 2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1/4) 4)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(*.f64 1/8 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 2) 2)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 4) 4)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8) 8)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)) 16)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))) 32)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))) 64)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8))))) 128)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 8)))))) 256)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))
(pow.f64 (atan.f64 (sqrt.f64 (-.f64 1 x))) 1)
(atan.f64 (sqrt.f64 (+.f64 1 (*.f64 x -1))))
(atan.f64 (sqrt.f64 (+.f64 1 (neg.f64 x))))
(atan.f64 (sqrt.f64 (-.f64 1 x)))

eval19.0ms (0.2%)

Compiler

Compiled 852 to 765 computations (10.2% saved)

prune15.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done055
Total70676
Error
0b
Counts
76 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))))
0.7b
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
0.8b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 62 to 54 computations (12.9% saved)

regimes18.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))))))
Calls

5 calls:

7.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
ErrorSegmentsBranch
0b1x
0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 134 to 110 computations (17.9% saved)

regimes67.0ms (0.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 2 (*.f64 (-.f64 -1 x) (/.f64 2 (+.f64 -1 x)))))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
Calls

5 calls:

54.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
5.0ms
x
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 107 to 89 computations (16.8% saved)

regimes15.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

5.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 79 to 65 computations (17.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.5b remaining (-155.1%)

Threshold costs -0.5b (-155.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 -1 (+.f64 x -1)))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031181
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (*.f64 (-.f64 1 x) (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (+.f64 1 x)))))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 66 to 55 computations (16.7% saved)

soundness112.0ms (1.4%)

Algorithm
egg-herbie
Rules
1012×rational.json-simplify-35
990×rational.json-simplify-44
930×rational.json-simplify-41
922×rational.json-simplify-51
906×rational.json-simplify-47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02774959
16304729
215634495
354774275
Stop Event
node limit
Compiler

Compiled 619 to 496 computations (19.9% saved)

end44.0ms (0.5%)

Compiler

Compiled 62 to 51 computations (17.7% saved)

Profiling

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