Details

Time bar (total: 6.0s)

analyze163.0ms (2.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
28.6%25%62.5%0%0%0%12.5%4
30.8%25%56.2%0%0%0%18.7%5
36%28.1%50%0%0%0%21.9%6
38.8%29.7%46.9%0%0%0%23.4%7
40.2%30.5%45.3%0%0%0%24.2%8
40.7%30.8%44.9%0%0%0%24.2%9
41.2%31.2%44.5%0%0%0%24.2%10
41.4%31.3%44.4%0%0%0%24.2%11
41.5%31.4%44.3%0%0%0%24.3%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.1s (34.8%)

Results
1.1s2766×body1024valid
445.0ms3766×body256valid
387.0ms1430×body512valid
137.0ms294×body2048valid
6.0ms53×body256infinite
0.0ms2×body256unsamplable
Bogosity

preprocess111.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
4×rational_best.json-simplify-1
4×rational_best.json-simplify-19
2×rational_best.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
11737
21937
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 (*.f64 2 x)) -1) (+.f64 (exp.f64 x) -1)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×rational_best.json-simplify-1
4×rational_best.json-simplify-19
2×rational_best.json-simplify-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
11737
21937
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 (*.f64 2 x)) -1) (+.f64 (exp.f64 x) -1)))

eval1.0ms (0%)

Compiler

Compiled 25 to 20 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
42.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.1b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize117.0ms (1.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓0.0b
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓2.6b
(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓2.6b
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0.1%)

Counts
4 → 16
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0ms
x
@0
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0ms
x
@inf
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
0.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0ms
x
@0
(-.f64 (exp.f64 x) 1)

rewrite206.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1206×rational_best.json-simplify-57
598×rational_best.json-simplify-44
594×rational_best.json-2
594×rational_best.json-3
594×rational_best.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01398
110698
234598
3143698
4582898
Stop Event
1×node limit
Counts
4 → 92
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (*.f64 2 x)) 1)
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
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simplify217.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1056×rational_best.json-simplify-80
962×rational_best.json-simplify-24
940×rational_best.json-simplify-78
840×rational_best.json-simplify-49
814×rational_best.json-simplify-94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02183218
14423200
211353200
337043200
473553200
Stop Event
1×node limit
Counts
108 → 146
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) 2) 2) 2)
(/.f64 (-.f64 2 (*.f64 (exp.f64 x) 2)) -2)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 (+.f64 x x)) -1)
(+.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 0)
(+.f64 0 (+.f64 (exp.f64 (+.f64 x x)) -1))
(+.f64 -1 (exp.f64 (+.f64 x x)))
(*.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (+.f64 (exp.f64 (+.f64 x x)) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))))
(*.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)))
(*.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))) (+.f64 (exp.f64 (+.f64 x x)) -1))
(*.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x))))) (*.f64 (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (+.f64 (exp.f64 (+.f64 x x)) -1)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))) (+.f64 (exp.f64 (+.f64 x x)) -1)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1))) (+.f64 (exp.f64 (+.f64 x x)) -1)) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)))
(/.f64 (-.f64 (*.f64 2 (exp.f64 (+.f64 x x))) 2) 2)
(/.f64 (-.f64 2 (*.f64 2 (exp.f64 (+.f64 x x)))) -2)
(pow.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 (+.f64 x x))))
(+.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
(+.f64 0 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(-.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
(-.f64 0 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
(neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 0)
(+.f64 0 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 2)
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) -2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) 4/3)))
(+.f64 (*.f64 (pow.f64 x 3) 4/3) (*.f64 2 (+.f64 x (pow.f64 x 2))))
(+.f64 (*.f64 2 (+.f64 x (pow.f64 x 2))) (*.f64 (pow.f64 x 3) 4/3))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) 4/3)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 3) 4/3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
(+.f64 (*.f64 2 (+.f64 x (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 3) 4/3) (*.f64 (pow.f64 x 4) 2/3)))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)) (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) 2)))) (sqrt.f64 2))))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
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(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))) 2)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))) -2)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))
(sqrt.f64 (/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1)))

eval59.0ms (1%)

Compiler

Compiled 4076 to 2504 computations (38.6% saved)

prune19.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1424146
Fresh000
Picked011
Done000
Total1425147
Error
0.0b
Counts
147 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶21.2b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓42.1b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶20.6b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
▶21.4b
(sqrt.f64 (+.f64 x 2))
▶17.2b
(sqrt.f64 2)
Compiler

Compiled 42 to 36 computations (14.3% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 x 2))
Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 2))
0.0ms
x
@0
(sqrt.f64 (+.f64 x 2))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 2))

rewrite97.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1564×rational_best.json-5
1562×rational_best.json-2
1562×rational_best.json-3
1562×rational_best.json-1
1562×exponential.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
15811
218711
375011
4316911
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))))))))

simplify209.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1208×rational_best.json-simplify-132
1016×rational_best.json-simplify-2
968×rational_best.json-simplify-54
598×rational_best.json-simplify-49
588×rational_best.json-simplify-80
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072467
1120467
2221467
3736467
42700467
56443467
Stop Event
1×node limit
Counts
31 → 38
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 (+.f64 x 2)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(-.f64 (sqrt.f64 (+.f64 x 2)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(/.f64 (sqrt.f64 (+.f64 x 2)) 1)
(/.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8)))))
(+.f64 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8)))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32)))))
(+.f64 (sqrt.f64 (+.f64 x 2)) 0)
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(-.f64 (sqrt.f64 (+.f64 x 2)) 0)
(sqrt.f64 (+.f64 2 x))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(sqrt.f64 (+.f64 2 x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 2 x))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
✓9.6b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
0.0ms
x
@0
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
0.0ms
x
@0
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))

rewrite164.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1038×rational_best.json-simplify-57
528×rational_best.json-5
526×rational_best.json-2
526×rational_best.json-3
526×rational_best.json-simplify-77
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
19354
229654
3119554
4505454
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 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2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x 2) (+.f64 (pow.f64 x 2) (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))))

simplify206.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1350×rational_best.json-simplify-54
876×rational_best.json-simplify-2
804×rational_best.json-simplify-49
716×rational_best.json-simplify-1
688×rational_best.json-simplify-80
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672704
13252684
211022678
336332678
461992678
Stop Event
1×node limit
Counts
78 → 114
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 3))))))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x))))
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 2)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 2) -2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 0)
(-.f64 0 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)
(*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (*.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(/.f64 (+.f64 (+.f64 x 2) (+.f64 (pow.f64 x 2) (+.f64 x 2))) 2)
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 2) -2)
(pow.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)
(neg.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (pow.f64 (sqrt.f64 2) 3))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (sqrt.f64 8))) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))))))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (sqrt.f64 8))) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2)))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (sqrt.f64 8)))))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2)))) (+.f64 (sqrt.f64 2) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (sqrt.f64 8)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (+.f64 (*.f64 1/2 (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8))))))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (*.f64 1/2 (+.f64 (/.f64 1 (sqrt.f64 1/2)) (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))))))
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 1/2) (*.f64 -1 x))
(neg.f64 (*.f64 x (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 1/2)))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (*.f64 x (neg.f64 (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1 x)) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (neg.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 x (neg.f64 (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1 x)) (+.f64 (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (neg.f64 (*.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 x (neg.f64 (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
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(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))) (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (*.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 (+.f64 (+.f64 x 2) (+.f64 (pow.f64 x 2) (+.f64 x 2))) 2)
(/.f64 (+.f64 (+.f64 2 x) (+.f64 2 (+.f64 x (pow.f64 x 2)))) 2)
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 2 x) (+.f64 2 x))) 2)
(/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 x 4))) 2)
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 4 (+.f64 x x))) 2)
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (+.f64 x x) 4)) 2)
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 2) -2)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 (neg.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓0.5b
(/.f64 x (sqrt.f64 2))
Compiler

Compiled 25 to 21 computations (16% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite94.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1912×rational_best.json-2
1912×rational_best.json-3
1912×rational_best.json-1
1910×rational_best.json-4
1896×rational_best.json-5
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
18238
225338
3104138
4408638
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 2) x))))) 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(/.f64 x (sqrt.f64 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (sqrt.f64 2) x)) (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)))))

simplify404.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
858×rational_best.json-simplify-49
826×rational_best.json-simplify-50
826×rational_best.json-simplify-80
818×rational_best.json-simplify-24
802×rational_best.json-simplify-29
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171566
12401550
28351544
329671538
462031538
Stop Event
1×node limit
Counts
60 → 83
Calls
Call 1
Inputs
(sqrt.f64 2)
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 x (sqrt.f64 2)) 0)
(+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))
(+.f64 0 (/.f64 x (sqrt.f64 2)))
(-.f64 (/.f64 x (sqrt.f64 2)) 0)
(*.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))
(*.f64 (/.f64 x (sqrt.f64 2)) 1)
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 1/2 (*.f64 (sqrt.f64 2) x))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) 2)
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) 1))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) 1))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 1 (/.f64 x (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 2) x) 1/2)
(*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) x) 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (+.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 2) x)) (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 1/2) 1/4)
(*.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(pow.f64 (/.f64 x (sqrt.f64 2)) 1)
(-.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 0)
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))
(*.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
(/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(/.f64 (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))) 2)
(pow.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
Outputs
(sqrt.f64 2)
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(*.f64 1/2 (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 x (sqrt.f64 2)) 0)
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))
(/.f64 x (sqrt.f64 2))
(+.f64 0 (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(-.f64 (/.f64 x (sqrt.f64 2)) 0)
(/.f64 x (sqrt.f64 2))
(*.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) 1)
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(*.f64 1/2 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (*.f64 1/2 x))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) 2)
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) 2))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) 1))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 1/2))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) 1))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))) (/.f64 x (sqrt.f64 2))))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 1/2))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 1/2 (*.f64 (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))) (/.f64 x (sqrt.f64 2))))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 2 (/.f64 x (sqrt.f64 2)))) 1/2))
(*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 2 (/.f64 x (sqrt.f64 2))))))
(*.f64 1 (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 2) x) 1/2)
(*.f64 (sqrt.f64 2) (*.f64 1/2 x))
(*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 2) x) 2))
(*.f64 (sqrt.f64 2) (*.f64 1/2 x))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (+.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 1/4 (/.f64 x (sqrt.f64 2)))) (+.f64 (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (+.f64 (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) 1/4))
(*.f64 1/4 (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (+.f64 (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 1 (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 2) x)) (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) (/.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x)))
(*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 2) x)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) x) 1/2) 1/4)
(*.f64 1/4 (/.f64 (*.f64 (sqrt.f64 2) x) 1/2))
(*.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 2 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 1/4 (/.f64 x (sqrt.f64 2)))) (/.f64 2 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/4)) (/.f64 2 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(pow.f64 (/.f64 x (sqrt.f64 2)) 1)
(/.f64 x (sqrt.f64 2))
(-.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 0)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(/.f64 (+.f64 (sqrt.f64 2) (+.f64 (sqrt.f64 2) (/.f64 x (sqrt.f64 2)))) 2)
(/.f64 (+.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (sqrt.f64 2))) 2)
(pow.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) 1)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))

eval580.0ms (9.6%)

Compiler

Compiled 6293 to 5375 computations (14.6% saved)

prune29.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2341235
Fresh000
Picked011
Done044
Total2346240
Error
0.0b
Counts
240 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.2b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶22.0b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
✓42.1b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓20.6b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓21.4b
(sqrt.f64 (+.f64 x 2))
✓17.2b
(sqrt.f64 2)
Compiler

Compiled 58 to 49 computations (15.5% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x 2) (+.f64 x 2))
✓0.0b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
✓0.7b
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
✓9.5b
(sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))
Compiler

Compiled 47 to 36 computations (23.4% saved)

series3.0ms (0.1%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 x 2) (+.f64 x 2))
0.0ms
x
@inf
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
0.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
0.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
0.0ms
x
@inf
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))

rewrite201.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
986×rational_best.json-simplify-57
904×rational_best.json-simplify-78
584×rational_best.json-simplify-43
560×rational_best.json-simplify-44
516×rational_best.json-5
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012104
197104
229970
3125570
4536770
Stop Event
1×node limit
Counts
4 → 148
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (+.f64 x 2) (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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simplify242.0ms (4%)

Algorithm
1×egg-herbie
Rules
1454×rational_best.json-simplify-132
964×rational_best.json-simplify-2
772×rational_best.json-simplify-49
696×rational_best.json-simplify-50
600×rational_best.json-simplify-43
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03754762
17814736
215394718
331254656
470284584
Stop Event
1×node limit
Counts
180 → 207
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
4
(+.f64 4 (*.f64 4 x))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 4 x))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 4 x))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(+.f64 4 (+.f64 (pow.f64 x 2) (*.f64 4 x)))
(+.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 1)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(*.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (neg.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x 2))) (fabs.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2)))))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2)))) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 1)
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(/.f64 (*.f64 2 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) 2)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) 2) -2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (neg.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 x 2))) (neg.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (neg.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (fabs.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))) (fabs.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))
(fabs.f64 (*.f64 (fabs.f64 (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))))))
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (+.f64 x 2)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))))
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(+.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) 0)
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(-.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2))))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) 1)
(neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2)))))
(+.f64 (sqrt.f64 (+.f64 x 2)) 0)
(+.f64 0 (sqrt.f64 (+.f64 x 2)))
(-.f64 (sqrt.f64 (+.f64 x 2)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 2))))
(/.f64 (sqrt.f64 (+.f64 x 2)) 1)
(/.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 x 2))) 2)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))) 2) -2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x 2))))
(sqrt.f64 (+.f64 x 2))
(+.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) 0)
(+.f64 0 (*.f64 (+.f64 x 2) (+.f64 x 2)))
(-.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) 0)
(-.f64 0 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) 1)
(/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2))))
(/.f64 (*.f64 (+.f64 x 2) (+.f64 x (+.f64 x 4))) 2)
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x (+.f64 x 4)))) -2)
(pow.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(fabs.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))
(fabs.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (neg.f64 (+.f64 x 2)) (+.f64 x 2)))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 x 2)) (+.f64 x 2)))
(fabs.f64 (*.f64 (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))) (+.f64 x 2)))
(fabs.f64 (*.f64 (+.f64 x 2) (neg.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 x 2)) (neg.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))) (neg.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (+.f64 x 2) (fabs.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (neg.f64 (+.f64 x 2)) (fabs.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))) (fabs.f64 (+.f64 x 2))))
(fabs.f64 (*.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (neg.f64 (+.f64 x 2)) (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (+.f64 x 2)) (/.f64 (+.f64 x 2) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (fabs.f64 (+.f64 x 2)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (neg.f64 (+.f64 x 2)) (fabs.f64 (+.f64 x 2)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x (+.f64 x 4)) (*.f64 (fabs.f64 (+.f64 x 2)) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (+.f64 x 2) (+.f64 x 2))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 1 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (+.f64 x 2) (+.f64 x 2))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (+.f64 x 2) (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (+.f64 x 2) (*.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (+.f64 x 2))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
Outputs
2
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
x
(+.f64 2 x)
(+.f64 2 x)
(+.f64 2 x)
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 x (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 -1/8 (sqrt.f64 1/2)) 2)) 1/2))) (pow.f64 x 3)) (sqrt.f64 1/2))))))
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(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (neg.f64 (*.f64 (+.f64 2 x) (+.f64 2 x))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (-.f64 (/.f64 0 (+.f64 2 x)) (/.f64 (+.f64 2 x) (+.f64 2 x)))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (*.f64 (+.f64 2 x) (/.f64 -1 (+.f64 2 x)))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (*.f64 (neg.f64 (*.f64 (+.f64 2 x) (+.f64 2 x))) (/.f64 1 (*.f64 (+.f64 2 x) (+.f64 2 x))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (*.f64 (/.f64 1 (*.f64 (+.f64 2 x) (+.f64 2 x))) (*.f64 (+.f64 2 x) (+.f64 2 x)))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (neg.f64 (*.f64 (+.f64 2 x) (+.f64 2 x))))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (-.f64 (/.f64 0 (+.f64 2 x)) (/.f64 (+.f64 2 x) (+.f64 2 x)))))
(fabs.f64 (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (*.f64 (+.f64 2 x) (/.f64 -1 (+.f64 2 x)))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 x 2) (+.f64 x 2))) (*.f64 (neg.f64 (*.f64 (+.f64 x 2) (+.f64 x 2))) (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (fabs.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))))
(fabs.f64 (*.f64 1 (*.f64 (/.f64 1 (*.f64 (+.f64 2 x) (+.f64 2 x))) (*.f64 (neg.f64 (*.f64 (+.f64 2 x) (+.f64 2 x))) (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (fabs.f64 (/.f64 (+.f64 2 x) (+.f64 2 x))))))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (fabs.f64 (/.f64 (+.f64 2 x) (+.f64 2 x)))) (*.f64 (neg.f64 (*.f64 (+.f64 2 x) (+.f64 2 x))) (/.f64 1 (*.f64 (+.f64 2 x) (+.f64 2 x))))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (fabs.f64 (/.f64 (+.f64 2 x) (+.f64 2 x)))) (*.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (/.f64 -1 (*.f64 (+.f64 2 x) (+.f64 2 x))))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (fabs.f64 (/.f64 (+.f64 2 x) (+.f64 2 x)))) (-.f64 (/.f64 0 (+.f64 2 x)) (/.f64 (+.f64 2 x) (+.f64 2 x)))))
(fabs.f64 (*.f64 (/.f64 (*.f64 (+.f64 2 x) (+.f64 2 x)) (fabs.f64 (/.f64 (+.f64 2 x) (+.f64 2 x)))) (*.f64 (+.f64 2 x) (/.f64 -1 (+.f64 2 x)))))
(fabs.f64 (-.f64 0 (/.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 x 2) (+.f64 x 2))))))
(*.f64 (+.f64 2 x) (+.f64 2 x))

eval126.0ms (2.1%)

Compiler

Compiled 5480 to 4506 computations (17.8% saved)

prune145.0ms (2.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2061207
Fresh000
Picked101
Done055
Total2076213
Error
0.0b
Counts
213 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.2b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
▶22.2b
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) 2)
✓42.1b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓20.6b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓21.4b
(sqrt.f64 (+.f64 x 2))
✓17.2b
(sqrt.f64 2)
Compiler

Compiled 51 to 44 computations (13.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 x 2))
0.7b
(/.f64 1 (sqrt.f64 (+.f64 x 2)))
Compiler

Compiled 25 to 20 computations (20% saved)

eval32.0ms (0.5%)

Compiler

Compiled 1580 to 1394 computations (11.8% saved)

prune10.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New67168
Fresh000
Picked101
Done055
Total68674
Error
0.0b
Counts
74 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓21.2b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
17.8b
(*.f64 (/.f64 1 (sqrt.f64 2)) 2)
✓42.1b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓20.6b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓21.4b
(sqrt.f64 (+.f64 x 2))
✓17.2b
(sqrt.f64 2)
Compiler

Compiled 49 to 43 computations (12.2% saved)

regimes30.0ms (0.5%)

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

3 calls:

18.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
4.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
ErrorSegmentsBranch
0.0b2x
0.2b2(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.2b2(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 94 to 79 computations (16% saved)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-0.008274526464742887
-2.4359219729633504e-12
Results
18.0ms144×body256valid
Compiler

Compiled 197 to 167 computations (15.2% saved)

regimes7.0ms (0.1%)

Accuracy

Total -5.1b remaining (-29.6%)

Threshold costs -5.1b (-29.6%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
17.2b1x
Compiler

Compiled 57 to 48 computations (15.8% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02262
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -4958484807013127/1180591620717411303424) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 2)
Outputs
(if (<=.f64 x -4958484807013127/1180591620717411303424) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 x 2)))
(sqrt.f64 2)
Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness323.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
1056×rational_best.json-simplify-80
962×rational_best.json-simplify-24
940×rational_best.json-simplify-78
840×rational_best.json-simplify-49
814×rational_best.json-simplify-94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02183218
14423200
211353200
337043200
473553200
Stop Event
1×node limit
Compiler

Compiled 9 to 7 computations (22.2% saved)

end22.0ms (0.4%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

Profiling

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