Details

Time bar (total: 5.3s)

analyze155.0ms (2.9%)

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)

sample2.0s (38.3%)

Results
1.2s2788×body1024valid
408.0ms3820×body256valid
285.0ms1334×body512valid
143.0ms314×body2048valid
6.0ms49×body256infinite
1.0ms6×body256unsamplable
Bogosity

preprocess15.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
4×rational_best-simplify-1
4×rational_best-simplify-19
2×rational_best-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)

simplify69.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
4×rational_best-simplify-1
4×rational_best-simplify-19
2×rational_best-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
42.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.5b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓2.9b
(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓3.0b
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 46 to 33 computations (28.3% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite134.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1090×rational_best-simplify-57
732×rational_best-simplify-43
562×rational_best-simplify-44
532×rational_best-5
532×rational_best-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
19861
231561
3130461
4527261
Stop Event
1×node limit
Counts
3 → 68
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 1 (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (*.f64 (exp.f64 x) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 (+.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (+.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)) (+.f64 (exp.f64 (+.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (exp.f64 (+.f64 x x)) -1) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 (+.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (exp.f64 (+.f64 x x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (*.f64 2 (exp.f64 (+.f64 x x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 (+.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))))))

simplify126.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1080×rational_best-simplify-2
988×rational_best-simplify-80
858×rational_best-simplify-78
550×rational_best-simplify-82
548×rational_best-simplify-94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01571698
13431686
26891686
319901686
443361686
Stop Event
1×node limit
Counts
80 → 110
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)))
(+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(*.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))
(*.f64 (/.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 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(/.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 (exp.f64 (+.f64 x x)) -1) (*.f64 (+.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 (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))))
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 x (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (*.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.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 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(*.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 x 2) (+.f64 (*.f64 (pow.f64 x 3) 4/3) (*.f64 2 (pow.f64 x 2))))
(+.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 x 2) (+.f64 (*.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 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
(+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(+.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 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.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)
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))
(+.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 (+.f64 (exp.f64 x) -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 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (+.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 (exp.f64 x) -1)
(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (+.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) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (exp.f64 x)) -2) 2)
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(pow.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) 1)
(+.f64 -1 (exp.f64 (+.f64 x x)))
(neg.f64 (-.f64 1 (exp.f64 (+.f64 x x))))
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(+.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
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(+.f64 0 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(-.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 0)
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(-.f64 0 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(*.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
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(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.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 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
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(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.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 (exp.f64 (+.f64 x x))) (+.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 -1 (exp.f64 (+.f64 x x))) (+.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 -1 (exp.f64 (+.f64 x x))) (+.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)))
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(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.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 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
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(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.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))))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) 1)
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))
(neg.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 (exp.f64 x) -1))

eval44.0ms (0.8%)

Compiler

Compiled 2572 to 1607 computations (37.5% saved)

prune16.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh000
Picked011
Done000
Total1065111
Error
0b
Counts
111 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.5b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶20.0b
(sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
▶19.4b
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
▶20.2b
(sqrt.f64 (+.f64 x 2))
▶16.5b
(sqrt.f64 2)
Compiler

Compiled 49 to 41 computations (16.3% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize5.0ms (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))

rewrite71.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1532×rational_best-5
1530×rational_best-4
1530×rational_best-2
1530×rational_best-3
1530×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
15811
218411
373311
4311211
Stop Event
1×node limit
Counts
1 → 30
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 x 2) (*.f64 (+.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 (sqrt.f64 (*.f64 (+.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 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 (+.f64 x 2) (*.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)))))))) (#(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 x 2) (*.f64 (+.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 (*.f64 (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 x 2) (*.f64 (+.f64 x 2) (+.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 x 2) (*.f64 (+.f64 x 2) (*.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))))))))

simplify130.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1262×rational_best-simplify-80
1112×rational_best-simplify-78
740×rational_best-simplify-2
668×rational_best-simplify-54
652×rational_best-simplify-82
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080500
1139500
2262500
3712500
42024500
54286500
Stop Event
1×node limit
Counts
34 → 45
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 x 2) (*.f64 (+.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 (sqrt.f64 (*.f64 (+.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 x 2))) (sqrt.f64 (*.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 (/.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 (*.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 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 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 (*.f64 (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 x 2) (*.f64 (+.f64 x 2) (+.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 x 2) (*.f64 (+.f64 x 2) (*.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 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (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 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8))) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32))))))
(+.f64 (+.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 8)))) (+.f64 (sqrt.f64 2) (*.f64 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32)))))
(+.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 (+.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 1/16 (/.f64 (pow.f64 x 3) (sqrt.f64 32)))))
(+.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 (+.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 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 x 2) (*.f64 (+.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 (sqrt.f64 (*.f64 (+.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 x 2))) (sqrt.f64 (*.f64 (+.f64 x 2) (+.f64 x 2)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) (*.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)))))
(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 x 2) (*.f64 (+.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 (*.f64 (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 x 2) (*.f64 (+.f64 x 2) (+.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 x 2) (*.f64 (+.f64 x 2) (*.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))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2))
✓10.5b
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
Compiler

Compiled 38 to 30 computations (21.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite187.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
1030×rational_best-simplify-57
744×rational_best-simplify-80
520×rational_best-5
518×rational_best-4
518×rational_best-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
19354
229354
3117754
4499554
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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(+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.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)) 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 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 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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 (neg.f64 (+.f64 (+.f64 x 2) (+.f64 (pow.f64 x 2) (+.f64 x 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))))))))

simplify179.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1300×rational_best-simplify-54
910×rational_best-simplify-2
706×rational_best-simplify-1
670×rational_best-simplify-24
668×rational_best-simplify-41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01672506
13262486
211012474
335892474
457362474
Stop Event
1×node limit
Counts
78 → 103
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 (neg.f64 (+.f64 (+.f64 x 2) (+.f64 (pow.f64 x 2) (+.f64 x 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 (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)))))
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(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
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(*.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)))))
(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 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)
(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 (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)))))
(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 (*.f64 2 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 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)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))) 2) -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)))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 1)
(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)))))
(neg.f64 (neg.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 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) 0)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 0 (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))))
(*.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 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 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 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 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (*.f64 (+.f64 (*.f64 1/2 (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 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (*.f64 (+.f64 (*.f64 1/2 (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 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 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 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 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 2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2))))) 2)
(/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 x 4))) 2)
(/.f64 (neg.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 2 (+.f64 x (+.f64 2 (+.f64 x (pow.f64 x 2))))) 2)
(/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (+.f64 x 4))) 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))))

localize26.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓11.2b
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))
Compiler

Compiled 67 to 53 computations (20.9% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))
0.0ms
x
@0
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))

rewrite112.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1250×rational_best-simplify-57
798×rational_best-simplify-1
624×rational_best-simplify-44
622×rational_best-5
620×rational_best-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
111756
235056
3142356
4607456
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))))))

simplify153.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1378×rational_best-simplify-80
1324×rational_best-simplify-129
1288×rational_best-simplify-78
1226×rational_best-simplify-94
1130×rational_best-simplify-135
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721344
11501344
26651344
336811344
Stop Event
1×node limit
Counts
42 → 45
Calls
Call 1
Inputs
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)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.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 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.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 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(-.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 0)
(-.f64 0 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(*.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (/.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (*.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) 2)
(pow.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(neg.f64 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(-.f64 0 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(neg.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.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)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.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)) x))
(+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 0)
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 0 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (*.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) (*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (/.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (*.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))) 2)
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(pow.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(neg.f64 (neg.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))
(+.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 (+.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(-.f64 0 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(neg.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))

eval401.0ms (7.6%)

Compiler

Compiled 5426 to 4534 computations (16.4% saved)

prune100.0ms (1.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1921193
Fresh000
Picked011
Done044
Total1926198
Error
0b
Counts
198 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.0b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓42.5b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓20.0b
(sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
✓19.4b
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
✓20.2b
(sqrt.f64 (+.f64 x 2))
✓16.5b
(sqrt.f64 2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

localize143.0ms (2.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓0.4b
(/.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
@0
(/.f64 x (sqrt.f64 2))
0.0ms
x
@inf
(/.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))))

rewrite209.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
1880×rational_best-2
1880×rational_best-3
1880×rational_best-1
1878×rational_best-4
1864×rational_best-5
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
18238
225038
3102438
4403338
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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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 (+.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 (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)))))

simplify118.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1446×rational_best-simplify-80
1372×rational_best-simplify-78
1338×rational_best-simplify-94
1188×rational_best-simplify-135
936×rational_best-simplify-49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01171560
12401544
29431538
342471532
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 x (sqrt.f64 2)) 4))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 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 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 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 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 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 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 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (*.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 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 (/.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 (+.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 (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 (*.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 (/.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 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 (*.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 (/.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 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 x (sqrt.f64 2)) 4))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 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 1/4 (*.f64 (+.f64 (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (/.f64 1 (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 (/.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))))) (*.f64 (/.f64 x (sqrt.f64 2)) 1/4)))
(*.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 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 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 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 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 1/2 (*.f64 (sqrt.f64 2) x)) (*.f64 (sqrt.f64 2) (*.f64 x (*.f64 (sqrt.f64 2) x))))
(*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (*.f64 (sqrt.f64 2) x) (/.f64 1/2 (*.f64 (sqrt.f64 2) x))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))) (*.f64 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 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 1/4 (*.f64 (/.f64 2 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(*.f64 1/4 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 2 (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) 1/4)) (/.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 (+.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 (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))))

eval192.0ms (3.6%)

Compiler

Compiled 2004 to 1760 computations (12.2% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New83083
Fresh000
Picked011
Done055
Total83689
Error
0b
Counts
89 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.0b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓42.5b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓20.0b
(sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
✓19.4b
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
✓20.2b
(sqrt.f64 (+.f64 x 2))
✓16.5b
(sqrt.f64 2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes102.0ms (1.9%)

Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 x 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3)))))
Calls

3 calls:

88.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
9.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
ErrorSegmentsBranch
0b2x
0b2(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0b2(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 81 to 67 computations (17.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.001986520255959
1.9999106265081776
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes171.0ms (3.2%)

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

3 calls:

159.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
8.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
ErrorSegmentsBranch
0.0b2x
0.0b2(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b2(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 65 to 54 computations (16.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.001986520255959
1.9999106265081776
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -4.1b remaining (-25.1%)

Threshold costs -4.1b (-25.1%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
16.5b1x
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035237
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2))))
(sqrt.f64 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (+.f64 2 (*.f64 1/6 (pow.f64 x 3))))))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) 3/2) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) 2))))
(sqrt.f64 2)
Compiler

Compiled 83 to 68 computations (18.1% saved)

soundness221.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1080×rational_best-simplify-2
988×rational_best-simplify-80
858×rational_best-simplify-78
550×rational_best-simplify-82
548×rational_best-simplify-94
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01571698
13431686
26891686
319901686
443361686
Stop Event
1×node limit
Compiler

Compiled 49 to 40 computations (18.4% saved)

end121.0ms (2.3%)

Compiler

Compiled 81 to 65 computations (19.8% saved)

Profiling

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