Details

Time bar (total: 4.7s)

analyze155.0ms (3.3%)

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 (41.6%)

Results
1.1s2760×body1024valid
464.0ms3897×body256valid
275.0ms1309×body512valid
131.0ms290×body2048valid
7.0ms60×body256infinite
1.0ms8×body256unsamplable
Bogosity

preprocess231.0ms (4.9%)

Algorithm
2×egg-herbie
Rules
996×rational_best_oopsla_all_46_json_45_simplify-35
836×rational_best_oopsla_all_46_json_45_simplify-89
816×rational_best_oopsla_all_46_json_45_simplify-108
752×rational_best_oopsla_all_46_json_45_simplify-74
608×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
12137
23337
36637
422537
5122737
6413837
7688837
011
Stop Event
1×saturated
1×node limit
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)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify142.0ms (3%)

Algorithm
1×egg-herbie
Rules
996×rational_best_oopsla_all_46_json_45_simplify-35
836×rational_best_oopsla_all_46_json_45_simplify-89
816×rational_best_oopsla_all_46_json_45_simplify-108
752×rational_best_oopsla_all_46_json_45_simplify-74
608×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
12137
23337
36637
422537
5122737
6413837
7688837
Stop Event
1×node limit
Counts
1 → 3
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)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))

eval1.0ms (0%)

Compiler

Compiled 37 to 28 computations (24.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
38.7b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.7b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize17.0ms (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))
✓4.1b
(-.f64 (exp.f64 (*.f64 2 x)) 1)
✓4.1b
(-.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)

rewrite81.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1158×rational_best_oopsla_all_46_json_45_simplify-89
1134×rational_best_oopsla_all_46_json-2
1134×rational_best_oopsla_all_46_json-1
1134×rational_best_oopsla_all_46_json-4
1134×rational_best_oopsla_all_46_json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
16661
214461
346461
4224261
Stop Event
1×node limit
Counts
3 → 130
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
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(#(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 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x))))) (*.f64 -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)) (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x))))) (+.f64 0 (*.f64 -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 -1 (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 (+.f64 x x))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) 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*.f64 (*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (/.f64 (+.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 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -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))))))))

simplify106.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1476×rational_best_oopsla_all_46_json_45_simplify-23
1464×rational_best_oopsla_all_46_json_45_simplify-37
1054×rational_best_oopsla_all_46_json_45_simplify-89
842×rational_best_oopsla_all_46_json_45_simplify-24
842×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02622866
111502848
Stop Event
1×node limit
Counts
142 → 160
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 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 0 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 0 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.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 (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 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.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 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.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 (exp.f64 x) -1) (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.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 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (*.f64 (/.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 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(*.f64 (/.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 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.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 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
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(*.f64 (/.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 (+.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 (+.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 (+.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 (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 (/.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 -1 (neg.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 (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 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 (/.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 (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 (+.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 (+.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 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 (+.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 (*.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 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)))))))
(*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) -1)
(*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (neg.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 (neg.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 (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (neg.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 (+.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 (/.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 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 (/.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 (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 (/.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 (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 (+.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 (neg.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)))) (neg.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (neg.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 (neg.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 (/.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 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 x (+.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)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.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 (*.f64 x 2) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) 4/3)))
(+.f64 (*.f64 2 (+.f64 x (pow.f64 x 2))) (*.f64 (pow.f64 x 3) 4/3))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 4/3 (pow.f64 x 3)) (*.f64 2 x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) 4/3)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (*.f64 (pow.f64 x 3) 4/3) (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 2 (+.f64 x (pow.f64 x 2)))))
2
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.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 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 0 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 0 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.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 (exp.f64 x) -1) (*.f64 (/.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 (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 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.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 (+.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 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.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 (exp.f64 x) -1)
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(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (/.f64 (+.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 (exp.f64 (+.f64 x x)) -1) (+.f64 (exp.f64 x) -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))

eval68.0ms (1.4%)

Compiler

Compiled 5591 to 3151 computations (43.6% saved)

prune26.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1564160
Fresh000
Picked011
Done000
Total1565161
Error
0.0b
Counts
161 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓38.7b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶22.9b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
▶23.8b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
▶24.0b
(sqrt.f64 (+.f64 x 2))
▶19.3b
(sqrt.f64 2)
Compiler

Compiled 49 to 41 computations (16.3% saved)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 7 computations (30% saved)

localize96.0ms (2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
✓0.0b
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓10.3b
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
Compiler

Compiled 69 to 54 computations (21.7% saved)

series2.0ms (0%)

Counts
4 → 36
Calls

12 calls:

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

rewrite139.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1472×rational_best_oopsla_all_46_json-2
1472×rational_best_oopsla_all_46_json-1
1472×rational_best_oopsla_all_46_json-4
1472×rational_best_oopsla_all_46_json-3
960×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014100
183100
2190100
3609100
42816100
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
Outputs
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simplify126.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1472×rational_best_oopsla_all_46_json_45_simplify-23
1412×rational_best_oopsla_all_46_json_45_simplify-49
1012×rational_best_oopsla_all_46_json_45_simplify-37
866×rational_best_oopsla_all_46_json_45_simplify-89
746×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02394747
19494721
267084721
Stop Event
1×node limit
Counts
153 → 155
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)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
2
(+.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(-.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 0)
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 2 (+.f64 x (*.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)
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(*.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
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(*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) -1)
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (neg.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))))))))
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(/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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)))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
2
(+.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(+.f64 2 (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(+.f64 x (-.f64 2 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 2 (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 0)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (-.f64 2 (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))) 1)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 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 (+.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 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 (+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 (+.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 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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.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 (+.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 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
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(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) x)))
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1 (*.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) x)))
(*.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (-.f64 x (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 -1 (-.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (*.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(*.f64 (neg.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) x))
(*.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (-.f64 x (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (/.f64 (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 x (*.f64 1/6 (pow.f64 x 3)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) x))
(-.f64 x (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (+.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(-.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) 0)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (+.f64 x 2) (*.f64 (pow.f64 x 3) -1/6))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 1 (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (*.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)) -1)
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))
(*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)) (neg.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))) (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))))
(*.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2))))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))
(*.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))) (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))))
(*.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(*.f64 (neg.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(*.f64 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))) (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))))
(/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))) (/.f64 (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x 2)))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 2 x)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 3) -1/6))

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite97.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1700×rational_best_oopsla_all_46_json_45_simplify-23
1674×rational_best_oopsla_all_46_json_45_simplify-13
1092×rational_best_oopsla_all_46_json-2
1092×rational_best_oopsla_all_46_json-1
1092×rational_best_oopsla_all_46_json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
16354
214154
344354
4210254
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))
Outputs
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simplify111.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1334×rational_best_oopsla_all_46_json_45_simplify-49
1218×rational_best_oopsla_all_46_json_45_simplify-72
946×rational_best_oopsla_all_46_json_45_simplify-35
864×rational_best_oopsla_all_46_json_45_simplify-23
770×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02464006
18933980
245403980
Stop Event
1×node limit
Counts
110 → 140
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 (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))))) 0))
(-.f64 (sqrt.f64 (+.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)))) (/.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))))) 0))
(-.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 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))) (*.f64 (neg.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))))) 0))
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(*.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 (+.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 (*.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 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 (+.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 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 (*.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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 0 (*.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 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (+.f64 0 (*.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 (*.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 (*.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)) (+.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 (*.f64 (pow.f64 x 2) -1/2) (+.f64 x 2)) -1)
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 x 2)) (neg.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 (pow.f64 x 2) -1/2) (+.f64 x 2)))
(*.f64 -1 (+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) 2)))
(*.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (+.f64 x 2))))
(*.f64 -1 (+.f64 (neg.f64 (+.f64 x 2)) (*.f64 (pow.f64 x 2) -1/2)))
(*.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 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(*.f64 (neg.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 (pow.f64 x 2) -1/2) (+.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 (*.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)) (/.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 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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)) (/.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.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 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.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 (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 1/2 (/.f64 x (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 -1/4 (/.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)) (pow.f64 (sqrt.f64 2) 3))) (*.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)) (pow.f64 (sqrt.f64 2) 3)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))))
(+.f64 (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (*.f64 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 x (sqrt.f64 1/2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 x (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 x (sqrt.f64 1/2)))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3)))))))
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 1/2) (*.f64 -1 x))
(*.f64 (sqrt.f64 1/2) (neg.f64 x))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(-.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 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 (sqrt.f64 1/2) (*.f64 -1 x)) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (-.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))) (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) x))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1 x)) (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (-.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 x (sqrt.f64 1/2)))) (-.f64 (+.f64 (*.f64 (sqrt.f64 1/2) (neg.f64 x)) (*.f64 1/4 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1/2 (sqrt.f64 1/2)) 2)) (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) 0)
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (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))))) 0))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (sqrt.f64 (+.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)))) (/.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))))) 0))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (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 0 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))) (*.f64 (neg.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))))) 0))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x)))
(sqrt.f64 (+.f64 x (+.f64 2 (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 0 (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)))))
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(/.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 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 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))))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 x 2)))
(-.f64 (+.f64 2 x) (*.f64 (pow.f64 x 2) -1/2))

eval472.0ms (10%)

Compiler

Compiled 10559 to 8648 computations (18.1% saved)

prune162.0ms (3.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2941295
Fresh000
Picked011
Done044
Total2946300
Error
0.0b
Counts
300 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶23.7b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓38.7b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓22.9b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓23.8b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
✓24.0b
(sqrt.f64 (+.f64 x 2))
✓19.3b
(sqrt.f64 2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 21 computations (16% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@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))))

rewrite89.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1460×rational_best_oopsla_all_46_json_45_simplify-23
1402×rational_best_oopsla_all_46_json_45_simplify-13
904×rational_best_oopsla_all_46_json-2
904×rational_best_oopsla_all_46_json-1
904×rational_best_oopsla_all_46_json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
15538
211938
337638
4181038
Stop Event
1×node limit
Counts
2 → 197
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
Outputs
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simplify201.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
1718×rational_best_oopsla_all_46_json_45_simplify-89
1412×rational_best_oopsla_all_46_json_45_simplify-24
1412×rational_best_oopsla_all_46_json_45_simplify-74
728×rational_best_oopsla_all_46_json_45_simplify-23
656×rational_best_oopsla_all_46_json_45_simplify-37
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03954640
117604536
277914536
Stop Event
1×node limit
Counts
200 → 210
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 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) 0))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 0))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 0))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 x (sqrt.f64 2)))))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (/.f64 x (sqrt.f64 2)) -1/2))
(-.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)) -1/2)))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (*.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 x (sqrt.f64 2)) -1/2)))
(-.f64 0 (neg.f64 (/.f64 x (sqrt.f64 2))))
(-.f64 (*.f64 0 (*.f64 (/.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)))) (neg.f64 (/.f64 x (sqrt.f64 2)))))
(-.f64 (*.f64 0 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (neg.f64 (/.f64 x (sqrt.f64 2)))))
(*.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 (/.f64 (/.f64 x (sqrt.f64 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 x (sqrt.f64 2)) (/.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 1/2 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.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 x (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.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)) (/.f64 x (sqrt.f64 2))))))
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(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (*.f64 1/2 (/.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))
(*.f64 (/.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 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.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 (/.f64 x (sqrt.f64 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 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 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.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 (/.f64 (/.f64 x (sqrt.f64 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 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 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 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
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(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))
(*.f64 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))
(*.f64 (neg.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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))
(/.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 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 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))))))
(neg.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))
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 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) 0))
(/.f64 x (sqrt.f64 2))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 0))
(/.f64 x (sqrt.f64 2))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (neg.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) 0))
(/.f64 x (sqrt.f64 2))
(-.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 0 (/.f64 x (sqrt.f64 2)))))
(/.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 (*.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)) -1/2)))
(-.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) -1/2)))
(*.f64 (/.f64 x (sqrt.f64 2)) (-.f64 1/2 (*.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))) -1/2)))
(-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) 1/2) (*.f64 (*.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 x (sqrt.f64 2)) -1/2)))
(-.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 2))) (*.f64 (*.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 x (sqrt.f64 2)) -1/2)))
(*.f64 (/.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 x (sqrt.f64 2)))) -1/2)))
(-.f64 0 (neg.f64 (/.f64 x (sqrt.f64 2))))
(/.f64 x (sqrt.f64 2))
(-.f64 (*.f64 0 (*.f64 (/.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)))) (neg.f64 (/.f64 x (sqrt.f64 2)))))
(/.f64 x (sqrt.f64 2))
(-.f64 (*.f64 0 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (neg.f64 (/.f64 x (sqrt.f64 2)))))
(/.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 (/.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 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 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.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 x (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.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)) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.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 x (sqrt.f64 2)) (*.f64 (/.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (*.f64 1/2 (/.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.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 (/.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 x (sqrt.f64 2)) (+.f64 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.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 (/.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 x (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.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 (/.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 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.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 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 1/2 (*.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 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (*.f64 1/2 (/.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 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 1 (/.f64 x (sqrt.f64 2)))))))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 1 (/.f64 x (sqrt.f64 2))) (*.f64 1/2 (/.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 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (*.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 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))))
(/.f64 x (sqrt.f64 2))
(*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 1/2 (/.f64 x (sqrt.f64 2)))) (*.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 1/2 (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2))))))
(/.f64 x (sqrt.f64 2))
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(-.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 (/.f64 x (sqrt.f64 2)) -1/2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (+.f64 0 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (+.f64 0 (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (*.f64 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2)) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 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 (/.f64 x (sqrt.f64 2)) -1/2))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(*.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) -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 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 0 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (/.f64 0 (+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) 1/2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 0 (*.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 -1 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (neg.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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (neg.f64 (sqrt.f64 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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.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 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.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 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (neg.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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (/.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 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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 (+.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 (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))))
(neg.f64 (-.f64 (*.f64 (/.f64 x (sqrt.f64 2)) -1/2) (sqrt.f64 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))))

eval148.0ms (3.1%)

Compiler

Compiled 7207 to 6227 computations (13.6% saved)

prune31.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2100210
Fresh000
Picked011
Done055
Total2106216
Error
0.0b
Counts
216 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.7b
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
✓38.7b
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓22.9b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
✓23.8b
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
✓24.0b
(sqrt.f64 (+.f64 x 2))
✓19.3b
(sqrt.f64 2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes18.0ms (0.4%)

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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.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 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
Calls

3 calls:

9.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
ErrorSegmentsBranch
0.0b2x
0.1b2(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.1b2(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 81 to 67 computations (17.3% saved)

bsearch19.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
19.0ms
-0.02115011904229433
-1.3678048367555044e-10
Results
17.0ms144×body256valid
Compiler

Compiled 305 to 257 computations (15.7% saved)

regimes17.0ms (0.4%)

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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
ErrorSegmentsBranch
0.0b2x
0.1b2(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.1b2(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 65 to 54 computations (16.9% saved)

bsearch20.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-0.02115011904229433
-1.3678048367555044e-10
Results
17.0ms144×body256valid
Compiler

Compiled 251 to 212 computations (15.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -4.9b remaining (-25.5%)

Threshold costs -4.9b (-25.5%)

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 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2)))
Outputs
(sqrt.f64 2)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
19.3b1x
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037173
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -8762203435012037/9223372036854775808) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(if (<=.f64 x -7526271582073497/73786976294838206464) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(sqrt.f64 2)
Outputs
(if (<=.f64 x -8762203435012037/9223372036854775808) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))))
(if (<=.f64 x -7526271582073497/73786976294838206464) (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) (sqrt.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x 2))))
(sqrt.f64 2)
Compiler

Compiled 63 to 52 computations (17.5% saved)

soundness103.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1476×rational_best_oopsla_all_46_json_45_simplify-23
1464×rational_best_oopsla_all_46_json_45_simplify-37
1054×rational_best_oopsla_all_46_json_45_simplify-89
842×rational_best_oopsla_all_46_json_45_simplify-24
842×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02622866
111502848
Stop Event
1×node limit
Compiler

Compiled 81 to 66 computations (18.5% saved)

end40.0ms (0.9%)

Compiler

Compiled 61 to 49 computations (19.7% saved)

Profiling

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