Details

Time bar (total: 8.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.7s (19.5%)

Results
735.0ms2072×body1024valid
559.0ms4869×body256valid
241.0ms1088×body512valid
98.0ms227×body2048valid
Bogosity

preprocess66.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
868×unswap-sqr_binary64
382×associate-*l*_binary64
378×fma-def_binary64
314×associate-/l/_binary64
290×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12930
24130
35830
410330
522630
659930
7190130
8496930
9639430
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
981×times-frac_binary64
942×fma-neg_binary64
434×unswap-sqr_binary64
363×associate-*l/_binary64
344×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

eval1.0ms (0%)

Compiler

Compiled 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
31.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize18.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.9b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
0.0b
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
0.0b
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
✓0.0b
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
✓3.9b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Compiler

Compiled 38 to 32 computations (15.8% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite77.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
456×log-prod_binary64
357×exp-prod_binary64
286×pow2_binary64
249×pow-prod-down_binary64
212×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
123936
2295336
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2))))
(+.f64 1 (exp.f64 (/.f64 x -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1)) (/.f64 1 (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (-.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 -2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 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(exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 8) (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) (hypot.f64 1 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) -4) 1) (expm1.f64 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 x -2)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) 1)))))

simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
972×fma-def_binary64
611×associate-*l/_binary64
550×associate-*r/_binary64
488×associate-/l/_binary64
451×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042411
1112407
2261405
3728399
41639396
52831396
64160396
Stop Event
1×node limit
Counts
169 → 160
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) 1)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x -2 (fma.f64 2 (*.f64 x x) 2))
(fma.f64 x (fma.f64 x 2 -2) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)) (fma.f64 2 (*.f64 x x) 2))
(fma.f64 (fma.f64 x x 1) 2 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)))
(fma.f64 x (*.f64 x (fma.f64 x -4/3 2)) (fma.f64 x -2 2))
(fma.f64 x (fma.f64 x (fma.f64 x -4/3 2) -2) 2)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 -2) x))

eval59.0ms (0.7%)

Compiler

Compiled 2500 to 2012 computations (19.5% saved)

prune29.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1546160
Fresh000
Picked011
Done000
Total1547161
Error
0b
Counts
161 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.4b
(+.f64 (+.f64 1 x) -1)
✓31.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
▶32.5b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
▶46.3b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
▶29.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
27.8b
x
▶31.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Compiler

Compiled 137 to 121 computations (11.7% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -1/3 (pow.f64 x 3))
✓0.1b
(*.f64 -1/3 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 -1/3 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 -1/3 (pow.f64 x 3))

rewrite46.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
498×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213247
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(+.f64 (+.f64 1 x) -1)
✓3.9b
(+.f64 (+.f64 1 x) -1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
700×pow1_binary64
654×add-log-exp_binary64
654×log1p-expm1-u_binary64
654×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11294
216984
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 1 x) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
45 → 34
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.9b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
0.0b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓0.0b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓3.9b
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite66.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
580×unpow-prod-down_binary64
417×log-prod_binary64
323×exp-prod_binary64
252×pow2_binary64
241×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120219
2257719
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (fma.f64 -2 x 2) -3) -1) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (fma.f64 -2 x 2) -2) 1) (/.f64 -2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (fma.f64 -2 x 2) -3) -1) (pow.f64 (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (fma.f64 -2 x 2) -2) 1) (/.f64 -2 (fma.f64 -2 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (fma.f64 -2 x 2) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (fma.f64 -2 x 2) -2) -1) (pow.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 2) 3) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1))) 3))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -2 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 -2 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8 (pow.f64 (fma.f64 -2 x 2) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 3) 1/3))))))

simplify52.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
774×fma-neg_binary64
535×associate-*l*_binary64
445×fma-def_binary64
443×associate-*r*_binary64
425×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038333
1112299
2345290
31021289
42833289
Stop Event
1×node limit
Counts
135 → 139
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (fma.f64 x x x) (pow.f64 x 3))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (+.f64 x (*.f64 x x)) 1)
(+.f64 (fma.f64 x x x) 1)
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1)
(+.f64 (+.f64 (fma.f64 x x x) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 x (fma.f64 x x x) x) 1)
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.9b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
0.3b
(log1p.f64 (pow.f64 (exp.f64 x) -2))
0.0b
(pow.f64 (exp.f64 x) -2)
0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
✓0.0b
(pow.f64 (exp.f64 x) -2)
✓0.3b
(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓3.9b
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series70.0ms (0.8%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
15.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
2.0ms
x
@0
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
1.0ms
x
@0
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

rewrite81.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
923×pow1_binary64
857×add-log-exp_binary64
856×expm1-log1p-u_binary64
854×log1p-expm1-u_binary64
836×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
120142
2235542
Stop Event
1×node limit
Counts
4 → 82
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(pow.f64 (exp.f64 x) -2)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3)) 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(exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 x)) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -2) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -2) (pow.f64 (sqrt.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x -2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))

simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
878×fma-def_binary64
529×associate-*l*_binary64
524×unswap-sqr_binary64
419×associate-*r*_binary64
408×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071616
1179607
2419571
31213497
44152497
57864497
Stop Event
1×node limit
Counts
130 → 120
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 -1/45 (pow.f64 x 6) x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/12) -1/2) (fma.f64 -1/45 (pow.f64 x 6) x))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/45 (pow.f64 x 6) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (neg.f64 x)))
(-.f64 (fma.f64 (*.f64 x x) 1/2 (log.f64 2)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) (log.f64 2)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/12) x) (fma.f64 (*.f64 x x) 1/2 (log.f64 2)))
(fma.f64 x (*.f64 x 1/2) (-.f64 (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)) x))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 x (+.f64 x x) 1))
(fma.f64 x (fma.f64 x 2 -2) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (fma.f64 -2 x (*.f64 -4/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (*.f64 x x) (fma.f64 x -2 1)) (*.f64 -4/3 (pow.f64 x 3)))
(fma.f64 x (+.f64 x x) (fma.f64 x -2 (fma.f64 -4/3 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 2 -2) (fma.f64 -4/3 (pow.f64 x 3) 1))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))))
(+.f64 -1 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

localize46.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
0.0b
(/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))
0.0b
(hypot.f64 1 (exp.f64 (neg.f64 x)))
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
✓0.0b
(cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))
✓0.2b
(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
✓0.5b
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
✓4.1b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
Compiler

Compiled 94 to 64 computations (31.9% saved)

series33.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
9.0ms
x
@0
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
9.0ms
x
@-inf
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
2.0ms
x
@0
(cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))
1.0ms
x
@0
(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

rewrite85.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
621×log-prod_binary64
271×fma-def_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
234×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01974
139152
2474052
Stop Event
1×node limit
Counts
4 → 164
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
(pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)
(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) -1) (-.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) 3) -1) (fma.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) 2))) -1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 1 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 4))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 x)) -4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) 2)))) 1))))))

simplify91.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
943×distribute-rgt-in_binary64
936×distribute-lft-in_binary64
263×associate-*r*_binary64
218×times-frac_binary64
207×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523286
17822700
229392115
Stop Event
1×node limit
Counts
212 → 207
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (cbrt.f64 4))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 (sqrt.f64 2) 10))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (+.f64 4/3 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 8/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/9) (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))))) (+.f64 (*.f64 64/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/3)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 8))) (*.f64 -4 (/.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)))) (pow.f64 (sqrt.f64 2) 2))))))))))))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (pow.f64 x 2))))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(pow.f64 (sqrt.f64 2) 4)
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (pow.f64 (sqrt.f64 2) 4))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (+.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (+.f64 4/3 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))))))) (*.f64 -4 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)))) (pow.f64 x 3)) (+.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(*.f64 (cbrt.f64 2) (cbrt.f64 1/2))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 2) x))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 2) x))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 2) x))) (+.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (cbrt.f64 2) (pow.f64 x 3))) (pow.f64 (cbrt.f64 1/2) 2))))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (cbrt.f64 4))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (cbrt.f64 4)) (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 4) x))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (cbrt.f64 4)) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 4) x))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (pow.f64 x 2)))))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (cbrt.f64 4)) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 4) x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 4) (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (+.f64 4/3 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 8/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/9) (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))))) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 (sqrt.f64 2) 10))) (+.f64 (*.f64 64/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/3)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 8))) (*.f64 -4 (/.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)))) (pow.f64 (sqrt.f64 2) 2)))))))) (pow.f64 x 3))))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (pow.f64 x 2))))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
Outputs
(-.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)
(fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) -1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) 1)
(+.f64 (*.f64 (fma.f64 4/3 (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1))
(fma.f64 (fma.f64 4/3 (*.f64 (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) -1))
(fma.f64 (*.f64 (cbrt.f64 2) (+.f64 (*.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (*.f64 1/6 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 4)))) x (fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4)) -1))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 (fma.f64 4/3 (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 -1/36 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 2) 8)) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (-.f64 (/.f64 12 (pow.f64 (sqrt.f64 2) 8)) (fma.f64 16/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) (/.f64 (*.f64 2 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 6)))))))))) (*.f64 x x)))) -1)
(+.f64 -1 (fma.f64 (fma.f64 4/3 (*.f64 (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (*.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 1/3 (*.f64 (cbrt.f64 16) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 1/2) (-.f64 3/4 (fma.f64 2 (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)) (*.f64 16/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18))))))))) (*.f64 -1/36 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 7))))))) (*.f64 x x)))))
(fma.f64 (*.f64 (cbrt.f64 2) (+.f64 (*.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (*.f64 1/6 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 4)))) x (+.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 16) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3)) (cbrt.f64 1/2)))))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) 2/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 -1/36 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 7))))))) (*.f64 x x) -1)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (cbrt.f64 4))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 4 (/.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 (sqrt.f64 2) 10))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (+.f64 4/3 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))))) (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 8/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/9) (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))))) (+.f64 (*.f64 64/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/3)) (+.f64 (*.f64 -4 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 8))) (*.f64 -4 (/.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)))) (pow.f64 (sqrt.f64 2) 2))))))))))))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sqrt.f64 2) 46)) 1/9) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 2) 8) 1) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (-.f64 (*.f64 12 (/.f64 1 (pow.f64 (sqrt.f64 2) 8))) (+.f64 (*.f64 16/3 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/9)) (*.f64 2 (/.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6))))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (pow.f64 x 2))))) 1)
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(+.f64 -1 (fma.f64 (fma.f64 4/3 (*.f64 (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) x (fma.f64 (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (-.f64 3/4 (fma.f64 2 (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)) (*.f64 16/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18))))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 1/4) (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 1/6 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 16) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (+.f64 (/.f64 (*.f64 -2 (+.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2) 2)) (-.f64 4/3 (-.f64 1 (/.f64 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2) 2))))) (pow.f64 (sqrt.f64 2) 6)) (fma.f64 8/3 (*.f64 (-.f64 3/4 (fma.f64 2 (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)) (*.f64 16/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18))) (fma.f64 4 (/.f64 (fma.f64 4 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) 4) (pow.f64 (sqrt.f64 2) 10)) (fma.f64 64/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46))) (fma.f64 -4 (-.f64 3/8 (/.f64 (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)) 1)) (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) -4))))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) (*.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) -1/27))))) (pow.f64 x 3) (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))) (*.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 1/3 (*.f64 (cbrt.f64 16) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 1/2) (-.f64 3/4 (fma.f64 2 (/.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 6)) (*.f64 16/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18))))))))) (*.f64 -1/36 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 7))))))) (*.f64 x x))))))
(+.f64 -1 (fma.f64 (*.f64 (cbrt.f64 2) (+.f64 (*.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (*.f64 1/6 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 4)))) x (fma.f64 (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 16 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 1/4) (*.f64 (/.f64 (+.f64 1/6 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 16)) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (+.f64 (/.f64 48 (pow.f64 (sqrt.f64 2) 10)) (+.f64 (fma.f64 8/3 (*.f64 (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18))) (*.f64 64/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46))))) -4/3))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) (*.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) -1/27))))) (pow.f64 x 3) (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 16) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (*.f64 (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3)) (cbrt.f64 1/2)))))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18)) 2/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 -1/36 (cbrt.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 1/2) 7))))))) (*.f64 x x))))))
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))) -1)
(fma.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))) -1)
(pow.f64 (sqrt.f64 2) 4)
4
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (pow.f64 (sqrt.f64 2) 4))
(fma.f64 -4 (*.f64 x (pow.f64 (sqrt.f64 2) 2)) (pow.f64 (sqrt.f64 2) 4))
(fma.f64 -8 x 4)
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (+.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 x 2))))
(+.f64 (fma.f64 -4 (*.f64 x (pow.f64 (sqrt.f64 2) 2)) (pow.f64 (sqrt.f64 2) 4)) (*.f64 (*.f64 x x) (+.f64 4 (*.f64 (*.f64 2 (pow.f64 (sqrt.f64 2) 2)) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))))
(fma.f64 -8 x (fma.f64 (*.f64 x x) (fma.f64 4 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) 4) 4))
(fma.f64 -8 x (fma.f64 (*.f64 x x) 12 4))
(+.f64 (*.f64 -4 (*.f64 (pow.f64 (sqrt.f64 2) 2) x)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -1 (+.f64 4/3 (*.f64 -1 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))))))) (*.f64 -4 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)))) (pow.f64 x 3)) (+.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 (+.f64 4 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))) (pow.f64 x 2)))))
(fma.f64 -4 (*.f64 x (pow.f64 (sqrt.f64 2) 2)) (fma.f64 (fma.f64 2 (*.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 -1 (+.f64 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)) (+.f64 4/3 (neg.f64 (/.f64 (-.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))) (*.f64 (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) -4)) (pow.f64 x 3) (+.f64 (pow.f64 (sqrt.f64 2) 4) (*.f64 (*.f64 x x) (+.f64 4 (*.f64 (*.f64 2 (pow.f64 (sqrt.f64 2) 2)) (-.f64 (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2))))))))
(fma.f64 -8 x (fma.f64 (pow.f64 x 3) (fma.f64 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) -4 (*.f64 -4 (+.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2) 2)) (-.f64 4/3 (-.f64 1 (/.f64 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2) 2)))))) (fma.f64 (*.f64 x x) (fma.f64 4 (-.f64 5/2 (pow.f64 (/.f64 -1 (sqrt.f64 2)) 2)) 4) 4)))
(fma.f64 -8 x (fma.f64 (pow.f64 x 3) -40/3 (fma.f64 (*.f64 x x) 12 4)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)
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(+.f64 (*.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (*.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46)) 1/18))) x))) (*.f64 (cbrt.f64 16) (+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 4) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3))))) (*.f64 -1/3 (*.f64 (cbrt.f64 4) (*.f64 (pow.f64 x 3) (+.f64 (/.f64 48 (pow.f64 (sqrt.f64 2) 10)) (+.f64 (fma.f64 8/3 (*.f64 (+.f64 1/4 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 104)) 1/18)) -16/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 34)) 1/18))) (*.f64 64/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 46))))) -4/3))))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))))

eval401.0ms (4.7%)

Compiler

Compiled 11883 to 10063 computations (15.3% saved)

prune81.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New5047511
Fresh011
Picked101
Done235
Total50711518
Error
0b
Counts
518 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
▶28.3b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
32.2b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
47.4b
-1
▶28.3b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓59.4b
(+.f64 (+.f64 1 x) -1)
▶28.4b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓29.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
27.8b
x
▶59.9b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
▶31.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Compiler

Compiled 212 to 177 computations (16.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
11.7b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(*.f64 (+.f64 x 2) x)
✓11.7b
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
790×add-log-exp_binary64
789×log1p-expm1-u_binary64
789×expm1-log1p-u_binary64
776×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
113920
2203320
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(*.f64 (+.f64 x 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x 2) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 1 (/.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (*.f64 x (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 -2 (neg.f64 x))) (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))))

simplify168.0ms (2%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
558×fabs-mul_binary64
523×pow-sqr_binary64
481×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0696
11487
22887
35087
410987
529987
6104887
7219687
8254387
9273587
10294587
11325387
12366287
13414587
14471787
15541787
16626587
17666087
18694887
19722687
20729887
21733487
Stop Event
1×node limit
Counts
86 → 69
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(*.f64 x (+.f64 x 2))

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
11.7b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓11.7b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
882×pow1_binary64
830×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
11805
225665
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 (pow.f64 x -1) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1660
Stop Event
1×saturated
Counts
105 → 83
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
11.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
0.0b
(/.f64 1 (+.f64 x 2))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(/.f64 1 (+.f64 x 2))
✓11.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
880×pow1_binary64
823×add-log-exp_binary64
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117520
2227520
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))))))

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
753×fma-def_binary64
741×associate-*l*_binary64
503×associate-*r*_binary64
415×times-frac_binary64
282×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033195
192189
2232189
3644183
41925180
57426180
Stop Event
1×node limit
Counts
74 → 65
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x -1/4 1/2))
(fma.f64 x -1/4 (fma.f64 x (*.f64 x 1/8) 1/2))
(fma.f64 x (fma.f64 x 1/8 -1/4) 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1/2 (*.f64 x -1/4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x -1/16 1/8)) (fma.f64 x -1/4 1/2))
(fma.f64 x (fma.f64 x (fma.f64 x -1/16 1/8) -1/4) 1/2)
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 4 (/.f64 -8 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -8 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 4 (/.f64 -8 x))))

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
11.7b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
3.8b
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
0.0b
(*.f64 (+.f64 x -1) (+.f64 x -1))
0.0b
(-.f64 1 (+.f64 x -1))
✓0.0b
(-.f64 1 (+.f64 x -1))
✓0.0b
(*.f64 (+.f64 x -1) (+.f64 x -1))
✓3.8b
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
✓11.7b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
Compiler

Compiled 44 to 34 computations (22.7% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite109.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
731×prod-diff_binary64
483×log-prod_binary64
376×fma-def_binary64
270×pow2_binary64
210×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0943
121425
2329422
Stop Event
1×node limit
Counts
4 → 300
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1)))
(*.f64 (+.f64 x -1) (+.f64 x -1))
(-.f64 1 (+.f64 x -1))
Outputs
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(pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) 2))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) 2))) (/.f64 (cbrt.f64 (-.f64 2 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) 2))) (/.f64 (sqrt.f64 (-.f64 2 x)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (/.f64 (-.f64 2 x) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (/.f64 (cbrt.f64 (-.f64 2 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (/.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 6))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x -1) 4))) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 4))) (pow.f64 (hypot.f64 1 (+.f64 x -1)) 2) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) 1)))))

simplify99.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
736×fma-def_binary64
413×fma-neg_binary64
410×distribute-rgt-neg-in_binary64
356×distribute-lft-neg-in_binary64
351×neg-sub0_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
016281
136255
267210
3127210
4334210
51008210
62196210
74069210
85299210
96275202
107586202
Stop Event
1×node limit
Counts
348 → 318
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(fma.f64 x 2 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (-.f64 2 x))
(*.f64 x (+.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 x -2)))
(fma.f64 x (+.f64 x -2) 1)
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(*.f64 -1 x)
x
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(*.f64 -1 x)
x
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 x 2)

localize24.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.9b
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
0.3b
(log1p.f64 (exp.f64 (*.f64 x -2)))
0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓0.0b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
✓0.3b
(log1p.f64 (exp.f64 (*.f64 x -2)))
✓3.9b
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
Compiler

Compiled 36 to 30 computations (16.7% saved)

series58.0ms (0.7%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
38.0ms
x
@inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
17.0ms
x
@-inf
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
2.0ms
x
@0
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
0.0ms
x
@0
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
0.0ms
x
@inf
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
851×add-log-exp_binary64
851×expm1-log1p-u_binary64
849×log1p-expm1-u_binary64
832×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
119736
2231736
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (/.f64 1 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))) (neg.f64 (+.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule 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(log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 3) 1) (+.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) (+.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))) 1) (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)))))))

simplify69.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
685×fma-def_binary64
585×distribute-rgt-neg-in_binary64
508×unswap-sqr_binary64
463×associate-*l*_binary64
358×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056429
1144424
2334422
3961418
43465418
56755418
Stop Event
1×node limit
Counts
104 → 94
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 -1/45 (pow.f64 x 6) x)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/12) -1/2) (fma.f64 -1/45 (pow.f64 x 6) x))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (neg.f64 x)))
(-.f64 (fma.f64 (*.f64 x x) 1/2 (log.f64 2)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) (log.f64 2)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/12 (neg.f64 x)) (fma.f64 (*.f64 x x) 1/2 (log.f64 2)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/12 (-.f64 (log.f64 2) x)))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (pow.f64 x 4) -1/12 (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 -2) x))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(-.f64 (exp.f64 (-.f64 (log.f64 2) (log.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))) 1)
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

eval529.0ms (6.3%)

Compiler

Compiled 14181 to 11448 computations (19.3% saved)

prune97.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New6727679
Fresh033
Picked011
Done437
Total67614690
Error
0b
Counts
690 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
▶29.3b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
27.9b
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
27.9b
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
▶32.2b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
47.4b
-1
✓59.4b
(+.f64 (+.f64 1 x) -1)
▶27.1b
(/.f64 (*.f64 2 x) (+.f64 x 2))
59.4b
(+.f64 (+.f64 x -1) 1)
✓29.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
27.8b
x
▶27.1b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
✓31.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
▶27.9b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 239 to 199 computations (16.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
811×pow1_binary64
763×add-log-exp_binary64
762×log1p-expm1-u_binary64
762×expm1-log1p-u_binary64
749×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113910
2197710
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (+.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 2 x) (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (+.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 2 (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 x) (/.f64 1 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 2 x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) (sqrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 2 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 2 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 2 x))) (/.f64 x (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 2 x))) (/.f64 2 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (+.f64 2 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (+.f64 4 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 x) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 x) (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 2 x) (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 x) (*.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 x) (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (+.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 2 x) (+.f64 2 x))))))))

simplify51.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
798×distribute-neg-frac_binary64
531×associate-/r*_binary64
368×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033144
195144
2236144
3662138
42155138
56078138
Stop Event
1×node limit
Counts
55 → 57
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) x))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 x))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 x))
✓0.2b
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
348×pow1_binary64
336×add-sqr-sqrt_binary64
328×*-un-lft-identity_binary64
323×add-log-exp_binary64
323×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11051
29971
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
59 → 48
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
798×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
784×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117410
2221810
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))))

simplify50.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
798×distribute-neg-frac_binary64
531×associate-/r*_binary64
368×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033144
195144
2236144
3662138
42155138
56078138
Stop Event
1×node limit
Counts
38 → 40
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) x))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 x))))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
0.0b
(*.f64 (+.f64 x 2) x)
0.0b
(*.f64 (+.f64 x 2) x)
✓0.1b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@0
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@-inf
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))

rewrite65.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
541×log-prod_binary64
493×prod-diff_binary64
382×pow-prod-down_binary64
293×pow2_binary64
275×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
123114
2309414
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1) (*.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 3) (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) 2) (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) 2)) (-.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> 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(fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x 2) 1/2) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) (*.f64 x 1/2) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (*.f64 (cbrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))) 2) (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))) (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (+.f64 x 2) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) x) (+.f64 x 2) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) x) -1/4 (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (+.f64 x 2)) x (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1/4) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/16))) (cbrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))))

simplify163.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
531×cube-prod_binary64
473×fabs-mul_binary64
444×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0787
11887
23687
37487
414287
537387
6128287
7199087
8207787
9221087
10236887
11260987
12293187
13335487
14385787
15445987
16517987
17550287
18578687
19600887
20619087
21627287
22721287
Stop Event
1×node limit
Counts
76 → 68
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
Outputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)

localize44.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
0.0b
(/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))
0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
0.0b
(+.f64 1 (exp.f64 (*.f64 x -2)))
✓0.0b
(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)))
✓0.0b
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
0.2b
(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
✓4.1b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
Compiler

Compiled 101 to 82 computations (18.8% saved)

series13.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
3.0ms
x
@inf
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
3.0ms
x
@-inf
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
1.0ms
x
@0
(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)))
0.0ms
x
@0
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)

rewrite82.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
630×log-prod_binary64
371×pow2_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
250×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01963
138944
2403344
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)
(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2)))
Outputs
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(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))))) (#(struct:change 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(exp.f64 x) -2)) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -4) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 4)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))))))

simplify107.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
616×fma-def_binary64
438×*-commutative_binary64
385×times-frac_binary64
319×associate-/l*_binary64
308×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551569
14601542
215581465
366241439
479581439
Stop Event
1×node limit
Counts
152 → 145
Calls
Call 1
Inputs
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (+.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 x 3))))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
4
(+.f64 (*.f64 -8 x) 4)
(+.f64 (*.f64 -8 x) (+.f64 4 (*.f64 12 (pow.f64 x 2))))
(+.f64 (*.f64 -8 x) (+.f64 4 (+.f64 (*.f64 -40/3 (pow.f64 x 3)) (*.f64 12 (pow.f64 x 2)))))
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(*.f64 (cbrt.f64 1/4) (cbrt.f64 4))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) (*.f64 (cbrt.f64 4) (pow.f64 x 3))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
Outputs
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) 1)
(fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)
(fma.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) -1)
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) 1)
(+.f64 (*.f64 (*.f64 1/6 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) x) (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1))
(fma.f64 (*.f64 1/6 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) x (fma.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) -1))
(fma.f64 1/6 (*.f64 x (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) (fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) 1)
(+.f64 (fma.f64 (fma.f64 1/36 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 -1/36 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (cbrt.f64 1/4)) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (*.f64 1/3 (/.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (*.f64 x x) (fma.f64 (*.f64 1/6 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) x (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) -1)
(fma.f64 (fma.f64 1/36 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2)))))) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) -1/36)))) (*.f64 x x) (fma.f64 (*.f64 1/6 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) x (fma.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) -1)))
(fma.f64 x (*.f64 x (fma.f64 1/3 (*.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4)) (cbrt.f64 1/2)) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 1/36 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 (cbrt.f64 1/4) (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))))) (fma.f64 1/6 (*.f64 x (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) (fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)))
(fma.f64 x (*.f64 x (fma.f64 1/3 (*.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 1/36 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 (cbrt.f64 1/4) (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))))) (fma.f64 1/6 (*.f64 x (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) (fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))) x) (+.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 -1/216 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 x 3))))) 1)
(+.f64 (fma.f64 (fma.f64 1/36 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 -1/36 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (cbrt.f64 1/4)) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) (*.f64 1/3 (/.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))))))) (*.f64 x x) (fma.f64 (*.f64 1/6 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4)))) (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) x (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (fma.f64 -1/3 (/.f64 (+.f64 1/6 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 1/3 (*.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (fma.f64 -1/216 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))))) (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4)))))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 -1/3 (/.f64 (+.f64 1/6 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -1/36))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))))))) (pow.f64 x 3))))) -1)
(+.f64 (fma.f64 (fma.f64 1/36 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2)))))) (fma.f64 1/3 (*.f64 (/.f64 (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) -1/36)))) (*.f64 x x) (fma.f64 (*.f64 1/6 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) x (fma.f64 (fma.f64 -1/3 (/.f64 (+.f64 1/6 (fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))))) (fma.f64 -1/216 (*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7)))))) (fma.f64 -1/3 (/.f64 (+.f64 1/6 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))))) (*.f64 1/18 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12))))))))) (pow.f64 x 3) (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) -1)
(+.f64 (fma.f64 1/6 (*.f64 x (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))) (fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) -1)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (pow.f64 (cbrt.f64 1/4) 2)) (+.f64 1/6 (fma.f64 1/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 1/18 (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4))) (fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 1/6 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 4) (*.f64 -1/216 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))))))))))) (fma.f64 1/3 (*.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4)) (cbrt.f64 1/2)) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 1/36 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 (cbrt.f64 1/4) (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))))))
(+.f64 (fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2))) (*.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) (*.f64 1/6 x))) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (/.f64 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/18)) (pow.f64 (cbrt.f64 1/4) 2)) (/.f64 (+.f64 -1/18 (*.f64 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/3)) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 1/4))))) (*.f64 (cbrt.f64 2) (+.f64 (/.f64 (+.f64 -1/18 (*.f64 (fma.f64 1/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2))) -1/3)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 4) (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 4) (*.f64 -1/216 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7)))))))))) (fma.f64 1/3 (*.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4))) (*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 (*.f64 1/36 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 (cbrt.f64 1/4) (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))))) -1))
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(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
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(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
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(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) -1)
(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
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(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)))) (*.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
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(-.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
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4
(+.f64 (*.f64 -8 x) 4)
(fma.f64 -8 x 4)
(fma.f64 x -8 4)
(+.f64 (*.f64 -8 x) (+.f64 4 (*.f64 12 (pow.f64 x 2))))
(+.f64 (fma.f64 -8 x 4) (*.f64 (*.f64 x x) 12))
(fma.f64 x -8 (fma.f64 (*.f64 x x) 12 4))
(fma.f64 x -8 (fma.f64 x (*.f64 x 12) 4))
(+.f64 (*.f64 -8 x) (+.f64 4 (+.f64 (*.f64 -40/3 (pow.f64 x 3)) (*.f64 12 (pow.f64 x 2)))))
(+.f64 (fma.f64 -8 x 4) (fma.f64 -40/3 (pow.f64 x 3) (*.f64 (*.f64 x x) 12)))
(+.f64 (fma.f64 x -8 4) (fma.f64 (pow.f64 x 3) -40/3 (*.f64 x (*.f64 x 12))))
(fma.f64 x -8 (fma.f64 (pow.f64 x 3) -40/3 (fma.f64 x (*.f64 x 12) 4)))
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
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(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)
(*.f64 (cbrt.f64 1/4) (cbrt.f64 4))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 4) x)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(fma.f64 (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 (cbrt.f64 4) x) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(*.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (*.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (*.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (*.f64 (cbrt.f64 4) (*.f64 x x))) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/6 (*.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 1/3 (/.f64 (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 4) (*.f64 x x)))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (cbrt.f64 4))) (*.f64 x x)) (*.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (*.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))
(fma.f64 (cbrt.f64 1/4) (cbrt.f64 4) (*.f64 (cbrt.f64 4) (+.f64 (*.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (/.f64 (*.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 x x))))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) (*.f64 (cbrt.f64 4) (pow.f64 x 3))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 (cbrt.f64 4) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (/.f64 (+.f64 1/6 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 1/3 (*.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 4) (pow.f64 x 3)))) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (*.f64 (+.f64 1/4 (*.f64 -1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (*.f64 (cbrt.f64 4) (*.f64 x x))) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (*.f64 (/.f64 (+.f64 1/6 (fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)))) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (cbrt.f64 4) (pow.f64 x 3))) (fma.f64 1/6 (*.f64 (cbrt.f64 4) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 1/3 (/.f64 (+.f64 1/4 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 (cbrt.f64 4) (*.f64 x x)))) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 4) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/4) 2)) (+.f64 1/6 (fma.f64 1/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (cbrt.f64 4))) (*.f64 x x)) (*.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (*.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))))
(+.f64 (*.f64 (cbrt.f64 4) (+.f64 (/.f64 (+.f64 -1/18 (*.f64 (fma.f64 1/3 (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2))) -1/3)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 x 3))) (/.f64 (*.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (*.f64 x x))))) (*.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (*.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)) 1/3) (cbrt.f64 4))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))

eval254.0ms (3%)

Compiler

Compiled 9713 to 7911 computations (18.6% saved)

prune71.0ms (0.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4607467
Fresh055
Picked101
Done358
Total46417481
Error
0b
Counts
481 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
28.8b
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
✓59.4b
(+.f64 (+.f64 1 x) -1)
✓31.8b
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
✓29.3b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
27.9b
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
27.9b
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
59.7b
(*.f64 (*.f64 x 2) (/.f64 1 x))
✓29.0b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
32.0b
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)
✓31.8b
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
59.4b
(+.f64 (+.f64 x -1) 1)
60.6b
(+.f64 2 (/.f64 -4 x))
59.7b
2
47.4b
-1
27.8b
x
60.9b
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
29.3b
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
Compiler

Compiled 186 to 154 computations (17.2% saved)

regimes339.0ms (4%)

Counts
29 → 3
Calls
Call 1
Inputs
2
-1
x
(+.f64 2 (/.f64 -4 x))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 1 x) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (exp.f64 (*.f64 x -2))) 2))) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))) -1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)
Calls

12 calls:

90.0ms
y
74.0ms
x
40.0ms
(*.f64 -2 x)
38.0ms
(*.f64 -2 x)
16.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0b3x
21.8b4y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
0b3(*.f64 -2 x)
Compiler

Compiled 380 to 309 computations (18.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001047200678512747
0.46997337574724385
0.0ms
-255.6411123516847
-0.00014707190865830236
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes625.0ms (7.4%)

Counts
26 → 3
Calls
Call 1
Inputs
2
-1
x
(+.f64 2 (/.f64 -4 x))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 1 x) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
Outputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))
Calls

12 calls:

154.0ms
y
112.0ms
(*.f64 -2 x)
61.0ms
(*.f64 -2 x)
38.0ms
x
33.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.0b3x
21.8b4y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 316 to 255 computations (19.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001047200678512747
0.46997337574724385
0.0ms
-255.6411123516847
-0.00014707190865830236
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes261.0ms (3.1%)

Counts
24 → 3
Calls
Call 1
Inputs
2
-1
x
(+.f64 2 (/.f64 -4 x))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 1 x) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)
Calls

12 calls:

50.0ms
y
46.0ms
(*.f64 -2 x)
38.0ms
x
36.0ms
(*.f64 -2 x)
27.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.0b3x
21.8b4y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 298 to 239 computations (19.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0001047200678512747
0.46997337574724385
0.0ms
-255.6411123516847
-0.00014707190865830236
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes292.0ms (3.5%)

Counts
22 → 2
Calls
Call 1
Inputs
2
-1
x
(+.f64 2 (/.f64 -4 x))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 1 x) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
(/.f64 (*.f64 2 x) (+.f64 x 2))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(+.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) -1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 x 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
(/.f64 (*.f64 2 x) (+.f64 x 2))
-1
Calls

4 calls:

146.0ms
y
76.0ms
x
31.0ms
(*.f64 -2 x)
25.0ms
(*.f64 -2 x)
Results
ErrorSegmentsBranch
12.3b2x
24.7b5y
12.3b2(*.f64 -2 x)
12.3b2(*.f64 -2 x)
Compiler

Compiled 206 to 157 computations (23.8% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.46997337574724385
16229448.979450118
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes91.0ms (1.1%)

Counts
8 → 3
Calls
Call 1
Inputs
2
-1
x
(+.f64 2 (/.f64 -4 x))
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(+.f64 (+.f64 1 x) -1)
(*.f64 (*.f64 x 2) (/.f64 1 x))
Outputs
-1
x
(+.f64 2 (/.f64 -4 x))
Calls

2 calls:

61.0ms
y
26.0ms
x
Results
ErrorSegmentsBranch
11.8b3x
25.3b5y
Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch70.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
7.353595432915118e-5
127.82055617584236
49.0ms
-8114724.489725059
-0.23498668787362192
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes31.0ms (0.4%)

Counts
3 → 3
Calls
Call 1
Inputs
2
-1
x
Outputs
-1
x
2
Calls

2 calls:

19.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
11.8b3x
25.3b5y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
7.353595432915118e-5
127.82055617584236
20.0ms
-8114724.489725059
-0.23498668787362192
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes32.0ms (0.4%)

Accuracy

Total -18.4b remaining (-41.4%)

Threshold costs -18.4b (-41.4%)

Counts
2 → 2
Calls
Call 1
Inputs
2
-1
Outputs
-1
2
Calls

2 calls:

25.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
44.4b2x
47.4b1y
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch85.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
85.0ms
-5.319024344387354e-296
2.7450793099694066e-299
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
4×*-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0634294967476
1764294967476
2794294967476
3814294967476
4824294967476
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) 1/2) (/.f64 (*.f64 2 x) (+.f64 x 2)) -1)
(if (<=.f64 x -4356559537427427/536870912) -1 (if (<=.f64 x 5425995718903383/73786976294838206464) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -4356559537427427/536870912) -1 (if (<=.f64 x 5425995718903383/73786976294838206464) x 2))
(if (<=.f64 x -4895730456612187/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 2)
2
Outputs
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2/3) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 x -2)))))))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (exp.f64 (*.f64 -2 x)))))))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) -200) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1) (if (<=.f64 (*.f64 -2 x) 7378697629483821/36893488147419103232) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)))
(if (<=.f64 (*.f64 -2 x) 1/2) (/.f64 (*.f64 2 x) (+.f64 x 2)) -1)
(if (<=.f64 (*.f64 -2 x) 1/2) (/.f64 (*.f64 x 2) (+.f64 x 2)) -1)
(if (<=.f64 x -4356559537427427/536870912) -1 (if (<=.f64 x 5425995718903383/73786976294838206464) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -4356559537427427/536870912) -1 (if (<=.f64 x 5425995718903383/73786976294838206464) x 2))
(if (<=.f64 x -4895730456612187/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) -1 2)
2
Compiler

Compiled 190 to 159 computations (16.3% saved)

soundness469.0ms (5.5%)

Algorithm
4×egg-herbie
Rules
981×times-frac_binary64
981×times-frac_binary64
981×times-frac_binary64
943×distribute-rgt-in_binary64
942×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
02523286
17822700
229392115
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 513 to 455 computations (11.3% saved)

end180.0ms (2.1%)

Compiler

Compiled 176 to 145 computations (17.6% saved)

Profiling

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