Details

Time bar (total: 11.6s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 66 to 53 computations (19.7% saved)

sample3.1s (26.9%)

Results
3.1s8256×body256valid
Bogosity

preprocess64.0ms (0.6%)

Algorithm
egg-herbie
Rules
578×times-frac_binary64
564×cancel-sign-sub-inv_binary64
389×fma-def_binary64
376×distribute-rgt-in_binary64
367×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02793
19169
234469
3105869
4434269
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Outputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
578×times-frac_binary64
564×cancel-sign-sub-inv_binary64
389×fma-def_binary64
376×distribute-rgt-in_binary64
367×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02793
19169
234469
3105869
4434269
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Outputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))))))) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (pow.f64 (exp.f64 x) x)) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 (-.f64 -31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (pow.f64 (exp.f64 x) x)))

eval4.0ms (0%)

Compiler

Compiled 111 to 86 computations (22.5% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
12.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 65 to 52 computations (20% saved)

localize228.0ms (2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
0.7b
(+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
12.3b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 447 to 340 computations (23.9% saved)

series31.0ms (0.3%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
8.0ms
x
@0
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms
x
@-inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms
x
@0
(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
1.0ms
x
@-inf
(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))

rewrite120.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
321×add-sqr-sqrt_binary64
305×*-un-lft-identity_binary64
305×pow1_binary64
302×add-log-exp_binary64
301×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027131
164295
Stop Event
node limit
Counts
4 → 104
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
(*.f64 3275911/10000000 (fabs.f64 x))
(+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 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simplify144.0ms (1.2%)

Algorithm
egg-herbie
Rules
611×div-sub_binary64
568×fma-def_binary64
463×distribute-rgt-in_binary64
449×distribute-lft-in_binary64
347×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0771476
12421452
24401428
313821428
472341428
Stop Event
node limit
Counts
140 → 114
Calls
Call 1
Inputs
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(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
Outputs
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))
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(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
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(-.f64 (*.f64 1061405429/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) 1453152027/1000000000)
(+.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) -1453152027/1000000000)
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
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(-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (-.f64 1421413741/1000000000 (/.f64 1453152027/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))

eval307.0ms (2.6%)

Compiler

Compiled 11309 to 8633 computations (23.7% saved)

prune130.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New15511166
Fresh000
Picked011
Done000
Total15512167
Error
12.3b
Counts
167 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
13.8b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
12.6b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
47.3b
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))
12.4b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
47.3b
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
47.3b
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
48.0b
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
12.4b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
47.3b
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
12.4b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
13.4b
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
47.3b
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
Compiler

Compiled 1459 to 1194 computations (18.2% saved)

localize157.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))
0.6b
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))
0.7b
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
12.3b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
Compiler

Compiled 312 to 230 computations (26.3% saved)

series64.0ms (0.6%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
14.0ms
x
@0
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
7.0ms
x
@inf
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
2.0ms
x
@0
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
2.0ms
x
@inf
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))

rewrite138.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
345×add-sqr-sqrt_binary64
331×add-log-exp_binary64
330×log1p-expm1-u_binary64
330×expm1-log1p-u_binary64
327×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030144
1710114
Stop Event
node limit
Counts
4 → 101
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))))) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))) 2) (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x)))) 2)) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (exp.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) 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simplify148.0ms (1.3%)

Algorithm
egg-herbie
Rules
749×fma-neg_binary64
682×times-frac_binary64
624×associate--l+_binary64
501×associate-+r+_binary64
487×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832693
16342657
217152284
372072284
Stop Event
node limit
Counts
149 → 123
Calls
Call 1
Inputs
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(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 9949896187/6000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (*.f64 7429838003/6000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (/.f64 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (-.f64 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) (*.f64 1/2 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))) (+.f64 (*.f64 62233661/187500000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (+.f64 (*.f64 3390688063/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (pow.f64 x 6)) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 (-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (*.f64 1061405429/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 1421413741/2000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (+.f64 (*.f64 8890523/62500000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 31853699/125000000 (-.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (pow.f64 x 4))))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1061405429/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 -1453152027/1000000000 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(/.f64 -1453152027/1000000000 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(/.f64 -1453152027/1000000000 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(/.f64 -1453152027/1000000000 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
Outputs
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))
(+.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (-.f64 1 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))
(+.f64 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (-.f64 (+.f64 1 (/.f64 -31853699/125000000 (fma.f64 3275911/10000000 x 1))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
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(/.f64 -1453152027/1000000000 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))

localize125.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
0.5b
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
0.7b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
12.4b
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
Compiler

Compiled 280 to 225 computations (19.6% saved)

series23.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
12.0ms
x
@0
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
5.0ms
x
@inf
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms
x
@-inf
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
1.0ms
x
@inf
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
1.0ms
x
@inf
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))

rewrite172.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
952×prod-diff_binary64
279×add-sqr-sqrt_binary64
264×add-log-exp_binary64
263×pow1_binary64
263×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024101
155897
2781197
Stop Event
node limit
Counts
4 → 124
Calls
Call 1
Inputs
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
Outputs
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1)) (pow.f64 (exp.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1061405429/1000000000 (/.f64 1 (fma.f64 3275911/10000000 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2) (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1061405429/1000000000 (/.f64 1 (neg.f64 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1061405429/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 3275911/10000000 x 1) 1000000000/1061405429) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1126581484710674041/1000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1195759704082789921366768589/1000000000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1))))))

simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
618×associate-*l/_binary64
496×associate-*r/_binary64
396×fma-def_binary64
380×fma-neg_binary64
337×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0122732
1336702
21014668
33652629
Stop Event
node limit
Counts
172 → 181
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 -1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))))) (*.f64 -10000000/3275911 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))))
-195873299/500000000
(-.f64 (*.f64 -3477069720320819/10000000000000000 x) 195873299/500000000)
(-.f64 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (*.f64 -3477069720320819/10000000000000000 x)) 195873299/500000000)
(-.f64 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))) 195873299/500000000)
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
(-.f64 (+.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) 1453152027/1000000000))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
1061405429/1000000000
(+.f64 1061405429/1000000000 (*.f64 -3477069720320819/10000000000000000 x))
(+.f64 1061405429/1000000000 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (*.f64 -3477069720320819/10000000000000000 x)))
(+.f64 1061405429/1000000000 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1061405429/327591100 x)
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1061405429/327591100 x)
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (*.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000) 1/1000000000))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 564193179035109/500000000000000 x (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (*.f64 (*.f64 x x) (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000)))))
(+.f64 1/1000000000 (*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x 1881321463217960143956490654523/1000000000000000000000000000000))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(fma.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 x x)) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))))
(-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 1 (/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x -53932632800000/10731592879921)) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))))))
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(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(/.f64 1061405429/327591100 x)
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (/.f64 106140542900000/10731592879921 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1061405429000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1061405429/327591100 (/.f64 1 x))) (+.f64 (*.f64 106140542900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 10614054290000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 106140542900000/10731592879921 (*.f64 x x)) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (/.f64 1061405429/327591100 x) (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (/.f64 10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))
(+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -106140542900000/10731592879921 (*.f64 x x)) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1061405429/327591100 x) (+.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -106140542900000/10731592879921 (*.f64 x x)))) (/.f64 -10614054290000000000000000000/115167085740371102724966241 (pow.f64 x 4)))

localize153.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
0.7b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
0.9b
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
10.5b
(log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
Compiler

Compiled 321 to 256 computations (20.2% saved)

series22.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
3.0ms
x
@-inf
(log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
2.0ms
x
@inf
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
1.0ms
x
@-inf
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
1.0ms
x
@0
(log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))

rewrite144.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
712×prod-diff_binary64
279×add-sqr-sqrt_binary64
265×add-log-exp_binary64
264×pow1_binary64
264×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025122
1563117
27651117
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))) (log.f64 (sqrt.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 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simplify120.0ms (1%)

Algorithm
egg-herbie
Rules
882×fma-def_binary64
506×associate-+l+_binary64
472×associate-*l*_binary64
457×associate-*r*_binary64
430×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631459
14431308
215571164
376791164
Stop Event
node limit
Counts
67 → 78
Calls
Call 1
Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (+.f64 (*.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2)) (*.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (*.f64 -382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 -6 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))))) (pow.f64 x 3))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (*.f64 -382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 -6 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))))) (pow.f64 x 3))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/24 (/.f64 (+.f64 (*.f64 -1528977552/81897775 (*.f64 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 -24 (-.f64 (*.f64 -45804762450000000000000000000/115167085740371102724966241 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))))) (+.f64 (*.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (pow.f64 x 2)) 4)) (+.f64 (*.f64 -12 (pow.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)) (*.f64 -97407181438329696/6707245549950625 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))))) (pow.f64 x 4))))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (pow.f64 x 3))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 1/24 (/.f64 (+.f64 (*.f64 1528977552/81897775 (*.f64 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 -24 (-.f64 (*.f64 -45804762450000000000000000000/115167085740371102724966241 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))))) (+.f64 (*.f64 -98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (pow.f64 x 2)) 4)) (+.f64 (*.f64 -12 (pow.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) 2)) (*.f64 -97407181438329696/6707245549950625 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))))) (pow.f64 x 4))))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(+.f64 (*.f64 -129282459915622549964396/1647925460758822642078125 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))) (+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (+.f64 (*.f64 -382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 -6 (-.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))))) (pow.f64 x 3))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 -31853699/81897775 (/.f64 (*.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2))) (pow.f64 x 3)))))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 31853699/81897775 (*.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (*.f64 1/6 (+.f64 (*.f64 -6 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))))
Outputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(fma.f64 564193179035109/500000 x (log.f64 1/1000000000))
(+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2))))
(fma.f64 564193179035109/500000 x (+.f64 (log.f64 1/1000000000) (*.f64 -12732557770792067124649954543919/20000000000000 (*.f64 x x))))
(fma.f64 564193179035109/500000 x (fma.f64 -12732557770792067124649954543919/20000000000000 (*.f64 x x) (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557770792067124649954543919/20000000000000) (log.f64 1/1000000000)))
(+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (+.f64 (*.f64 -12732557770792067124649954543919/20000000000000 (pow.f64 x 2)) (*.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (fma.f64 -12732557770792067124649954543919/20000000000000 (*.f64 x x) (*.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557770792067124649954543919/20000000000000) (fma.f64 478908150482392519071679818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))
(*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x))
(*.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x))
(*.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(fma.f64 1/2 (/.f64 (fma.f64 -2 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)))
(fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (*.f64 x x)) (*.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) -2029316279965202/6707245549950625)) (*.f64 x x)))
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(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (*.f64 x x)) (fma.f64 -129282459915622549964396/1647925460758822642078125 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 3) (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (*.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) (fma.f64 -31853699/81897775 (/.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) 107865265600000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 (-.f64 (*.f64 1/6 (fma.f64 -517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) 824617848714589056000/35155743162854883031))) (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031)) (pow.f64 x 3))))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
(+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2) (*.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)) 1)))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (*.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (*.f64 x x)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)))
(+.f64 (*.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 31853699/81897775 (*.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)) (*.f64 1/6 (+.f64 (*.f64 -6 (-.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 382244388/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (*.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x))))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2) (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 31853699/81897775 (*.f64 (exp.f64 (*.f64 x x)) (fma.f64 -2 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (fma.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (*.f64 x x)) 3) (*.f64 1/6 (fma.f64 -6 (-.f64 (*.f64 (exp.f64 (*.f64 x x)) -1705910477000000000000/35155743162854883031) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) -10000000/3275911)) (fma.f64 382244388/81897775 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921)) (*.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3) 517129839662490199857584/549308486919607547359375)))))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (fma.f64 -2 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)) 1))))
(fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 x x)) (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)) (/.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921))) 31853699/81897775 (fma.f64 1/6 (fma.f64 -6 (fma.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031 (*.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 517129839662490199857584/549308486919607547359375 (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -53932632800000/10731592879921) 382244388/81897775))) (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 129282459915622549964396/1647925460758822642078125))) (pow.f64 x 3))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 107865265600000/10731592879921 (*.f64 (pow.f64 (exp.f64 x) x) -4058632559930404/6707245549950625))) (*.f64 x x)) (fma.f64 2029316279965202/6707245549950625 (/.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 129282459915622549964396/1647925460758822642078125 (fma.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) 107865265600000/10731592879921) (*.f64 -4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) 31853699/81897775 (fma.f64 1/6 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) 517129839662490199857584/549308486919607547359375 (*.f64 (pow.f64 (exp.f64 x) (*.f64 2 x)) -824617848714589056000/35155743162854883031)) (neg.f64 (*.f64 (pow.f64 (exp.f64 x) x) -2245236805000000000000/35155743162854883031))))) (pow.f64 x 3)))

localize150.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
0.7b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
1.4b
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
12.4b
(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
Compiler

Compiled 363 to 296 computations (18.5% saved)

series13.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
4.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
3.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
1.0ms
x
@inf
(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
1.0ms
x
@-inf
(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))

rewrite110.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
299×add-sqr-sqrt_binary64
286×add-log-exp_binary64
285×log1p-expm1-u_binary64
285×expm1-log1p-u_binary64
283×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027118
1634118
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
Outputs
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1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))) 1))))))

simplify139.0ms (1.2%)

Algorithm
egg-herbie
Rules
692×distribute-rgt-in_binary64
675×distribute-lft-in_binary64
313×times-frac_binary64
307×associate-/r*_binary64
275×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961409
16081299
224051163
Stop Event
node limit
Counts
89 → 72
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 10000000/3275911 (/.f64 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3))) (*.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1705910477000000000000/35155743162854883031 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (*.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)) (+.f64 (*.f64 25482959200000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2)))) (pow.f64 x 3)))))) (*.f64 -28449673600000/10731592879921 (/.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))
(cbrt.f64 1/1000000000000000000000000000)
(+.f64 (*.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000000000000000000000))
(+.f64 (*.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000)))
(+.f64 (*.f64 564193179035109/500000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1436724431135022318737658315272547951785001588969/1000000000000000000000000000000000000000000000000 (+.f64 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (*.f64 564193179035109/250000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 5)) 1/3) (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 76395346264731119377981807445403/20000000000000000000000000000000000000000 (*.f64 954941829809227672932763925643/250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 1/1000000000000000000000000000)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 2))) (cbrt.f64 1/1000000000000000000000000000))))
1
(+.f64 1 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)) (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2))))) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2))))) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 20000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 -63707398/81897775 (*.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))) (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (*.f64 -254829592/81897775 (*.f64 (-.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 2/3 (*.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2))))))) (+.f64 (*.f64 3411820954000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 1/27 (pow.f64 (+.f64 (*.f64 -127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 -63707398/81897775 (exp.f64 (pow.f64 x 2)))) 3)))))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (pow.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2)) (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 63707398/81897775 (*.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))) (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))) (+.f64 (*.f64 -10000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 254829592/81897775 (*.f64 (-.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2)))) (exp.f64 (pow.f64 x 2)))) (*.f64 -20000000/3275911 (-.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2)))))))) (+.f64 (*.f64 -3411820954000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (pow.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2)) (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (pow.f64 x 2))) (*.f64 1/27 (pow.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) 3)))))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (+.f64 (*.f64 25482959200000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)) (*.f64 50965918400000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (+.f64 (*.f64 -28449673600000/10731592879921 (exp.f64 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (pow.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) 2)) (*.f64 -56899347200000/10731592879921 (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 127414796/81897775 (exp.f64 (pow.f64 x 2))) (*.f64 63707398/81897775 (exp.f64 (pow.f64 x 2)))) x)))))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (*.f64 x (*.f64 x -40002364818879768868679/20000000000000000000000))))
(+.f64 1/1000000000 (*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 -40002364818879768868679/20000000000000000000000 x))))
(+.f64 1/1000000000 (+.f64 (*.f64 -40002364818879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -40002364818879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 564193179035109/500000000000000 x (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 -40002364818879768868679/20000000000000000000000 (*.f64 1881321463217960143956490654523/1000000000000000000000000000000 x))) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (pow.f64 x 2)) x)))
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x)))
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1)
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(fma.f64 -1/3 (/.f64 (-.f64 (fma.f64 63707398/81897775 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2) (*.f64 (exp.f64 (*.f64 x x)) 50965918400000/10731592879921)) (*.f64 56899347200000/10731592879921 (exp.f64 (*.f64 x x))))) (fma.f64 -10000000/3275911 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (fma.f64 254829592/81897775 (*.f64 (exp.f64 (*.f64 x x)) (*.f64 (exp.f64 (*.f64 x x)) 53932632800000/10731592879921)) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) -20000000/3275911)))) (fma.f64 -3411820954000000000000/35155743162854883031 (exp.f64 (*.f64 x x)) (fma.f64 2/3 (*.f64 (*.f64 (exp.f64 (*.f64 x x)) 191122194/81897775) (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2) (fma.f64 25482959200000/10731592879921 (exp.f64 (*.f64 x x)) (fma.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2) (*.f64 (exp.f64 (*.f64 x x)) 50965918400000/10731592879921)))) (fma.f64 -28449673600000/10731592879921 (exp.f64 (*.f64 x x)) (fma.f64 1/3 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) 191122194/81897775) 2) (*.f64 (exp.f64 (*.f64 x x)) -56899347200000/10731592879921))))) (fma.f64 -1705910477000000000000/35155743162854883031 (exp.f64 (*.f64 x x)) (*.f64 1/27 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) 191122194/81897775) 3)))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2) (fma.f64 25482959200000/10731592879921 (exp.f64 (*.f64 x x)) (fma.f64 8117265119860808/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2) (*.f64 (exp.f64 (*.f64 x x)) 50965918400000/10731592879921)))) (fma.f64 -28449673600000/10731592879921 (exp.f64 (*.f64 x x)) (fma.f64 1/3 (pow.f64 (*.f64 (exp.f64 (*.f64 x x)) 191122194/81897775) 2) (*.f64 (exp.f64 (*.f64 x x)) -56899347200000/10731592879921)))) (*.f64 x x)) (*.f64 -1/3 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) 191122194/81897775) x)))))
(fma.f64 -1/3 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 x) x) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (*.f64 (pow.f64 (exp.f64 x) x) 107865265600000/10731592879921))) 63707398/81897775 (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) 539326328000000000000/35155743162854883031) (fma.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775 (*.f64 (pow.f64 (exp.f64 x) x) 1078652656000000000000/35155743162854883031)))) (fma.f64 (pow.f64 (exp.f64 x) x) -3411820954000000000000/35155743162854883031 (fma.f64 (*.f64 2/3 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (fma.f64 (pow.f64 (exp.f64 x) x) 25482959200000/10731592879921 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625 (*.f64 (pow.f64 (exp.f64 x) x) 50965918400000/10731592879921)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)) (*.f64 (pow.f64 (exp.f64 x) x) -85349020800000/10731592879921)))) (*.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) (fma.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031 (*.f64 1/27 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) 3)))))) (pow.f64 x 3)) (+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (fma.f64 (pow.f64 (exp.f64 x) x) 25482959200000/10731592879921 (fma.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625 (*.f64 (pow.f64 (exp.f64 x) x) 50965918400000/10731592879921)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)) (*.f64 (pow.f64 (exp.f64 x) x) -85349020800000/10731592879921))) (*.f64 x x)) (*.f64 -1/3 (/.f64 (pow.f64 (exp.f64 x) x) (/.f64 x 191122194/81897775))))))
(fma.f64 -1/3 (/.f64 (-.f64 (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 53932632800000/10731592879921) 254829592/81897775) (*.f64 (pow.f64 (exp.f64 x) x) 1617978984000000000000/35155743162854883031)) (*.f64 (pow.f64 (exp.f64 x) x) (-.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) 4058632559930404/6707245549950625) 107865265600000/10731592879921)) 63707398/81897775) -3411820954000000000000/35155743162854883031))) (fma.f64 (*.f64 2/3 (+.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625) (*.f64 (pow.f64 (exp.f64 x) x) 76448877600000/10731592879921)) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) 85349020800000/10731592879921) (*.f64 -1/3 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)))))) (*.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) (fma.f64 1/27 (pow.f64 (*.f64 (pow.f64 (exp.f64 x) x) 191122194/81897775) 3) (*.f64 (pow.f64 (exp.f64 x) x) -1705910477000000000000/35155743162854883031)))) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (/.f64 1/3 x) x) (+.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 8117265119860808/6707245549950625) (*.f64 (pow.f64 (exp.f64 x) x) 76448877600000/10731592879921)) (fma.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 (exp.f64 x) x) 85349020800000/10731592879921) (*.f64 -1/3 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) 36527693039373636/6707245549950625)))))) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) 191122194/81897775) 1)))

localize251.0ms (2.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
0.7b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
1.0b
(pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)
12.3b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 427 to 335 computations (21.5% saved)

series72.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
58.0ms
x
@inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
7.0ms
x
@0
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms
x
@-inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
348×add-sqr-sqrt_binary64
330×pow1_binary64
329×*-un-lft-identity_binary64
328×add-log-exp_binary64
327×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03194
172580
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 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simplify109.0ms (0.9%)

Algorithm
egg-herbie
Rules
459×fma-def_binary64
419×associate-/r*_binary64
357×associate-*l*_binary64
342×associate-*r*_binary64
297×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01871814
16161507
217841106
Stop Event
node limit
Counts
78 → 92
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 25143126548992314471974460887/200000000000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 3275911/5000000 (-.f64 (*.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 11390570944565894491109/100000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1686575430685116452561/6250000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
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(-.f64 (+.f64 1 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x)))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (*.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 (+.f64 1 (+.f64 (*.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) x))) (*.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (pow.f64 x 2))))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) x)))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (*.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/327591100 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) x))) (+.f64 (*.f64 -251455745600000/10731592879921 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 2)))) (*.f64 3575962885000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (pow.f64 x 3))))))) (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(pow.f64 (sqrt.f64 1029667143/1000000000) 2)
(+.f64 (*.f64 -2193742730720041/10000000000000000 x) (pow.f64 (sqrt.f64 1029667143/1000000000) 2))
(+.f64 (*.f64 (-.f64 (+.f64 928853844365085736173/5000000000000000000000 (*.f64 4812507168587022318622319041681/400000000000000000000000000000000 (/.f64 1 (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))) (pow.f64 (/.f64 -2193742730720041/20000000000000000 (sqrt.f64 1029667143/1000000000)) 2)) (pow.f64 x 2)) (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))
(+.f64 (*.f64 (-.f64 (+.f64 928853844365085736173/5000000000000000000000 (*.f64 4812507168587022318622319041681/400000000000000000000000000000000 (/.f64 1 (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))) (pow.f64 (/.f64 -2193742730720041/20000000000000000 (sqrt.f64 1029667143/1000000000)) 2)) (pow.f64 x 2)) (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (+.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (*.f64 (+.f64 (*.f64 -2193742730720041/20000000000000000 (/.f64 (-.f64 928853844365085736173/5000000000000000000000 (pow.f64 (/.f64 -2193742730720041/20000000000000000 (sqrt.f64 1029667143/1000000000)) 2)) (pow.f64 (sqrt.f64 1029667143/1000000000) 2))) (*.f64 -1 (+.f64 (*.f64 -2193742730720041/20000000000000000 (/.f64 (-.f64 928853844365085736173/5000000000000000000000 (pow.f64 (/.f64 -2193742730720041/20000000000000000 (sqrt.f64 1029667143/1000000000)) 2)) (pow.f64 (sqrt.f64 1029667143/1000000000) 2))) 98171347176541251569707947359/1000000000000000000000000000000))) (pow.f64 x 3)))))
(pow.f64 (sqrt.f64 1421413741/1000000000) 2)
(-.f64 (pow.f64 (sqrt.f64 1421413741/1000000000) 2) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2))) (pow.f64 (sqrt.f64 1421413741/1000000000) 2)) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1453152027/655182200 (/.f64 (-.f64 251455745600000/10731592879921 (pow.f64 (/.f64 -1453152027/655182200 (sqrt.f64 1421413741/1000000000)) 2)) (*.f64 (pow.f64 (sqrt.f64 1421413741/1000000000) 2) (pow.f64 x 3)))) (+.f64 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 3575962885000000000000/35155743162854883031 (*.f64 -1453152027/655182200 (/.f64 (-.f64 251455745600000/10731592879921 (pow.f64 (/.f64 -1453152027/655182200 (sqrt.f64 1421413741/1000000000)) 2)) (pow.f64 (sqrt.f64 1421413741/1000000000) 2)))) (pow.f64 x 3))) (pow.f64 (sqrt.f64 1421413741/1000000000) 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(pow.f64 (sqrt.f64 1421413741/1000000000) 2)
(-.f64 (pow.f64 (sqrt.f64 1421413741/1000000000) 2) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2))) (pow.f64 (sqrt.f64 1421413741/1000000000) 2)) (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2))) (pow.f64 (sqrt.f64 1421413741/1000000000) 2)) (+.f64 (*.f64 3575962885000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1453152027/327591100 (/.f64 1 x))))
Outputs
(-.f64 1 (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))))))
(-.f64 1 (/.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) 248281917/100000000) (-.f64 31853699/125000000 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) 31853699/125000000)) (*.f64 (fma.f64 3275911/10000000 x 1) (exp.f64 (*.f64 x x)))))
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 4760396709921597/10000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 3477069720320819/5000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (*.f64 x (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))))))) (/.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))))))
(-.f64 (-.f64 1 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) -2193742730720041/10000000000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (*.f64 x (exp.f64 (neg.f64 (*.f64 x x)))))) (/.f64 (+.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) 248281917/100000000) (-.f64 31853699/125000000 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (*.f64 x x))))))
(-.f64 (-.f64 1 (*.f64 (/.f64 x (exp.f64 (*.f64 x x))) (/.f64 (/.f64 -2193742730720041/10000000000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (fma.f64 3275911/10000000 x 1)))) (/.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) 1029667143/1000000000) (-.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 x 1)) 31853699/125000000)) (*.f64 (fma.f64 3275911/10000000 x 1) (exp.f64 (*.f64 x x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 4760396709921597/10000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 3477069720320819/5000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x)) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 11390570944565894491109/25000000000000000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1686575430685116452561/6250000000000000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2)))) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 4760396709921597/10000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 3477069720320819/5000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (*.f64 x (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))))) (neg.f64 (/.f64 (-.f64 (/.f64 11390570944565894491109/25000000000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1686575430685116452561/6250000000000000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x))))))) (/.f64 (-.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))))))
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eval1.3s (11.4%)

Compiler

Compiled 48659 to 38085 computations (21.7% saved)

prune158.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New8119820
Fresh426
Picked101
Done415
Total82012832
Error
0.6b
Counts
832 → 12
Alt Table
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StatusErrorProgram
12.4b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
32.7b
(exp.f64 (log.f64 1/1000000000))
13.4b
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
33.1b
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
12.4b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
12.6b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1029667143/1000000000))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
13.8b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
26.0b
1
13.7b
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
12.4b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
34.4b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
31.9b
1/1000000000
Compiler

Compiled 801 to 658 computations (17.9% saved)

localize160.0ms (1.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
0.6b
(/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4))
0.7b
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
12.3b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
Compiler

Compiled 329 to 243 computations (26.1% saved)

series12.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
2.0ms
x
@0
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
1.0ms
x
@inf
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms
x
@-inf
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
1.0ms
x
@0
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))

rewrite113.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
362×add-sqr-sqrt_binary64
347×add-log-exp_binary64
346×log1p-expm1-u_binary64
346×expm1-log1p-u_binary64
344×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032131
1766103
Stop Event
node limit
Counts
3 → 65
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 2) (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 2)) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))) 2) (/.f64 (+.f64 31853699/125000000 (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -4) (fma.f64 -1453152027/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -3) (fma.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) -2) (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 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simplify123.0ms (1.1%)

Algorithm
egg-herbie
Rules
626×associate--l+_binary64
564×associate-+r+_binary64
492×fma-def_binary64
484×associate--r+_binary64
320×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812602
16492449
218422108
Stop Event
node limit
Counts
97 → 83
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (+.f64 (*.f64 1061405429/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 1421413741/2000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/2000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (+.f64 (*.f64 8890523/62500000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 31853699/125000000 (-.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (pow.f64 x 4)) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 9949896187/6000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (+.f64 (*.f64 7429838003/6000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (/.f64 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (-.f64 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) (*.f64 1/2 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))) (+.f64 (*.f64 62233661/187500000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (+.f64 (*.f64 3390688063/2000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (+.f64 (*.f64 1061405429/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 1421413741/2000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/2000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (+.f64 (*.f64 8890523/62500000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 31853699/125000000 (-.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (pow.f64 x 4)) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4) (exp.f64 (pow.f64 x 2))))) (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (exp.f64 (pow.f64 x 2))))) (+.f64 1 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4) (exp.f64 (pow.f64 x 2))))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5) (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (exp.f64 (pow.f64 x 2))))) (*.f64 31853699/125000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (exp.f64 (pow.f64 x 2))))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(-.f64 (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
Outputs
(-.f64 (+.f64 1 (+.f64 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 (+.f64 1 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 1453152027/1000000000 (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))
(+.f64 (+.f64 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))) (-.f64 1 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))))))
(+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (+.f64 1 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) (+.f64 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 1453152027/1000000000 (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (*.f64 x x) (+.f64 (+.f64 1 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (/.f64 1453152027/1000000000 (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))))
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(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))
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(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))
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(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))
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(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))
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(+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2)) (+.f64 (/.f64 -8890523/31250000 (fma.f64 3275911/10000000 x 1)) (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))))
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(-.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))
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(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
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(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 3))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
0.2b
(*.f64 564193179035109/500000000000000 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 564193179035109/500000000000000 x)
0.0ms
x
@-inf
(*.f64 564193179035109/500000000000000 x)
0.0ms
x
@inf
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
0.0ms
x
@inf
(*.f64 564193179035109/500000000000000 x)
0.0ms
x
@-inf
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
618×add-log-exp_binary64
618×log1p-expm1-u_binary64
618×expm1-log1p-u_binary64
609×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11329
216069
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/1000000000000000000 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))) (/.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/1000000000000000000 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 564193179035109/500000000000000 x 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 2) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
saturated
Counts
46 → 45
Calls
Call 1
Inputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
Outputs
1/1000000000
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 1/1000000000 3)
2.6b
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
Compiler

Compiled 12 to 12 computations (0% saved)

series0.0ms (0%)

Counts
2 → 0

rewrite46.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
388×add-sqr-sqrt_binary64
379×pow1_binary64
368×*-un-lft-identity_binary64
367×add-log-exp_binary64
367×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072
11292
29812
Stop Event
node limit
Counts
2 → 2
Calls
Call 1
Inputs
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(pow.f64 1/1000000000 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1/1000000000000000000000000000)))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
2 → 2
Calls
Call 1
Inputs
Outputs

localize88.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
1.0b
(pow.f64 (sqrt.f64 1029667143/1000000000) 2)
1.0b
(sqrt.f64 1029667143/1000000000)
12.3b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 253 to 186 computations (26.5% saved)

series7.0ms (0.1%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms
x
@inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms
x
@-inf
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite115.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
399×expm1-udef_binary64
398×log1p-udef_binary64
259×add-sqr-sqrt_binary64
246×pow1_binary64
245×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02457
155143
2721643
Stop Event
node limit
Counts
3 → 50
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(sqrt.f64 1029667143/1000000000)
(pow.f64 (sqrt.f64 1029667143/1000000000) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))) (sqrt.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x . 1029667143/1000000000)))))

simplify78.0ms (0.7%)

Algorithm
egg-herbie
Rules
879×div-sub_binary64
708×fma-def_binary64
437×associate-/l/_binary64
396×associate-/r/_binary64
290×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037684
198600
2184576
3530576
42408576
57454576
Stop Event
node limit
Counts
62 → 54
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
Outputs
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
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(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -31853699/125000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -31853699/125000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (pow.f64 (exp.f64 x) x)))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))) (*.f64 8890523/31250000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 1 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (+.f64 31853699/125000000 (-.f64 (/.f64 (pow.f64 (sqrt.f64 1029667143/1000000000) 2) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (/.f64 8890523/31250000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))))))
(-.f64 1 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1))))))
(-.f64 1 (/.f64 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) -31853699/125000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (pow.f64 (exp.f64 x) x)))

localize240.0ms (2.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
0.5b
(/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
0.5b
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
13.1b
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
Compiler

Compiled 395 to 317 computations (19.7% saved)

series33.0ms (0.3%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
5.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
4.0ms
x
@-inf
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
0.0ms
x
@0
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
0.0ms
x
@inf
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))

rewrite82.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
395×add-sqr-sqrt_binary64
375×add-log-exp_binary64
375×pow1_binary64
375×log1p-expm1-u_binary64
375×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036107
187092
Stop Event
node limit
Counts
3 → 61
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))
(/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -4) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -4) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (neg.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (+.f64 1 (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -4) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (neg.f64 (*.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) 1))) (fma.f64 (neg.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))) 1 (*.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -4) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))) 2) (cbrt.f64 (+.f64 1 (fma.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -4) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))))) (neg.f64 (*.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) -5) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)))) 1))) (fma.f64 (neg.f64 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simplify78.0ms (0.7%)

Algorithm
egg-herbie
Rules
638×fma-neg_binary64
610×times-frac_binary64
524×distribute-rgt-in_binary64
481×distribute-lft-in_binary64
413×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0581084
11731084
23791084
310731084
439391084
Stop Event
node limit
Counts
89 → 70
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))))))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
Outputs
(-.f64 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (+.f64 1 (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))))))
(+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (-.f64 (+.f64 1 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2))) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))))))
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(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))
(/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 3))
(/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))

eval631.0ms (5.4%)

Compiler

Compiled 23101 to 18571 computations (19.6% saved)

prune111.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3893392
Fresh516
Picked101
Done325
Total3986404
Error
0.0b
Counts
404 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
33.0b
(pow.f64 1/1000000000000000000000000000 1/3)
26.0b
1
33.5b
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
31.9b
1/1000000000
33.1b
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
34.4b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
Compiler

Compiled 29 to 27 computations (6.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
0.2b
(*.f64 564193179035109/500000000000000 x)
0.2b
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
30.1b
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
Compiler

Compiled 27 to 22 computations (18.5% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
1.0ms
x
@0
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
1.0ms
x
@inf
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
1.0ms
x
@0
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
1.0ms
x
@inf
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))

rewrite117.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
807×pow1_binary64
765×add-log-exp_binary64
764×log1p-expm1-u_binary64
764×expm1-log1p-u_binary64
751×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0918
120016
2210516
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 564193179035109/500000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 564193179035109/500000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 564193179035109/500000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 4))) (sqrt.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 318313943269742557644254641881/250000000000000000000000000000 1/2) (pow.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 564193179035109/500000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 564193179035109/500000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 564193179035109/500000000000000 (*.f64 x (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 564193179035109/500000000000000 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 564193179035109/500000000000000 x) (*.f64 564193179035109/500000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 4)) (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (*.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (sqrt.f64 (*.f64 564193179035109/500000000000000 x))) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) 564193179035109/500000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) x) 564193179035109/500000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 564193179035109/500000000000000 x) (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 318313943269742557644254641881/250000000000000000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/1000000000000000000 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))) (/.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 564193179035109/500000000000000 x 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2) (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000000000000000000 (*.f64 -318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (/.f64 1 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x))) (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)) (+.f64 1/1000000000000000000 (*.f64 -318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000000000000000000 (*.f64 -318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000000000000 (*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 1/1000000000000000000 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) (*.f64 564193179035109/500000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000000000000000000 (*.f64 -318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)))) (neg.f64 (+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x)) 1/1000000000000000000) (-.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 564193179035109/500000000000000 x 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 564193179035109/500000000000000 x) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) (sqrt.f64 (*.f64 564193179035109/500000000000000 x)) 1/1000000000)))))

simplify236.0ms (2%)

Algorithm
egg-herbie
Rules
1101×sqr-pow_binary64
587×associate-*l*_binary64
565×cube-prod_binary64
560×fabs-mul_binary64
528×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013204
123186
238186
367186
4157186
5454186
61647186
72565186
82729186
92942186
103162186
113467186
123867186
134358186
144926186
155608186
166445186
176841186
187133186
197411186
207483186
217517186
Stop Event
node limit
Counts
117 → 89
Calls
Call 1
Inputs
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 -564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
Outputs
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 x -564193179035109/500000000000000)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 x -564193179035109/500000000000000)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 x -564193179035109/500000000000000)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 x -564193179035109/500000000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (*.f64 564193179035109/500000000000000 x) 1/1000000000)
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 -564193179035109/500000000000000 x)
(*.f64 x -564193179035109/500000000000000)
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
(+.f64 (*.f64 x -564193179035109/500000000000000) 1/1000000000)
(fma.f64 x -564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
(+.f64 (*.f64 x -564193179035109/500000000000000) 1/1000000000)
(fma.f64 x -564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 -564193179035109/500000000000000 x))
(+.f64 (*.f64 x -564193179035109/500000000000000) 1/1000000000)
(fma.f64 x -564193179035109/500000000000000 1/1000000000)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.6b
(pow.f64 1/1000000000000000000000000000 1/3)
Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite141.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
500×log1p-udef_binary64
312×add-sqr-sqrt_binary64
308×pow1_binary64
298×add-log-exp_binary64
298×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043
1893
28323
377983
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(pow.f64 1/1000000000000000000000000000 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/1000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/6) (pow.f64 1/1000000000000000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6) (*.f64 (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))) (*.f64 (cbrt.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/12) (pow.f64 1/1000000000000000000000000000 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/12) (*.f64 (pow.f64 1/1000000000000000000000000000 1/12) (pow.f64 1/1000000000000000000000000000 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/1000000000000000000000000000 1/4) (pow.f64 1/1000000000000000000000000000 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) 5)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1/1000000000000000000000000000 1/6) (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6)) (pow.f64 (cbrt.f64 1/1000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))) (cbrt.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1)) (+.f64 1 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1)) 1) (+.f64 (+.f64 (cbrt.f64 1/1000000000000000000000000000) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 1/1000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 1/1000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cbrt.f64 1/1000000000000000000000000000) (cbrt.f64 1/1000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/1000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 1/1000000000000000000000000000000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 1/1000000000000000000000000000000000000000000000000000000 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 1/1000000000000000000000000000) 1/6) 2))))))

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
34 → 34
Calls
Call 1
Inputs
Outputs

eval87.0ms (0.7%)

Compiler

Compiled 1304 to 1086 computations (16.7% saved)

prune60.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1322134
Fresh022
Picked101
Done213
Total1355140
Error
0.0b
Counts
140 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000))
31.9b
1/1000000000
34.4b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
33.5b
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3) 2)))
26.0b
1
Compiler

Compiled 28 to 25 computations (10.7% saved)

regimes347.0ms (3%)

Counts
26 → 2
Calls
Call 1
Inputs
1/1000000000
1
1/1000000000
(+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3) 2)))
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1029667143/1000000000))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x))))
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 1029667143/1000000000) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (*.f64 1 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (neg.f64 (pow.f64 (exp.f64 x) x)))))
(log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))) 3) 1/3)
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (-.f64 (+.f64 1421413741/1000000000 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 1453152027/1000000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))) 2)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 4))) (*.f64 8890523/31250000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))) (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))) (*.f64 1421413741/1000000000 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (+.f64 (*.f64 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4))) (*.f64 1421413741/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (+.f64 (*.f64 8890523/31250000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1453152027/1000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)))))) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 4)) (+.f64 (/.f64 -1453152027/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 2)) (/.f64 -8890523/31250000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)) 2) (*.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (pow.f64 (exp.f64 x) x)))))
Outputs
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3) 2)))
1
Calls

7 calls:

87.0ms
x
82.0ms
(fabs.f64 x)
61.0ms
(fabs.f64 x)
19.0ms
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
12.0ms
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Results
ErrorSegmentsBranch
0.0b3x
0.0b2(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b2(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0b2(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b2(*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
0.0b2(fabs.f64 x)
0.0b2(fabs.f64 x)
Compiler

Compiled 1269 to 992 computations (21.8% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.65227621469471e-10
38.945192758930894
Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes43.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
1/1000000000
1
1/1000000000
(+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
Outputs
1
(+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2)))
1
Calls

1 calls:

38.0ms
x
Results
ErrorSegmentsBranch
0.0b3x
Compiler

Compiled 35 to 31 computations (11.4% saved)

bsearch204.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
105.0ms
2.0568407606825256e-16
38.945192758930894
98.0ms
-3608213680744282000.0
-2.65227621469471e-10
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes19.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
1/1000000000
1
1/1000000000
(+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(pow.f64 1/1000000000000000000000000000 1/3)
(exp.f64 (log.f64 1/1000000000))
(pow.f64 (pow.f64 1/1000000000 3) 1/3)
Outputs
1
(+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000))
1
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
Compiler

Compiled 27 to 24 computations (11.1% saved)

bsearch113.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
2.0568407606825256e-16
38.945192758930894
56.0ms
-3608213680744282000.0
-2.65227621469471e-10
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -55.9b remaining (-5646.4%)

Threshold costs -55.9b (-5646.4%)

Counts
3 → 3
Calls
Call 1
Inputs
1/1000000000
1
1/1000000000
Outputs
1
1/1000000000
1
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch109.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
2.0568407606825256e-16
38.945192758930894
53.0ms
-3608213680744282000.0
-2.65227621469471e-10
Compiler

Compiled 69 to 55 computations (20.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03489
14189
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (fabs.f64 x) 4835703278458517/9671406556917033397649408) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3) 2))) 1)
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) (+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000)) 1))
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) 1/1000000000 1))
1/1000000000
Outputs
(if (<=.f64 (fabs.f64 x) 4835703278458517/9671406556917033397649408) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 564193179035109/500000000000000 x)) 3) 2))) 1)
(if (<=.f64 (fabs.f64 x) 4835703278458517/9671406556917033397649408) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000)) 3) 2))) 1)
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 564193179035109/500000000000000 x) 2))) 1))
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) (+.f64 1/1000000000 (sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))) 1))
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) (+.f64 1/1000000000 (*.f64 x -564193179035109/500000000000000)) 1))
(if (<=.f64 x -3608213680744282112) 1 (if (<=.f64 x 8343537359529893/40564819207303340847894502572032) 1/1000000000 1))
1/1000000000
Compiler

Compiled 67 to 57 computations (14.9% saved)

soundness0.0ms (0%)

end50.0ms (0.4%)

Compiler

Compiled 63 to 53 computations (15.9% saved)

Profiling

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