Details

Time bar (total: 14.6s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 66 to 53 computations (19.7% saved)

sample2.1s (14%)

Results
2.0s8256×body256valid

preprocess56.0ms (0.4%)

Algorithm
2×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
1×saturated
1×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)

simplify45.0ms (0.3%)

Algorithm
1×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
1×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)))

eval7.0ms (0%)

Compiler

Compiled 111 to 86 computations (22.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
13.8b
Counts
3 → 2
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)))) (+.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))))))
▶13.8b
(+.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 112 to 88 computations (21.4% saved)

localize106.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓0.5b
(+.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)))
✓0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓13.8b
(+.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 311 to 225 computations (27.7% saved)

series40.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
13.0ms
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 (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)))
9.0ms
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 (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)))
8.0ms
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 (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)))
1.0ms
x
@0
(+.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)))
1.0ms
x
@0
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite93.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
285×add-sqr-sqrt_binary64
270×add-log-exp_binary64
270×pow1_binary64
269×*-un-lft-identity_binary64
269×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024117
156599
Stop Event
1×node limit
Counts
4 → 121
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 (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 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
(+.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)))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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 (/.f64 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 x 1))) (fma.f64 3275911/10000000 x 1))) (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))))) (/.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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 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 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (*.f64 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simplify103.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
673×fma-neg_binary64
641×associate--l+_binary64
530×associate-+r+_binary64
455×fma-def_binary64
444×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732521
16202384
217642078
375032078
Stop Event
1×node limit
Counts
169 → 141
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 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 (*.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 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 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
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 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 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(+.f64 1 (-.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 (/.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))))))
(+.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 -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 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (*.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 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))))) (+.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 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 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 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (fma.f64 (-.f64 (+.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)))) (+.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 x x) (+.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 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)))))
(-.f64 (+.f64 (+.f64 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (fma.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (-.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.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 x x) (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)))) (-.f64 1 (/.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))))
(+.f64 1 (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (-.f64 (fma.f64 (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 x 1)) (-.f64 (+.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 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 x 1) 4)) (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 x 1) 2))))) (*.f64 x x) (/.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 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 31853699/125000000 (/.f64 1 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (+.f64 (*.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 1061405429/1000000000 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 5))))) (+.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 (-.f64 (+.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 1421413741/1000000000 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (+.f64 (*.f64 1061405429/1000000000 (-.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 5)) (*.f64 1/2 (/.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 (*.f64 3275911/10000000 (fabs.f64 x)) 1)) (*.f64 1/2 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))))) (*.f64 1453152027/2000000000 (/.f64 1 (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 4)))))))) (pow.f64 x 4)) (+.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 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 (*.f64 (pow.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) 2) (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1)))))))
(-.f64 (+.f64 1 (fma.f64 (-.f64 (+.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)))) (+.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 x x) (fma.f64 (-.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))) (fma.f64 1421413741/1000000000 (-.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 1/2 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3))) (fma.f64 1061405429/1000000000 (-.f64 (/.f64 1 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (/.f64 1/2 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5))) (+.f64 (/.f64 8890523/62500000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (fma.f64 31853699/125000000 (-.f64 (/.f64 1 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (/.f64 1/2 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (/.f64 1453152027/2000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4))))))) (pow.f64 x 4) (+.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 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 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))
(/.f64 1061405429/1000000000 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))

localize148.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
✓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))))
✓0.8b
(+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓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)))) (+.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)

series26.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
10.0ms
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))))))
5.0ms
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))))))
5.0ms
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))))

rewrite94.0ms (0.6%)

Algorithm
1×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
1×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 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))))
(*.f64 3275911/10000000 (fabs.f64 x))
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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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 (-.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)))) (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 (-.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 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))))))))) (#(struct:change #<rule egg-rr> (2) ((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 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 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simplify93.0ms (0.6%)

Algorithm
1×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
1×node limit
Counts
140 → 114
Calls
Call 1
Inputs
(-.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 (*.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 (*.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 (*.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 (*.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 (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 (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 (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 (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 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 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 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))))
(-.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))))
(-.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))))
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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))))
(+.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))))
(-.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 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))))
(-.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 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))))
(-.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 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))))
(-.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))))
(-.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))))
(-.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))))
(-.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))))

eval564.0ms (3.9%)

Compiler

Compiled 20567 to 15805 computations (23.2% saved)

prune81.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New29512307
Fresh000
Picked101
Done101
Total29712309
Error
13.7b
Counts
309 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
15.3b
(fma.f64 (pow.f64 (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
▶13.7b
(/.f64 (+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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))))))
▶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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
▶13.8b
(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) (neg.f64 x)) 1)
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)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1061405429/1000000000 -1453152027/1000000000)))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
▶45.1b
(+.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))))
45.1b
(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)
14.9b
(-.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)))))
13.8b
(/.f64 (-.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
▶13.8b
(exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
13.8b
(*.f64 (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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)
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)))) (*.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))))))
Compiler

Compiled 1540 to 1262 computations (18.1% saved)

localize420.0ms (2.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2)
✓0.5b
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)
✓0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓13.3b
(+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3))
Compiler

Compiled 585 to 464 computations (20.7% saved)

series46.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
18.0ms
x
@0
(+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3))
16.0ms
x
@inf
(+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3))
2.0ms
x
@-inf
(+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3))
2.0ms
x
@inf
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)
1.0ms
x
@-inf
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)

rewrite218.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
308×add-sqr-sqrt_binary64
294×add-log-exp_binary64
293×log1p-expm1-u_binary64
293×expm1-log1p-u_binary64
292×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027191
1633191
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3))
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)
(pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2)
Outputs
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simplify134.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
688×associate-*l/_binary64
593×times-frac_binary64
437×associate-/r*_binary64
367×cancel-sign-sub-inv_binary64
352×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01251278
13331268
29891262
339591015
Stop Event
1×node limit
Counts
178 → 188
Calls
Call 1
Inputs
2999999997000000001/1000000000000000000000000000
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x))
(+.f64 2999999997000000001/1000000000000000000000000000 (+.f64 (*.f64 -78236099466207216540311942739337413175907328/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x)))
(+.f64 2999999997000000001/1000000000000000000000000000 (+.f64 (*.f64 311171230510546267455035977289550631247001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -78236099466207216540311942739337413175907328/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x))))
1
(-.f64 1 (*.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 1050685149719282267940725760/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 4))))) (*.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (*.f64 1050685149719282267940725760/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 4))))) (+.f64 (*.f64 65977343584855076016805574400000000/377277123014824839498846883520551 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 5)))) (*.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
1
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-1453152027/1000000000
(-.f64 (*.f64 1061405429/327591100 (/.f64 1 x)) 1453152027/1000000000)
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-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))
-999999997000000002999999999/1000000000000000000000000000
(-.f64 (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x) 999999997000000002999999999/1000000000000000000000000000)
(-.f64 (+.f64 (*.f64 -78236099466207216540311942739337413175907328/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x)) 999999997000000002999999999/1000000000000000000000000000)
(-.f64 (+.f64 (*.f64 311171230510546267455035977289550631247001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (*.f64 -78236099466207216540311942739337413175907328/20480000000000000000000000000000000000000000 (pow.f64 x 2)) (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x))) 999999997000000002999999999/1000000000000000000000000000)
(/.f64 -258564919831245099928792/549308486919607547359375 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))
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(/.f64 -258564919831245099928792/549308486919607547359375 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))
(-.f64 (*.f64 1050685149719282267940725760/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 4)))) (*.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3)))))
(-.f64 (*.f64 1050685149719282267940725760/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 4)))) (+.f64 (*.f64 65977343584855076016805574400000000/377277123014824839498846883520551 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 5)))) (*.f64 258564919831245099928792/549308486919607547359375 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
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999999998000000001/1000000000000000000
(+.f64 (*.f64 -564193178470915820964891/250000000000000000000000 x) 999999998000000001/1000000000000000000)
(+.f64 (*.f64 -564193178470915820964891/250000000000000000000000 x) (+.f64 (*.f64 6837009504963981144040712600246531653632/5368709120000000000000000000000000000000 (pow.f64 x 2)) 999999998000000001/1000000000000000000))
(+.f64 (*.f64 -564193178470915820964891/250000000000000000000000 x) (+.f64 (*.f64 6837009504963981144040712600246531653632/5368709120000000000000000000000000000000 (pow.f64 x 2)) (+.f64 999999998000000001/1000000000000000000 (*.f64 375317828822089982657468654858345553423/500000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 4058632559930404/6707245549950625 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))
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(-.f64 (+.f64 (*.f64 14351784459970307040000000000/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 4)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))) (+.f64 (*.f64 590061798634335528000000000000000000/377277123014824839498846883520551 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 5)))) (*.f64 274872616238196352000/35155743162854883031 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3))))))
(/.f64 4058632559930404/6707245549950625 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))
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(-.f64 (+.f64 (*.f64 14351784459970307040000000000/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 4)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))) (*.f64 274872616238196352000/35155743162854883031 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 14351784459970307040000000000/115167085740371102724966241 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 4)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))) (+.f64 (*.f64 590061798634335528000000000000000000/377277123014824839498846883520551 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 5)))) (*.f64 274872616238196352000/35155743162854883031 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 3))))))
Outputs
2999999997000000001/1000000000000000000000000000
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 3634786871603525232081484906487306986192896/1073741824000000000000000000000000000000000 x))
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x))
(fma.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x 2999999997000000001/1000000000000000000000000000)
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(+.f64 2999999997000000001/1000000000000000000000000000 (fma.f64 -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000 (*.f64 x x) (*.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x)))
(+.f64 2999999997000000001/1000000000000000000000000000 (fma.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x (*.f64 -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000 (*.f64 x x))))
(fma.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x (fma.f64 x (*.f64 x -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000) 2999999997000000001/1000000000000000000000000000))
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(+.f64 2999999997000000001/1000000000000000000000000000 (fma.f64 311171230510546267455035977289550631247001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000 (*.f64 x x) (*.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x))))
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(fma.f64 311171230510546267455035977289550631247001588969/1000000000000000000000000000000000000000000000000 (pow.f64 x 3) (fma.f64 1692579533720167927481925537105327/500000000000000000000000000000000 x (fma.f64 x (*.f64 x -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000) 2999999997000000001/1000000000000000000000000000)))
(+.f64 2999999997000000001/1000000000000000000000000000 (*.f64 x (+.f64 1692579533720167927481925537105327/500000000000000000000000000000000 (*.f64 x (+.f64 -76402440884967984902648381581384192554597/20000000000000000000000000000000000000000 (*.f64 x 311171230510546267455035977289550631247001588969/1000000000000000000000000000000000000000000000000))))))
1
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1
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(+.f64 (/.f64 14351784459970307040000000000/115167085740371102724966241 (*.f64 (pow.f64 x 4) (pow.f64 (exp.f64 (*.f64 x x)) 2))) (-.f64 (/.f64 4058632559930404/6707245549950625 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 (*.f64 x x)) 2))) (+.f64 (/.f64 274872616238196352000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 (*.f64 x x)) 2))) (/.f64 590061798634335528000000000000000000/377277123014824839498846883520551 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 (*.f64 x x)) 2))))))
(-.f64 (+.f64 (/.f64 (/.f64 4058632559930404/6707245549950625 (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 14351784459970307040000000000/115167085740371102724966241 (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 x) x) 2)))) (+.f64 (/.f64 (/.f64 274872616238196352000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 (/.f64 590061798634335528000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)) (pow.f64 (pow.f64 (exp.f64 x) x) 2))))
(+.f64 (/.f64 (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (*.f64 x x)) (+.f64 (-.f64 (/.f64 (/.f64 14351784459970307040000000000/115167085740371102724966241 (pow.f64 x 4)) (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (/.f64 (/.f64 590061798634335528000000000000000000/377277123014824839498846883520551 (pow.f64 x 5)) (pow.f64 (pow.f64 (exp.f64 x) x) 2))) (/.f64 -274872616238196352000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 x) x) 2)))))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 -2 (*.f64 x x))) (*.f64 x x)) (-.f64 4058632559930404/6707245549950625 (/.f64 274872616238196352000/35155743162854883031 x))) (fma.f64 14351784459970307040000000000/115167085740371102724966241 (/.f64 (exp.f64 (*.f64 -2 (*.f64 x x))) (pow.f64 x 4)) (/.f64 -590061798634335528000000000000000000/377277123014824839498846883520551 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (pow.f64 x 5)))))

localize160.0ms (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)))
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓13.7b
(+.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)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
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 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
@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))))
0.0ms
x
@0
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))
0.0ms
x
@inf
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)))

rewrite138.0ms (0.9%)

Algorithm
1×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
02490
155886
2781186
Stop Event
1×node limit
Counts
3 → 91
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 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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simplify128.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
622×associate-*l/_binary64
489×associate-*r/_binary64
361×fma-def_binary64
337×associate-/l/_binary64
327×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110593
1299565
2927533
33425495
Stop Event
1×node limit
Counts
127 → 134
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)))
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(+.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
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1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
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(+.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 1881321463217960143956490654523/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x -40002364818879768868679/20000000000000000000000)))))
(+.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)))
(+.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (*.f64 x 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))))))
(fma.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x x)) 1705910477000000000000/35155743162854883031) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (*.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (*.f64 x x)) (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))) (/.f64 (*.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 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)))
(+.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (*.f64 x x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 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))))
(fma.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) (*.f64 x x)) (+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x x)) x) (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x x)) 1705910477000000000000/35155743162854883031) (*.f64 (*.f64 (exp.f64 (*.f64 x x)) -53932632800000/10731592879921) 10000000/3275911)) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) x) 1705910477000000000000/35155743162854883031) (*.f64 (pow.f64 (exp.f64 x) x) -539326328000000000000/35155743162854883031)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (/.f64 -53932632800000/10731592879921 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 53932632800000/10731592879921) (*.f64 x x)) (-.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) x) x) 1) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) x) x) (-.f64 -63707398/81897775 (/.f64 -53932632800000/10731592879921 x))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) x) 2245236805000000000000/35155743162854883031) (pow.f64 x 3))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (*.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000 (*.f64 x -2193742730720041/10000000000000000)))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000 1029667143/1000000000))
(+.f64 (*.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (*.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000 (*.f64 x -2193742730720041/10000000000000000)) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x -2193742730720041/10000000000000000 (fma.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (*.f64 x (+.f64 -2193742730720041/10000000000000000 (*.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x 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))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1453152027/327591100 x)))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x 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))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))) (/.f64 -1453152027/327591100 x)))
1061405429/1000000000
(+.f64 1061405429/1000000000 (*.f64 -3477069720320819/10000000000000000 x))
(+.f64 1061405429/1000000000 (*.f64 x -3477069720320819/10000000000000000))
(fma.f64 x -3477069720320819/10000000000000000 1061405429/1000000000)
(+.f64 1061405429/1000000000 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (*.f64 -3477069720320819/10000000000000000 x)))
(+.f64 1061405429/1000000000 (fma.f64 11390570944565894491109/100000000000000000000000 (*.f64 x x) (*.f64 x -3477069720320819/10000000000000000)))
(+.f64 1061405429/1000000000 (fma.f64 x -3477069720320819/10000000000000000 (*.f64 (*.f64 x x) 11390570944565894491109/100000000000000000000000)))
(fma.f64 x -3477069720320819/10000000000000000 (fma.f64 x (*.f64 x 11390570944565894491109/100000000000000000000000) 1061405429/1000000000))
(+.f64 1061405429/1000000000 (+.f64 (*.f64 11390570944565894491109/100000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -3477069720320819/10000000000000000 x) (*.f64 -37314496653583803988263375299/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 1061405429/1000000000 (fma.f64 11390570944565894491109/100000000000000000000000 (*.f64 x x) (fma.f64 -3477069720320819/10000000000000000 x (*.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))))
(+.f64 1061405429/1000000000 (fma.f64 (*.f64 x x) 11390570944565894491109/100000000000000000000000 (fma.f64 x -3477069720320819/10000000000000000 (*.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000))))
(+.f64 1061405429/1000000000 (fma.f64 (pow.f64 x 3) -37314496653583803988263375299/1000000000000000000000000000000 (*.f64 x (+.f64 -3477069720320819/10000000000000000 (*.f64 x 11390570944565894491109/100000000000000000000000)))))
(+.f64 1061405429/1000000000 (*.f64 x (+.f64 -3477069720320819/10000000000000000 (*.f64 x (+.f64 (*.f64 x -37314496653583803988263375299/1000000000000000000000000000000) 11390570944565894491109/100000000000000000000000)))))
(/.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 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 1061405429/327591100 x) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.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 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 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 1061405429/327591100 x) (/.f64 -106140542900000/10731592879921 (*.f64 x x))) (-.f64 (/.f64 1061405429000000000000/35155743162854883031 (pow.f64 x 3)) (/.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)))))

localize114.0ms (0.8%)

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)))
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓13.8b
(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) (neg.f64 x)) 1)
Compiler

Compiled 237 to 194 computations (18.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(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) (neg.f64 x)) 1)
1.0ms
x
@0
(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) (neg.f64 x)) 1)
1.0ms
x
@-inf
(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) (neg.f64 x)) 1)

rewrite106.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
485×prod-diff_binary64
267×add-sqr-sqrt_binary64
253×add-log-exp_binary64
252×log1p-expm1-u_binary64
252×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02359
153357
2739757
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(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) (neg.f64 x)) 1)
Outputs
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3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1)) (exp.f64 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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)) (exp.f64 (*.f64 x x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)) (exp.f64 (*.f64 x x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) (exp.f64 (*.f64 x x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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)) (exp.f64 (*.f64 x x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)) (exp.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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)) (exp.f64 (*.f64 x x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.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)) (exp.f64 (*.f64 x x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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)) (exp.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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)) (exp.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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)) (exp.f64 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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)) (exp.f64 (*.f64 x x)) 1)) 1))))))

simplify83.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
741×unswap-sqr_binary64
470×fma-neg_binary64
435×exp-prod_binary64
389×distribute-lft-out_binary64
364×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038249
194243
2232196
3691169
42721169
53868169
66113169
77434169
Stop Event
1×node limit
Counts
35 → 37
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 x (*.f64 x -2364858879768868679/20000000000000000000000) 1/1000000000))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 564193179035109/500000000000000 x (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 1/1000000000 (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x -2364858879768868679/20000000000000000000000)))))
(fma.f64 (*.f64 x x) (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000) (fma.f64 564193179035109/500000000000000 x 1/1000000000))
(fma.f64 564193179035109/500000000000000 x (fma.f64 (*.f64 x x) (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000) 1/1000000000))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x)))
(fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1)
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (*.f64 x x)) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x))))
(+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (*.f64 x x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) 1)
(+.f64 1 (/.f64 (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))))
(+.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -2245236805000000000000/35155743162854883031 x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (+.f64 (/.f64 53932632800000/10731592879921 x) (/.f64 -2245236805000000000000/35155743162854883031 (*.f64 x x))))))
1
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)))
(+.f64 1 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x)))
(fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) 1)
(fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1)
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (*.f64 x x)) (*.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x))))
(+.f64 1 (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (*.f64 x x)))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) 1)
(+.f64 1 (/.f64 (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x)) (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (*.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) x)) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 -1 (pow.f64 x 2))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) x) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 53932632800000/10731592879921 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (*.f64 x x)) (fma.f64 -63707398/81897775 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) x) (*.f64 -2245236805000000000000/35155743162854883031 (/.f64 (exp.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))))
(+.f64 (fma.f64 -63707398/81897775 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) 1) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -2245236805000000000000/35155743162854883031 x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (+.f64 (/.f64 53932632800000/10731592879921 x) (/.f64 -2245236805000000000000/35155743162854883031 (*.f64 x x))))))

localize112.0ms (0.8%)

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)))
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓1.0b
(exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
✓11.7b
(log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
Compiler

Compiled 288 to 230 computations (20.1% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
1.0ms
x
@-inf
(log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
1.0ms
x
@inf
(exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
1.0ms
x
@-inf
(exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
1.0ms
x
@0
(log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))

rewrite117.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
734×prod-diff_binary64
272×add-sqr-sqrt_binary64
259×add-log-exp_binary64
258×pow1_binary64
258×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024118
1545117
27503117
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))
(exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))
Outputs
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simplify122.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
468×fma-def_binary64
441×cancel-sign-sub-inv_binary64
398×associate-/r*_binary64
391×fma-neg_binary64
387×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01291197
13851170
212881155
351891152
Stop Event
1×node limit
Counts
66 → 75
Calls
Call 1
Inputs
(log.f64 1/1000000000)
(+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000))
(+.f64 (*.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(+.f64 (*.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (+.f64 (*.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (*.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (*.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (+.f64 (*.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (*.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (*.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 -31853699/81897775 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3) (pow.f64 x 3))))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (*.f64 1/6 (-.f64 (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (*.f64 31853699/81897775 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (*.f64 63707398/81897775 (/.f64 1 (*.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 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (*.f64 564193179035109/500000 x) (log.f64 1/1000000000)))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (log.f64 1/1000000000)))
(fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)))
(+.f64 (*.f64 -12732557730792067164649954543919/20000000000000 (pow.f64 x 2)) (+.f64 (*.f64 564193179035109/500000 x) (+.f64 (log.f64 1/1000000000) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3)))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (+.f64 (fma.f64 564193179035109/500000 x (log.f64 1/1000000000)) (*.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3))))
(fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 564193179035109/500000 x (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 -12732557730792067164649954543919/20000000000000 (*.f64 x x) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(fma.f64 564193179035109/500000 x (fma.f64 x (*.f64 x -12732557730792067164649954543919/20000000000000) (fma.f64 478908148225619802931243818060235820987102499623/1000000000000000000000 (pow.f64 x 3) (log.f64 1/1000000000))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x)
(/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))
(/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2)))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (pow.f64 x 3)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (fma.f64 (/.f64 1/6 (pow.f64 x 3)) (-.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 x x)))) 824617848714589056000/35155743162854883031 (/.f64 -13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (-.f64 (+.f64 (*.f64 8405481197754258143525806080/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (*.f64 1638171132000000000000000000000/115167085740371102724966241 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (+.f64 (*.f64 98834989539163346500279941619296/44987142867332462001939937890625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 4))) (*.f64 172221413519643684480000000000/115167085740371102724966241 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))) (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (-.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (exp.f64 (*.f64 x x))) (+.f64 (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (*.f64 x x)) 4)) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 (*.f64 x x)) 2))))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x))))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/24 (/.f64 (-.f64 (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (exp.f64 (*.f64 x x))) (-.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (exp.f64 (*.f64 x x)) 4)))) (/.f64 172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)) (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (pow.f64 x 3)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (-.f64 (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) x)) (/.f64 -172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (pow.f64 (exp.f64 x) x) 4)))) (pow.f64 x 4)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (*.f64 x x)))) (pow.f64 x 3)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 8405481197754258143525806080/115167085740371102724966241 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (+.f64 (/.f64 1638171132000000000000000000000/115167085740371102724966241 (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 -172221413519643684480000000000/115167085740371102724966241 (pow.f64 (exp.f64 2) (*.f64 x x))) (/.f64 98834989539163346500279941619296/44987142867332462001939937890625 (pow.f64 (pow.f64 (exp.f64 x) x) 4))))) (pow.f64 x 4)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(/.f64 -63707398/81897775 (*.f64 (exp.f64 (pow.f64 x 2)) x))
(/.f64 (/.f64 -63707398/81897775 (exp.f64 (*.f64 x x))) x)
(/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))
(/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
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(+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) -1/6 (/.f64 137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (*.f64 x x)))) (pow.f64 x 3)) (+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (+.f64 (fma.f64 -31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 2) (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (pow.f64 x 3)) (/.f64 2029316279965202/6707245549950625 (*.f64 x (*.f64 x (pow.f64 (exp.f64 2) (*.f64 x x)))))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))) (/.f64 -129282459915622549964396/1647925460758822642078125 (pow.f64 (*.f64 x (pow.f64 (exp.f64 x) x)) 3)))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2)))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 2029316279965202/6707245549950625 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x (*.f64 x (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))))
(+.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x x)) (pow.f64 (exp.f64 x) (*.f64 2 x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (+.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x (*.f64 x (pow.f64 (exp.f64 2) (*.f64 x x))))) (+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 129282459915622549964396/1647925460758822642078125 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3))) (+.f64 (*.f64 1/6 (-.f64 (+.f64 (*.f64 13471420830000000000000/35155743162854883031 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 517129839662490199857584/549308486919607547359375 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 3)))) (*.f64 824617848714589056000/35155743162854883031 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2))))) (*.f64 31853699/81897775 (/.f64 (-.f64 (*.f64 107865265600000/10731592879921 (/.f64 1 (exp.f64 (pow.f64 x 2)))) (*.f64 4058632559930404/6707245549950625 (/.f64 1 (pow.f64 (exp.f64 (pow.f64 x 2)) 2)))) (exp.f64 (pow.f64 x 2)))))) (pow.f64 x 3))) (*.f64 2029316279965202/6707245549950625 (/.f64 1 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 2) (pow.f64 x 2))))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (-.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (/.f64 824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (*.f64 31853699/81897775 (/.f64 (-.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (exp.f64 (*.f64 x x)))))) (pow.f64 x 3)) (/.f64 2029316279965202/6707245549950625 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 (*.f64 x x)) 2))))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x (*.f64 x (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (+.f64 (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (exp.f64 (*.f64 x x)) 3)) (/.f64 -824617848714589056000/35155743162854883031 (pow.f64 (exp.f64 (*.f64 x x)) 2)))) (*.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 (*.f64 x x)) 2)) (/.f64 4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 3)))))) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 107865265600000/10731592879921 (exp.f64 (*.f64 x x))) (/.f64 -4058632559930404/6707245549950625 (pow.f64 (exp.f64 (*.f64 x x)) 2))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 x) (*.f64 2 x)))) (*.f64 x x)) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x)))) (-.f64 (+.f64 1 (/.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x x)) (pow.f64 (exp.f64 x) (*.f64 2 x)))) (/.f64 (+.f64 (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 x) (*.f64 2 x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 x) (*.f64 2 x)))))) (pow.f64 x 3))))
(+.f64 (/.f64 (+.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (/.f64 -2029316279965202/6707245549950625 (pow.f64 (exp.f64 2) (*.f64 x x)))) (*.f64 x x)) (+.f64 (-.f64 (/.f64 2029316279965202/6707245549950625 (*.f64 x (*.f64 x (pow.f64 (exp.f64 2) (*.f64 x x))))) (/.f64 (+.f64 (fma.f64 1/6 (+.f64 (/.f64 13471420830000000000000/35155743162854883031 (pow.f64 (exp.f64 x) x)) (/.f64 517129839662490199857584/549308486919607547359375 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 -137436308119098176000/35155743162854883031 (pow.f64 (exp.f64 2) (*.f64 x x)))) (fma.f64 31853699/81897775 (-.f64 (/.f64 107865265600000/10731592879921 (pow.f64 (exp.f64 2) (*.f64 x x))) (/.f64 4058632559930404/6707245549950625 (pow.f64 (pow.f64 (exp.f64 x) x) 3))) (/.f64 129282459915622549964396/1647925460758822642078125 (pow.f64 (pow.f64 (exp.f64 x) x) 3)))) (pow.f64 x 3))) (+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))))

localize187.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 3275911/10000000 (fabs.f64 x))
✓0.5b
(fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 372 to 285 computations (23.4% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
2.0ms
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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
0.0ms
x
@0
(fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)
0.0ms
x
@inf
(fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)

rewrite79.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
322×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
02896
164980
Stop Event
1×node limit
Counts
2 → 47
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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
(fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)
Outputs
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simplify77.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
534×distribute-rgt-in_binary64
423×fma-neg_binary64
402×times-frac_binary64
394×unswap-sqr_binary64
369×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01311314
14201238
211831012
35445932
Stop Event
1×node limit
Counts
71 → 81
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (*.f64 98171347176541251569707947359/1000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.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 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 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)))))
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))))
Outputs
(-.f64 1 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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 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 1029667143/1000000000 (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 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(-.f64 (+.f64 1 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) x))) (/.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 1029667143/1000000000 (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 2193742730720041/10000000000000000 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) x) 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 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 2))) (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (fma.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 (/.f64 8890523/31250000 (fma.f64 x 3275911/10000000 1)) (+.f64 -31853699/125000000 (/.f64 -1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 2193742730720041/10000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) x)) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) (*.f64 x x))))) (/.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 1029667143/1000000000 (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 (fma.f64 2193742730720041/10000000000000000 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) x) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3) (*.f64 x x))))) (*.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 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (fma.f64 x 3275911/10000000 1)) (-.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 2))) (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))))) (fma.f64 -928853844365085736173/5000000000000000000000 (/.f64 x (*.f64 (pow.f64 (exp.f64 x) x) (/.f64 (pow.f64 (fma.f64 x 3275911/10000000 1) 3) x))) 1))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (*.f64 x 2193742730720041/10000000000000000) (*.f64 -928853844365085736173/5000000000000000000000 (*.f64 x x)))) (-.f64 1 (/.f64 (+.f64 (/.f64 1029667143/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2193742730720041/10000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (+.f64 (*.f64 98171347176541251569707947359/1000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 3)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2)))) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (*.f64 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x))) (pow.f64 (+.f64 (*.f64 3275911/10000000 (fabs.f64 x)) 1) 2))))))) (/.f64 (*.f64 (-.f64 (+.f64 31853699/125000000 (*.f64 1029667143/1000000000 (/.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)))) (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)))) (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 2193742730720041/10000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) x)) (fma.f64 98171347176541251569707947359/1000000000000000000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) (pow.f64 x 3))) (*.f64 -928853844365085736173/5000000000000000000000 (/.f64 (exp.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3) (*.f64 x x)))))) (/.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 1029667143/1000000000 (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 2193742730720041/10000000000000000 (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) x) 1) (-.f64 (fma.f64 -928853844365085736173/5000000000000000000000 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3) (*.f64 x x))) (*.f64 98171347176541251569707947359/1000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x x))) (pow.f64 x 3)) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))) (*.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 (/.f64 1421413741/1000000000 (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 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
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(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1453152027/327591100 (exp.f64 (*.f64 x x))) (*.f64 x (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3))) (/.f64 (/.f64 (/.f64 -251455745600000/10731592879921 (exp.f64 (*.f64 x x))) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)) (*.f64 x x))) (/.f64 (/.f64 3575962885000000000000/35155743162854883031 (exp.f64 (*.f64 x x))) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) 3)))) (*.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (+.f64 (/.f64 1421413741/1000000000 (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 (+.f64 (/.f64 (/.f64 1453152027/327591100 (pow.f64 (exp.f64 x) x)) (*.f64 x (pow.f64 (fma.f64 x 3275911/10000000 1) 3))) (+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (/.f64 (/.f64 -251455745600000/10731592879921 x) x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))) (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (pow.f64 (fma.f64 x 3275911/10000000 1) 3)) (+.f64 (+.f64 (/.f64 1453152027/327591100 x) (/.f64 (/.f64 -251455745600000/10731592879921 x) x)) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))) (-.f64 1 (/.f64 (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 x 3275911/10000000 1) 2)) (+.f64 31853699/125000000 (/.f64 -8890523/31250000 (fma.f64 x 3275911/10000000 1)))) (*.f64 (fma.f64 x 3275911/10000000 1) (pow.f64 (exp.f64 x) x)))))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -2193742730720041/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -2193742730720041/10000000000000000))
(fma.f64 x -2193742730720041/10000000000000000 1029667143/1000000000)
(+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2))))
(+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (*.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000)))
(+.f64 1029667143/1000000000 (fma.f64 x -2193742730720041/10000000000000000 (*.f64 x (*.f64 x 928853844365085736173/5000000000000000000000))))
(fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000))
(+.f64 (*.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3)) (+.f64 1029667143/1000000000 (+.f64 (*.f64 -2193742730720041/10000000000000000 x) (*.f64 928853844365085736173/5000000000000000000000 (pow.f64 x 2)))))
(fma.f64 -98171347176541251569707947359/1000000000000000000000000000000 (pow.f64 x 3) (+.f64 1029667143/1000000000 (fma.f64 -2193742730720041/10000000000000000 x (*.f64 (*.f64 x x) 928853844365085736173/5000000000000000000000))))
(+.f64 (fma.f64 x -2193742730720041/10000000000000000 (*.f64 x (*.f64 x 928853844365085736173/5000000000000000000000))) (fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 (pow.f64 x 3) -98171347176541251569707947359/1000000000000000000000000000000 (fma.f64 x -2193742730720041/10000000000000000 (fma.f64 x (*.f64 x 928853844365085736173/5000000000000000000000) 1029667143/1000000000)))
(+.f64 1029667143/1000000000 (*.f64 x (+.f64 -2193742730720041/10000000000000000 (*.f64 x (+.f64 928853844365085736173/5000000000000000000000 (*.f64 x -98171347176541251569707947359/1000000000000000000000000000000))))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x 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))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
1421413741/1000000000
(-.f64 1421413741/1000000000 (*.f64 1453152027/327591100 (/.f64 1 x)))
(-.f64 1421413741/1000000000 (/.f64 1453152027/327591100 x))
(+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x))
(-.f64 (+.f64 1421413741/1000000000 (*.f64 251455745600000/10731592879921 (/.f64 1 (pow.f64 x 2)))) (*.f64 1453152027/327591100 (/.f64 1 x)))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 1453152027/327591100 x)))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (/.f64 -1453152027/327591100 x)))
(+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 251455745600000/10731592879921 (*.f64 x 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))))
(-.f64 (+.f64 1421413741/1000000000 (/.f64 251455745600000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3))))
(+.f64 1421413741/1000000000 (-.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (/.f64 1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 1421413741/1000000000 (+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (-.f64 (/.f64 -1453152027/327591100 x) (/.f64 3575962885000000000000/35155743162854883031 (pow.f64 x 3)))))
(+.f64 (/.f64 251455745600000/10731592879921 (*.f64 x x)) (+.f64 (+.f64 1421413741/1000000000 (/.f64 -1453152027/327591100 x)) (/.f64 -3575962885000000000000/35155743162854883031 (pow.f64 x 3))))

eval2.6s (17.5%)

Compiler

Compiled 72950 to 57039 computations (21.8% saved)

prune335.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New9459954
Fresh707
Picked101
Done404
Total9579966
Error
0.0b
Counts
966 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.2b
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
14.1b
(fma.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)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
28.4b
1/1000000000
29.2b
1
▶30.3b
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
31.8b
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
▶30.3b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
▶30.9b
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
▶13.8b
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Compiler

Compiled 242 to 196 computations (19% saved)

localize194.0ms (1.3%)

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)))
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1)))
✓13.8b
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Compiler

Compiled 248 to 199 computations (19.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
1.0ms
x
@0
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
1.0ms
x
@-inf
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)

rewrite122.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
796×prod-diff_binary64
273×add-sqr-sqrt_binary64
259×add-log-exp_binary64
258×pow1_binary64
258×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02359
154159
2764659
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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 (/.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (expm1.f64 (-.f64 (log.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))) (*.f64 x x)))) (/.f64 1 (expm1.f64 (-.f64 (log.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))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 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(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 log1p.f64 (expm1.f64 (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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 exp.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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 fma.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))) (/.f64 1 (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) (sqrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)))))

simplify109.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
503×fma-neg_binary64
489×associate-/l/_binary64
450×associate-/l*_binary64
377×cancel-sign-sub-inv_binary64
338×distribute-neg-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038237
1102235
2271232
3781189
42862173
56827173
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x)))
(+.f64 1/1000000000 (fma.f64 564193179035109/500000000000000 x (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))))
(fma.f64 564193179035109/500000000000000 x (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) 1/1000000000))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (+.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 564193179035109/500000000000000 x))))
(+.f64 1/1000000000 (fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (fma.f64 564193179035109/500000000000000 x (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 564193179035109/500000000000000 x 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) 1/1000000000))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x))) (-.f64 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (+.f64 1 (/.f64 (/.f64 -2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (+.f64 63707398/81897775 (/.f64 2245236805000000000000/35155743162854883031 (*.f64 x x))) (/.f64 53932632800000/10731592879921 x))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 -63707398/81897775 (/.f64 53932632800000/10731592879921 x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 2245236805000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x))))) (+.f64 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))) (/.f64 2245236805000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (pow.f64 (exp.f64 x) x)) (*.f64 x x))) (-.f64 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)) (+.f64 1 (/.f64 (/.f64 -2245236805000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x))))
(-.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (-.f64 (+.f64 63707398/81897775 (/.f64 2245236805000000000000/35155743162854883031 (*.f64 x x))) (/.f64 53932632800000/10731592879921 x))))

localize11.0ms (0.1%)

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)

series7.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 564193179035109/500000000000000 x)
1.0ms
x
@0
(*.f64 564193179035109/500000000000000 x)
1.0ms
x
@-inf
(*.f64 564193179035109/500000000000000 x)
1.0ms
x
@inf
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
0.0ms
x
@-inf
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))

rewrite162.0ms (1.1%)

Algorithm
1×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
1×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)))))

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
Compiler

Compiled 8 to 6 computations (25% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite93.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
434×pow1_binary64
430×add-sqr-sqrt_binary64
417×*-un-lft-identity_binary64
407×add-log-exp_binary64
407×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11025
210715
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) 1) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (cbrt.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 3) 1/1000000000000000000000000000) (fma.f64 (*.f64 x 564193179035109/500000000000000) (*.f64 x 564193179035109/500000000000000) (-.f64 1/1000000000000000000 (*.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x 564193179035109/500000000000000) (*.f64 x 564193179035109/500000000000000) -1/1000000000000000000) (fma.f64 x 564193179035109/500000000000000 -1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))))

simplify21.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
36 → 28
Calls
Call 1
Inputs
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
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
✓0.0b
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
0.2b
(*.f64 564193179035109/500000000000000 x)
✓0.8b
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
Compiler

Compiled 37 to 29 computations (21.6% saved)

series6.0ms (0%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
1.0ms
x
@inf
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
1.0ms
x
@inf
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
1.0ms
x
@-inf
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))

rewrite126.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
488×log-prod_binary64
410×fma-def_binary64
312×pow-prod-down_binary64
298×pow2_binary64
208×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
125032
2314230
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
Outputs
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-2364858879768868679/20000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 564193179035109/500000000000000 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 564193179035109/500000000000000 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2364858879768868679/20000000000000000000000 x) x (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2364858879768868679/20000000000000000000000 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (*.f64 x 564193179035109/500000000000000))))))

simplify194.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
778×sqr-pow_binary64
555×cube-prod_binary64
549×fabs-mul_binary64
536×associate-*l*_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01162
12160
23758
37454
417754
550254
6175154
7301154
8321554
9342854
10364854
11395754
12435954
13487254
14543854
15612454
16696154
17735354
18764154
19791954
20799554
Stop Event
1×node limit
Counts
170 → 169
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
(*.f64 564193179035109/500000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000))
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (+.f64 564193179035109/500000000000000 (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 x (fma.f64 x -2364858879768868679/20000000000000000000000 564193179035109/500000000000000))
(*.f64 564193179035109/500000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))
0.1b
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
✓0.1b
(*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
✓0.4b
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
Compiler

Compiled 44 to 29 computations (34.1% saved)

series10.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
1.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
1.0ms
x
@inf
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
1.0ms
x
@0
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)

rewrite130.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
909×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
118020
2236120
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
(*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
(+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)) 1) (*.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)) 3) (pow.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000 (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 375451252922475856043509345477/1000000000000000000000000000000 x))) (/.f64 (*.f64 (*.f64 x x) 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 375451252922475856043509345477/1000000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000) 3)) (+.f64 (*.f64 (*.f64 x x) 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000) (-.f64 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000 (*.f64 887889229394064435691017786816329137264055614883/20000000000000000000000000000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000 (*.f64 (*.f64 x x) 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000)) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 375451252922475856043509345477/1000000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -13225609314679235960422718430345445155956007489015810839/8000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000) 3))) (neg.f64 (+.f64 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000 (-.f64 (*.f64 (*.f64 x x) 140963643321056935033576405449285751835683669767836940357529/1000000000000000000000000000000000000000000000000000000000000) (*.f64 887889229394064435691017786816329137264055614883/20000000000000000000000000000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 5592557521221668486227460727547205041/400000000000000000000000000000000000000000000 (*.f64 (*.f64 x x) 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-2364858879768868679/20000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -375451252922475856043509345477/1000000000000000000000000000000 -2364858879768868679/20000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000) -2364858879768868679/20000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)) -2364858879768868679/20000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)) (sqrt.f64 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)) -2364858879768868679/20000000000000000000000)))))

simplify224.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
944×sqr-pow_binary64
536×unswap-sqr_binary64
489×cube-prod_binary64
480×fma-def_binary64
461×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014249
134249
266222
3153222
4379222
51565222
63312222
73668222
83919222
94206222
104585222
115142222
125762222
136470222
146941222
157260222
167530222
177700222
187790222
Stop Event
1×node limit
Counts
103 → 75
Calls
Call 1
Inputs
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
-2364858879768868679/20000000000000000000000
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
Outputs
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2))
(*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))
(*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
(+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x) (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x -2364858879768868679/20000000000000000000000)))
(*.f64 (*.f64 x x) (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000))
(*.f64 x (*.f64 x (fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)))
-2364858879768868679/20000000000000000000000
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)
(-.f64 (*.f64 -375451252922475856043509345477/1000000000000000000000000000000 x) 2364858879768868679/20000000000000000000000)
(fma.f64 -375451252922475856043509345477/1000000000000000000000000000000 x -2364858879768868679/20000000000000000000000)

eval344.0ms (2.3%)

Compiler

Compiled 14139 to 10746 computations (24% saved)

prune95.0ms (0.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New5229531
Fresh314
Picked011
Done224
Total52713540
Error
0.0b
Counts
540 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
1/1000000000
▶31.0b
(/.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))))
▶30.9b
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
31.2b
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
✓30.3b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
31.8b
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
✓13.8b
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
▶32.1b
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
31.2b
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
▶61.6b
(*.f64 564193179035109/500000000000000 x)
29.2b
1
✓30.9b
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
▶14.1b
(+.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))) 1)
Compiler

Compiled 337 to 269 computations (20.2% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))
✓0.3b
(fma.f64 3275911/10000000 x 1)
✓0.3b
(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))
✓13.7b
(+.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))) 1)
Compiler

Compiled 120 to 89 computations (25.8% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))
1.0ms
x
@0
(+.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))) 1)
1.0ms
x
@inf
(+.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))) 1)
1.0ms
x
@-inf
(+.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))) 1)
1.0ms
x
@inf
(/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))

rewrite149.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
594×prod-diff_binary64
340×log1p-udef_binary64
338×expm1-udef_binary64
328×fma-def_binary64
253×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01770
139170
2539969
Stop Event
1×node limit
Counts
4 → 193
Calls
Call 1
Inputs
(+.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))) 1)
(/.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)
(/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) (expm1.f64 (-.f64 (log.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 x x (log1p.f64 (*.f64 3275911/10000000 x)))))) (/.f64 1 (expm1.f64 (-.f64 (log.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 x x (log1p.f64 (*.f64 3275911/10000000 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)) (cbrt.f64 (pow.f64 (fma.f64 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3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)) (sqrt.f64 (fma.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (neg.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 1)))))) (#(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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3)) (/.f64 1 (+.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) (-.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 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2) (-.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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))))) (+.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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 (-.f64 (log.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 x x (log1p.f64 (*.f64 3275911/10000000 x))))) (+.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) -1)))))) (#(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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3)) (+.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) (-.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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 3)) (+.f64 1 (-.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (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))) (exp.f64 (fma.f64 x x (log1p.f64 (*.f64 3275911/10000000 x))))) 2) -1) (expm1.f64 (-.f64 (log.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 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simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
856×fma-def_binary64
598×distribute-neg-frac_binary64
506×associate-/r*_binary64
389×unswap-sqr_binary64
308×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100673
1262645
2687639
31923585
46222585
Stop Event
1×node limit
Counts
241 → 238
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(+.f64 (*.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x)))
(+.f64 (*.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (*.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(-.f64 (+.f64 (*.f64 116284197065161/200000000000000 x) (*.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(-.f64 (+.f64 (*.f64 116284197065161/200000000000000 x) (+.f64 (*.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(/.f64 71124184/81897775 x)
(-.f64 (*.f64 71124184/81897775 (/.f64 1 x)) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(/.f64 71124184/81897775 x)
(-.f64 (*.f64 71124184/81897775 (/.f64 1 x)) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(*.f64 3275911/10000000 x)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 3275911/10000000 x))
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -3373097920092273/10000000000000000 x))
(+.f64 (*.f64 11049968580507398135703/100000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (*.f64 -3373097920092273/10000000000000000 x)))
(+.f64 (*.f64 11049968580507398135703/100000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (+.f64 (*.f64 -3373097920092273/10000000000000000 x) (*.f64 -36198713622538571134128950433/1000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1029667143/327591100 x)
(-.f64 (*.f64 1029667143/327591100 (/.f64 1 x)) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (+.f64 (*.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1029667143/327591100 x)
(-.f64 (*.f64 1029667143/327591100 (/.f64 1 x)) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (+.f64 (*.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x))
(fma.f64 9090120849982139/10000000000000000 x 1/1000000000)
(+.f64 (*.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (+.f64 1/1000000000 (*.f64 9090120849982139/10000000000000000 x)))
(fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (fma.f64 9090120849982139/10000000000000000 x 1/1000000000))
(fma.f64 x (fma.f64 x 20062385210555165538559/50000000000000000000000 9090120849982139/10000000000000000) 1/1000000000)
(+.f64 (*.f64 20062385210555165538559/50000000000000000000000 (pow.f64 x 2)) (+.f64 1/1000000000 (+.f64 (*.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)) (*.f64 9090120849982139/10000000000000000 x))))
(fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (+.f64 1/1000000000 (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) (*.f64 9090120849982139/10000000000000000 x))))
(+.f64 (fma.f64 20062385210555165538559/50000000000000000000000 (*.f64 x x) (fma.f64 9090120849982139/10000000000000000 x 1/1000000000)) (*.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 20062385210555165538559/50000000000000000000000) (fma.f64 9090120849982139/10000000000000000 x (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) 1/1000000000)))
(fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 20062385210555165538559/50000000000000000000000 9090120849982139/10000000000000000) 1/1000000000))
(fma.f64 x (fma.f64 x 20062385210555165538559/50000000000000000000000 9090120849982139/10000000000000000) (fma.f64 -289036500906063605958319094791/500000000000000000000000000000 (pow.f64 x 3) 1/1000000000))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (/.f64 53932632800000/10731592879921 x) -63707398/81897775)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (+.f64 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x)))))))
(+.f64 1 (-.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x))))))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775))) (/.f64 (/.f64 -1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -1853490207000000000000/35155743162854883031 x)))))
1
(-.f64 1 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(-.f64 1 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x))))))
(+.f64 (+.f64 1 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x))) (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x))))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775)))
(+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) x) (+.f64 (/.f64 53932632800000/10731592879921 x) -63707398/81897775)))
(-.f64 (+.f64 1 (*.f64 53932632800000/10731592879921 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (+.f64 (*.f64 63707398/81897775 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) x))) (*.f64 1853490207000000000000/35155743162854883031 (/.f64 1 (*.f64 (exp.f64 (pow.f64 x 2)) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (/.f64 53932632800000/10731592879921 (*.f64 (*.f64 x x) (exp.f64 (*.f64 x x)))) (+.f64 (/.f64 63707398/81897775 (*.f64 x (exp.f64 (*.f64 x x)))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 x x)))))))
(+.f64 1 (-.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (+.f64 (/.f64 63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) x))) (/.f64 1853490207000000000000/35155743162854883031 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 x) x))))))
(+.f64 1 (+.f64 (/.f64 (/.f64 53932632800000/10731592879921 (*.f64 x x)) (pow.f64 (exp.f64 x) x)) (-.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (/.f64 (/.f64 1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))))
(+.f64 (+.f64 1 (*.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) x) x) (-.f64 (/.f64 53932632800000/10731592879921 x) 63707398/81897775))) (/.f64 (/.f64 -1853490207000000000000/35155743162854883031 (pow.f64 x 3)) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 53932632800000/10731592879921 (/.f64 -1853490207000000000000/35155743162854883031 x)))))
-745170407/1000000000
(-.f64 (*.f64 116284197065161/200000000000000 x) 745170407/1000000000)
(fma.f64 116284197065161/200000000000000 x -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 -745170407/1000000000)
(-.f64 (+.f64 (*.f64 116284197065161/200000000000000 x) (*.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (*.f64 (*.f64 x x) -30096802595103829969253/100000000000000000000000)) -745170407/1000000000)
(fma.f64 x 116284197065161/200000000000000 (fma.f64 (*.f64 x x) -30096802595103829969253/100000000000000000000000 -745170407/1000000000))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 x (*.f64 x -30096802595103829969253/100000000000000000000000) -745170407/1000000000))
(fma.f64 x (fma.f64 x -30096802595103829969253/100000000000000000000000 116284197065161/200000000000000) -745170407/1000000000)
(-.f64 (+.f64 (*.f64 116284197065161/200000000000000 x) (+.f64 (*.f64 -30096802595103829969253/100000000000000000000000 (pow.f64 x 2)) (*.f64 33698290077166938468133628729/250000000000000000000000000000 (pow.f64 x 3)))) 745170407/1000000000)
(+.f64 (fma.f64 116284197065161/200000000000000 x (fma.f64 -30096802595103829969253/100000000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000))) -745170407/1000000000)
(+.f64 (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 (*.f64 x (*.f64 x -30096802595103829969253/100000000000000000000000))) (fma.f64 x 116284197065161/200000000000000 -745170407/1000000000))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 (*.f64 x x) -30096802595103829969253/100000000000000000000000 (fma.f64 (pow.f64 x 3) 33698290077166938468133628729/250000000000000000000000000000 -745170407/1000000000)))
(fma.f64 x 116284197065161/200000000000000 (fma.f64 x (*.f64 x (fma.f64 x 33698290077166938468133628729/250000000000000000000000000000 -30096802595103829969253/100000000000000000000000)) -745170407/1000000000))
(/.f64 71124184/81897775 x)
(-.f64 (*.f64 71124184/81897775 (/.f64 1 x)) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 (/.f64 131416387900000/10731592879921 x) x))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 131416387900000/10731592879921 x) x)))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -131416387900000/10731592879921 (*.f64 x x)) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 (/.f64 131416387900000/10731592879921 x) x))))
(/.f64 71124184/81897775 x)
(-.f64 (*.f64 71124184/81897775 (/.f64 1 x)) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x)))
(-.f64 (/.f64 71124184/81897775 x) (/.f64 (/.f64 131416387900000/10731592879921 x) x))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -131416387900000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 71124184/81897775 x) (-.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 131416387900000/10731592879921 x) x)))
(+.f64 (+.f64 (/.f64 71124184/81897775 x) (/.f64 -131416387900000/10731592879921 (*.f64 x x))) (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2343831022000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 71124184/81897775 (/.f64 1 x))) (+.f64 (*.f64 131416387900000/10731592879921 (/.f64 1 (pow.f64 x 2))) (*.f64 33734981650000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 131416387900000/10731592879921 (*.f64 x x)) (/.f64 33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 -131416387900000/10731592879921 (*.f64 x x)) (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 71124184/81897775 x) (+.f64 (/.f64 2343831022000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 -33734981650000000000000000000/115167085740371102724966241 (pow.f64 x 4)) (/.f64 (/.f64 131416387900000/10731592879921 x) x))))
1
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(*.f64 3275911/10000000 x)
(*.f64 x 3275911/10000000)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
(+.f64 1 (*.f64 3275911/10000000 x))
(+.f64 1 (*.f64 x 3275911/10000000))
(fma.f64 x 3275911/10000000 1)
1029667143/1000000000
(+.f64 1029667143/1000000000 (*.f64 -3373097920092273/10000000000000000 x))
(+.f64 1029667143/1000000000 (*.f64 x -3373097920092273/10000000000000000))
(fma.f64 x -3373097920092273/10000000000000000 1029667143/1000000000)
(+.f64 (*.f64 11049968580507398135703/100000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (*.f64 -3373097920092273/10000000000000000 x)))
(fma.f64 11049968580507398135703/100000000000000000000000 (*.f64 x x) (+.f64 1029667143/1000000000 (*.f64 x -3373097920092273/10000000000000000)))
(fma.f64 (*.f64 x x) 11049968580507398135703/100000000000000000000000 (fma.f64 x -3373097920092273/10000000000000000 1029667143/1000000000))
(fma.f64 x -3373097920092273/10000000000000000 (fma.f64 x (*.f64 x 11049968580507398135703/100000000000000000000000) 1029667143/1000000000))
(fma.f64 x (fma.f64 x 11049968580507398135703/100000000000000000000000 -3373097920092273/10000000000000000) 1029667143/1000000000)
(+.f64 (*.f64 11049968580507398135703/100000000000000000000000 (pow.f64 x 2)) (+.f64 1029667143/1000000000 (+.f64 (*.f64 -3373097920092273/10000000000000000 x) (*.f64 -36198713622538571134128950433/1000000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 11049968580507398135703/100000000000000000000000 (*.f64 x x) (+.f64 1029667143/1000000000 (fma.f64 -3373097920092273/10000000000000000 x (*.f64 (pow.f64 x 3) -36198713622538571134128950433/1000000000000000000000000000000))))
(+.f64 (fma.f64 (*.f64 x x) 11049968580507398135703/100000000000000000000000 (fma.f64 x -3373097920092273/10000000000000000 1029667143/1000000000)) (*.f64 (pow.f64 x 3) -36198713622538571134128950433/1000000000000000000000000000000))
(fma.f64 x (*.f64 x 11049968580507398135703/100000000000000000000000) (fma.f64 x -3373097920092273/10000000000000000 (fma.f64 (pow.f64 x 3) -36198713622538571134128950433/1000000000000000000000000000000 1029667143/1000000000)))
(fma.f64 x (fma.f64 x 11049968580507398135703/100000000000000000000000 -3373097920092273/10000000000000000) (fma.f64 (pow.f64 x 3) -36198713622538571134128950433/1000000000000000000000000000000 1029667143/1000000000))
(fma.f64 x (*.f64 x (fma.f64 x -36198713622538571134128950433/1000000000000000000000000000000 11049968580507398135703/100000000000000000000000)) (fma.f64 x -3373097920092273/10000000000000000 1029667143/1000000000))
(/.f64 1029667143/327591100 x)
(-.f64 (*.f64 1029667143/327591100 (/.f64 1 x)) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1029667143/327591100 x) (/.f64 102966714300000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1029667143/327591100 x) (/.f64 -102966714300000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1029667143/327591100 x) (/.f64 102966714300000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1029667143/327591100 x) (-.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 102966714300000/10731592879921 x) x)))
(+.f64 (/.f64 1029667143/327591100 x) (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -102966714300000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (+.f64 (*.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 1029667143/327591100 x) (-.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 1029667143/327591100 x) (+.f64 (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -102966714300000/10731592879921 (*.f64 x x))) (/.f64 -10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1029667143/327591100 x) (/.f64 -102966714300000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(/.f64 1029667143/327591100 x)
(-.f64 (*.f64 1029667143/327591100 (/.f64 1 x)) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1029667143/327591100 x) (/.f64 102966714300000/10731592879921 (*.f64 x x)))
(+.f64 (/.f64 1029667143/327591100 x) (/.f64 -102966714300000/10731592879921 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (-.f64 (/.f64 1029667143/327591100 x) (/.f64 102966714300000/10731592879921 (*.f64 x x))))
(+.f64 (/.f64 1029667143/327591100 x) (-.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 (/.f64 102966714300000/10731592879921 x) x)))
(+.f64 (/.f64 1029667143/327591100 x) (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -102966714300000/10731592879921 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1029667143000000000000/35155743162854883031 (/.f64 1 (pow.f64 x 3))) (*.f64 1029667143/327591100 (/.f64 1 x))) (+.f64 (*.f64 10296671430000000000000000000/115167085740371102724966241 (/.f64 1 (pow.f64 x 4))) (*.f64 102966714300000/10731592879921 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1029667143/327591100 x) (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3))) (+.f64 (/.f64 102966714300000/10731592879921 (*.f64 x x)) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (/.f64 1029667143/327591100 x) (-.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 102966714300000/10731592879921 x) x) (/.f64 10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4)))))
(+.f64 (/.f64 1029667143/327591100 x) (+.f64 (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -102966714300000/10731592879921 (*.f64 x x))) (/.f64 -10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1029667143/327591100 x) (/.f64 -102966714300000/10731592879921 (*.f64 x x))) (+.f64 (/.f64 1029667143000000000000/35155743162854883031 (pow.f64 x 3)) (/.f64 -10296671430000000000000000000/115167085740371102724966241 (pow.f64 x 4))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 564193179035109/500000000000000 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))
0.1b
(*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))
✓0.2b
(*.f64 x 564193179035109/500000000000000)
0.4b
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
Compiler

Compiled 49 to 33 computations (32.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x 564193179035109/500000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 564193179035109/1000000000000000)) (log.f64 (pow.f64 (exp.f64 x) 564193179035109/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 564193179035109/250000000000000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 564193179035109/500000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) (+.f64 1 (*.f64 x 564193179035109/500000000000000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) (+.f64 1 (*.f64 x 564193179035109/500000000000000))) 1) (+.f64 (+.f64 1 (*.f64 x 564193179035109/500000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 564193179035109/500000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2) 1/2)))) (#(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 x 564193179035109/500000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 564193179035109/500000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 564193179035109/500000000000000)))) (sqrt.f64 (log.f64 (*.f64 x 564193179035109/500000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 564193179035109/500000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 x 564193179035109/500000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 564193179035109/500000000000000))))) (#(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 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 564193179035109/500000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 564193179035109/500000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 564193179035109/500000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 564193179035109/500000000000000))) 2))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
37 → 26
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)
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 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(*.f64 564193179035109/500000000000000 x)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
0.2b
(*.f64 564193179035109/500000000000000 x)
✓0.2b
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
✓20.4b
(/.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))))
Compiler

Compiled 70 to 57 computations (18.6% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.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))))
1.0ms
x
@inf
(/.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))))
1.0ms
x
@-inf
(/.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))))
1.0ms
x
@-inf
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
1.0ms
x
@0
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)

rewrite125.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
800×log-prod_binary64
527×fma-def_binary64
319×expm1-udef_binary64
319×log1p-udef_binary64
286×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01842
141838
2523136
Stop Event
1×node limit
Counts
3 → 81
Calls
Call 1
Inputs
(/.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))))
(pow.f64 (*.f64 564193179035109/500000000000000 x) 2)
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
Outputs
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simplify189.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
951×sqr-pow_binary64
536×unswap-sqr_binary64
495×associate-/l/_binary64
489×cube-prod_binary64
461×fabs-mul_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024240
163222
2107222
3191222
4471222
51745222
63601222
73770222
84024222
94316222
104700222
115235222
125891222
136608222
147082222
157399222
167669222
177837222
187931222
Stop Event
1×node limit
Counts
117 → 93
Calls
Call 1
Inputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(*.f64 147899856724979613696/131072000000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(-.f64 (+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x)) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 262144/262144000000000 (+.f64 (*.f64 147899856724979613696/131072000000000000000 x) (*.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(*.f64 147899856724979613696/131072000000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(-.f64 (+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x)) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 262144/262144000000000 (+.f64 (*.f64 147899856724979613696/131072000000000000000 x) (*.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (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))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
Outputs
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 147899856724979613696/131072000000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x)) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (+.f64 (*.f64 147899856724979613696/131072000000000000000 x) (*.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 147899856724979613696/131072000000000000000 x)
(*.f64 564193179035109/500000000000000 x)
(+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (*.f64 147899856724979613696/131072000000000000000 x)) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(-.f64 (+.f64 262144/262144000000000 (+.f64 (*.f64 147899856724979613696/131072000000000000000 x) (*.f64 0/4096 (/.f64 1 (pow.f64 x 3))))) (*.f64 0/131072 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(fma.f64 564193179035109/500000000000000 x 1/1000000000)
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 318313943269742557644254641881/250000000000000000000000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000)
(*.f64 x (*.f64 x 318313943269742557644254641881/250000000000000000000000000000))
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)
(*.f64 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))
✓0.2b
(pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)
0.4b
(*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)
✓0.7b
(cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))
Compiler

Compiled 79 to 59 computations (25.3% saved)

series7.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)
1.0ms
x
@inf
(cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
643×pow1_binary64
608×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
596×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
118822
2172222
Stop Event
1×node limit
Counts
3 → 53
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))
(pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/6) (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1/6) (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) 1) 1/1000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 564193179035109/500000000000000) 3) 1/1000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) (*.f64 x 564193179035109/500000000000000)) (-.f64 1/1000000000000000000 (*.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 564193179035109/500000000000000) (*.f64 x 564193179035109/500000000000000)) 1/1000000000000000000) (-.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 564193179035109/500000000000000 1/1000000000)))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
641×associate-/r*_binary64
480×associate-*l/_binary64
404×*-commutative_binary64
384×unswap-sqr_binary64
379×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068352
1186314
2502290
32298268
46846267
Stop Event
1×node limit
Counts
73 → 71
Calls
Call 1
Inputs
(cbrt.f64 1/1000000000)
(+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000))
(+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000)))
(+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)))) (*.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000) 2))) (+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000))))
(pow.f64 (cbrt.f64 1/1000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)))
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (+.f64 (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)) (*.f64 (+.f64 (*.f64 35368215918860284182694960209/250000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3)) (*.f64 -35368215918860284182694960209/125000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) (*.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))))) (cbrt.f64 1/1000000000))) (*.f64 -6651502058687310827524450701654817256325927/62500000000000000000000000000000000 (pow.f64 1 1/3))) (pow.f64 x 3)) (+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (+.f64 (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)) (*.f64 (+.f64 (*.f64 35368215918860284182694960209/250000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3)) (*.f64 -35368215918860284182694960209/125000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3))) (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
(cbrt.f64 1/1000000000)
(+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000))
(fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (cbrt.f64 1/1000000000))
(+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000)))
(fma.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7))) (*.f64 x x)) (fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (cbrt.f64 1/1000000000)))
(fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (fma.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7))))) (cbrt.f64 1/1000000000)))
(+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)))) (*.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/1000000000) 2))) (+.f64 (*.f64 188064393011703/500000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) 1/3) x)) (cbrt.f64 1/1000000000))))
(fma.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7))) (*.f64 x x)) (fma.f64 -1/3 (/.f64 (fma.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) (/.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 1/1000000000) 2))) (/.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (pow.f64 x 3))) (fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (cbrt.f64 1/1000000000))))
(fma.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7))) (*.f64 x x)) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) -6651502058687310827524450701654817256325927/25000000000000000000000000000000000000000000) (/.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (pow.f64 x 3))) (fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (cbrt.f64 1/1000000000))))
(fma.f64 -35368215918860284182694960209/250000000000000000000000000000 (*.f64 x (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7))))) (fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (fma.f64 -1/3 (*.f64 (pow.f64 x 3) (*.f64 (/.f64 1000000000 (cbrt.f64 1/1000000000)) -6651502058687310827524450701654817256325927/25000000000000000000000000000000000000000000)) (cbrt.f64 1/1000000000))))
(+.f64 (fma.f64 188064393011703/500000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) x) (cbrt.f64 1/1000000000)) (*.f64 (*.f64 x x) (+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)))) (*.f64 2217167352895770275841483567218272418775309/25000000000000000000000000000000000 (/.f64 x (cbrt.f64 1/1000000000))))))
(+.f64 (cbrt.f64 1/1000000000) (*.f64 x (+.f64 (*.f64 188064393011703/500000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)))) (*.f64 x (+.f64 (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 7)))) (*.f64 2217167352895770275841483567218272418775309/25000000000000000000000000000000000 (/.f64 x (cbrt.f64 1/1000000000))))))))
(pow.f64 (cbrt.f64 1/1000000000) 2)
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)))
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (*.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000)))))
(fma.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000))) (pow.f64 (cbrt.f64 1/1000000000) 2))
(fma.f64 x (*.f64 188064393011703/250000000000000 (cbrt.f64 (cbrt.f64 1/1000000000))) (pow.f64 (cbrt.f64 1/1000000000) 2))
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (+.f64 (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)) (*.f64 (+.f64 (*.f64 35368215918860284182694960209/250000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3)) (*.f64 -35368215918860284182694960209/125000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (fma.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000))) (*.f64 (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4))) -35368215918860284182694960209/250000000000000000000000000000))))
(+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (fma.f64 (*.f64 x x) (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)))) (*.f64 x (*.f64 188064393011703/250000000000000 (cbrt.f64 (cbrt.f64 1/1000000000))))))
(fma.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000))) (fma.f64 (cbrt.f64 (/.f64 1000000000 (cbrt.f64 1/1000000000))) (*.f64 x (*.f64 x -35368215918860284182694960209/250000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000) 2)))
(fma.f64 x (*.f64 188064393011703/250000000000000 (cbrt.f64 (cbrt.f64 1/1000000000))) (fma.f64 (cbrt.f64 (/.f64 1000000000 (cbrt.f64 1/1000000000))) (*.f64 x (*.f64 x -35368215918860284182694960209/250000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))) (*.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2))))) (cbrt.f64 1/1000000000))) (*.f64 -6651502058687310827524450701654817256325927/62500000000000000000000000000000000 (pow.f64 1 1/3))) (pow.f64 x 3)) (+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (+.f64 (*.f64 188064393011703/250000000000000 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/1000000000)) 1/3) x)) (*.f64 (+.f64 (*.f64 35368215918860284182694960209/250000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3)) (*.f64 -35368215918860284182694960209/125000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)) 1/3))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 -2/3 (/.f64 (fma.f64 -19954506176061932482573352104964451768977781/62500000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) (/.f64 6651502058687310827524450701654817256325927/125000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 1/1000000000) 2))) (cbrt.f64 1/1000000000)) -6651502058687310827524450701654817256325927/62500000000000000000000000000000000) (pow.f64 x 3) (+.f64 (pow.f64 (cbrt.f64 1/1000000000) 2) (fma.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000))) (*.f64 (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4))) -35368215918860284182694960209/250000000000000000000000000000)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -35368215918860284182694960209/250000000000000000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 4)))) (*.f64 x (*.f64 188064393011703/250000000000000 (cbrt.f64 (cbrt.f64 1/1000000000))))) (fma.f64 (pow.f64 x 3) (fma.f64 -2/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1000000000) 2)) -6651502058687310827524450701654817256325927/25000000000000000000000000000000000000000000) (cbrt.f64 1/1000000000)) -6651502058687310827524450701654817256325927/62500000000000000000000000000000000) (pow.f64 (cbrt.f64 1/1000000000) 2)))
(fma.f64 (pow.f64 x 3) (fma.f64 -2/3 (/.f64 (/.f64 -6651502058687310827524450701654817256325927/25000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 1/1000000000) 2)) (cbrt.f64 1/1000000000)) -6651502058687310827524450701654817256325927/62500000000000000000000000000000000) (fma.f64 188064393011703/250000000000000 (*.f64 x (cbrt.f64 (cbrt.f64 1/1000000000))) (fma.f64 (cbrt.f64 (/.f64 1000000000 (cbrt.f64 1/1000000000))) (*.f64 x (*.f64 x -35368215918860284182694960209/250000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000) 2))))
(fma.f64 (pow.f64 x 3) 2217167352895770275841483567218272418775309/31250000000000000000000000000000000 (fma.f64 x (*.f64 188064393011703/250000000000000 (cbrt.f64 (cbrt.f64 1/1000000000))) (fma.f64 (cbrt.f64 (/.f64 1000000000 (cbrt.f64 1/1000000000))) (*.f64 x (*.f64 x -35368215918860284182694960209/250000000000000000000000000000)) (pow.f64 (cbrt.f64 1/1000000000) 2))))
1/1000000000
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(*.f64 x 564193179035109/500000000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(*.f64 564193179035109/500000000000000 x)
(*.f64 x 564193179035109/500000000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)

eval679.0ms (4.6%)

Compiler

Compiled 20558 to 16246 computations (21% saved)

prune101.0ms (0.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New6097616
Fresh235
Picked011
Done257
Total61316629
Error
0.0b
Counts
629 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.1b
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
31.2b
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
31.8b
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
✓30.9b
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
✓30.3b
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
32.1b
(+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 3) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
29.2b
1
✓30.9b
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
31.0b
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
31.8b
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
✓13.8b
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
28.4b
1/1000000000
14.1b
(+.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 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x))) 1)
31.2b
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
✓61.6b
(*.f64 564193179035109/500000000000000 x)
31.8b
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Compiler

Compiled 280 to 224 computations (20% saved)

regimes277.0ms (1.9%)

Counts
39 → 2
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
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(/.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))))
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(+.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))) 1)
(fma.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)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
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(*.f64 (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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)
(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) (neg.f64 x)) 1)
(-.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 -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))) (*.f64 (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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) 1421413741/1000000000)))))) (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)))) (fma.f64 (/.f64 1 (fma.f64 3275911/10000000 x 1)) 1061405429/1000000000 -1453152027/1000000000)))))))) (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 (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 (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 (-.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) 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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(fma.f64 (pow.f64 (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 2) (cbrt.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x)))) 1)
(/.f64 (+.f64 1 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 3)) (+.f64 (pow.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 2) (-.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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))))))
Outputs
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Calls

7 calls:

93.0ms
x
67.0ms
(fabs.f64 x)
39.0ms
(fabs.f64 x)
17.0ms
(-.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))))))
10.0ms
(*.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)))))
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 1526 to 1172 computations (23.2% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0001002523335379489
4.7382171260202215
Compiler

Compiled 63 to 55 computations (12.7% saved)

regimes96.0ms (0.7%)

Counts
24 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 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 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.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))) 1)
(fma.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)) (pow.f64 (exp.f64 x) (neg.f64 x)) 1)
(+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) 3) 2) (cbrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000))) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
Outputs
1
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.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 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x))) 1)
Calls

1 calls:

74.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 355 to 260 computations (26.8% saved)

bsearch118.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
0.0001002523335379489
4.7382171260202215
66.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes40.0ms (0.3%)

Counts
19 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Outputs
1
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 224 to 161 computations (28.1% saved)

bsearch108.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
0.0001002523335379489
4.7382171260202215
52.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes34.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Outputs
1
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 198 to 142 computations (28.3% saved)

bsearch108.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
0.0001002523335379489
4.7382171260202215
54.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes33.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
(+.f64 1 (/.f64 -63707398/81897775 (*.f64 x (pow.f64 (exp.f64 x) 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))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 (pow.f64 (sqrt.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000)) 2) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
Outputs
1
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 174 to 125 computations (28.2% saved)

bsearch110.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
0.0001002523335379489
4.7382171260202215
55.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes28.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(/.f64 (+.f64 1/1000000000000000000000000000 (*.f64 (pow.f64 x 3) 179590555584557392343160168944680065920800029/125000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 x x) 318313943269742557644254641881/250000000000000000000000000000) (-.f64 1/1000000000000000000 (*.f64 564193179035109/500000000000000000000000 x))))
Outputs
1
(+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
1
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 101 to 73 computations (27.7% saved)

bsearch140.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
79.0ms
0.0001002523335379489
4.7382171260202215
60.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes20.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
(fma.f64 x 564193179035109/500000000000000 1/1000000000)
(+.f64 1/1000000000 (+.f64 (*.f64 -2364858879768868679/20000000000000000000000 (pow.f64 x 2)) (*.f64 564193179035109/500000000000000 x)))
Outputs
1
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))))
1
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 68 to 50 computations (26.5% saved)

bsearch108.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
0.0001002523335379489
4.7382171260202215
55.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes17.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
(+.f64 1/1000000000 (+.f64 (+.f64 0 (*.f64 -2364858879768868679/20000000000000000000000 (*.f64 x x))) (*.f64 564193179035109/500000000000000 x)))
Outputs
1
(+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000))
1
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch133.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
76.0ms
0.0001002523335379489
4.7382171260202215
57.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes27.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
Outputs
1
(+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x))
1
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
0.2b3x
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch146.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
0.0001002523335379489
4.7382171260202215
87.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes16.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
1/1000000000
1/1000000000
1
(*.f64 564193179035109/500000000000000 x)
Outputs
1
1/1000000000
1
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch114.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
59.0ms
4.812180612290466e-8
0.0001002523335379489
55.0ms
-95089.52834280356
-2.3349896759072177e-33
Compiler

Compiled 69 to 55 computations (20.3% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
1/1000000000
1/1000000000
Outputs
1/1000000000
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
28.4b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
27×+-commutative_binary64
14×*-commutative_binary64
10×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095485
1127485
2145485
3158485
4168485
5178485
6187485
7190485
8191485
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (fabs.f64 x) 7378697629483821/36893488147419103232) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 908995217319825/18889465931478580854784) 1/1000000000 1))
1/1000000000
Outputs
(if (<=.f64 (fabs.f64 x) 7378697629483821/36893488147419103232) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1))
(if (<=.f64 (fabs.f64 x) 7378697629483821/36893488147419103232) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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)))))
(if (<=.f64 (fabs.f64 x) 7378697629483821/36893488147419103232) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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)))))
(if (<=.f64 (fabs.f64 x) 7378697629483821/36893488147419103232) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 x 1))) (fma.f64 3275911/10000000 x 1))) (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)))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 (+.f64 (*.f64 3275911/10000000 x) 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 (pow.f64 (exp.f64 x) x) (+.f64 1 (*.f64 x 3275911/10000000)))))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.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 (pow.f64 (exp.f64 x) x) (+.f64 1 (*.f64 x 3275911/10000000)))))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (+.f64 8890523/31250000 (/.f64 -1029667143/1000000000 (fma.f64 3275911/10000000 x 1))) (*.f64 x 3275911/10000000))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))) 1)))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 1 (/.f64 (+.f64 -31853699/125000000 (/.f64 (-.f64 8890523/31250000 (/.f64 1029667143/327591100 x)) (fma.f64 3275911/10000000 x 1))) (*.f64 (fma.f64 3275911/10000000 x 1) (pow.f64 (exp.f64 x) x))))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) (+.f64 1 (/.f64 (/.f64 -63707398/81897775 x) (pow.f64 (exp.f64 x) x)))))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (fma.f64 x 564193179035109/500000000000000 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000)))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (*.f64 (*.f64 x x) (+.f64 -2364858879768868679/20000000000000000000000 (*.f64 x -375451252922475856043509345477/1000000000000000000000000000000))) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000))) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (+.f64 (*.f64 x 564193179035109/500000000000000) 1/1000000000) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) (*.f64 (*.f64 x x) -2364858879768868679/20000000000000000000000)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 1/1000000000 (*.f64 564193179035109/500000000000000 x)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 7397316558266849/73786976294838206464) (+.f64 1/1000000000 (*.f64 x 564193179035109/500000000000000)) 1))
(if (<=.f64 x -3267251315395251/34359738368) 1 (if (<=.f64 x 908995217319825/18889465931478580854784) 1/1000000000 1))
1/1000000000
Compiler

Compiled 348 to 272 computations (21.8% saved)

soundness375.0ms (2.6%)

Algorithm
3×egg-herbie
Rules
578×times-frac_binary64
578×times-frac_binary64
564×cancel-sign-sub-inv_binary64
564×cancel-sign-sub-inv_binary64
468×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02793
19169
234469
3105869
4434269
01291197
13851170
212881155
351891152
02793
19169
234469
3105869
4434269
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 4193 to 3366 computations (19.7% saved)

end192.0ms (1.3%)

Compiler

Compiled 338 to 247 computations (26.9% saved)

Profiling

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