Details

Time bar (total: 3.3s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample802.0ms (24.5%)

Results
792.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acosh.f64 x)
Outputs
(acosh.f64 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify110.0ms (3.3%)

Algorithm
egg-herbie
Rules
864×fma-neg_binary64
682×unsub-neg_binary64
430×distribute-neg-in_binary64
420×sub-neg_binary64
353×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11812
22212
33712
47612
515212
635912
775612
8254312
9449112
10583612
11657212
12687612
13707312
14720512
15754912
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x x) 1)
29.3b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
569×pow1_binary64
535×add-log-exp_binary64
533×log1p-expm1-u_binary64
533×expm1-log1p-u_binary64
522×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
112912
2159012
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(-.f64 (*.f64 x x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) 1/4) (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)))))

simplify48.0ms (1.5%)

Algorithm
egg-herbie
Rules
360×fma-neg_binary64
339×div-sub_binary64
334×log-prod_binary64
286×fma-def_binary64
234×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0172876
1392790
21306721
34914721
Stop Event
node limit
Counts
85 → 113
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 (log.f64 x) 2))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 x 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 -1 (*.f64 x x))
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(fma.f64 x x -1)
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4))
(fma.f64 x x -1)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(fma.f64 x x -1)
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(fma.f64 x x -1)
(/.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))
(fma.f64 x x -1)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(fma.f64 x x -1)
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 2 (log.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -1)

eval33.0ms (1%)

Compiler

Compiled 1639 to 1208 computations (26.3% saved)

prune16.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1103113
Fresh000
Picked011
Done000
Total1104114
Error
0b
Counts
114 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
0.2b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
31.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
563×unpow-prod-down_binary64
417×fma-def_binary64
386×log-prod_binary64
286×exp-prod_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0712
116712
2250910
Stop Event
node limit
Counts
1 → 52
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 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-1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))))))

simplify60.0ms (1.8%)

Algorithm
egg-herbie
Rules
545×fma-def_binary64
490×fma-neg_binary64
327×log-prod_binary64
279×distribute-rgt-in_binary64
262×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02171318
15491229
216481198
364811187
Stop Event
node limit
Counts
64 → 129
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2) 3) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 x (*.f64 x -4)) (log.f64 x)))
(fma.f64 x (*.f64 x -4) (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -4 (*.f64 x x) (*.f64 -8 (pow.f64 x 4))) (-.f64 (log.f64 -1/2) (log.f64 x)))
(+.f64 (fma.f64 x (*.f64 x -4) (log.f64 (/.f64 -1/2 x))) (*.f64 -8 (pow.f64 x 4)))
(fma.f64 x (*.f64 x -4) (fma.f64 -8 (pow.f64 x 4) (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (fma.f64 x (*.f64 x -4) (log.f64 (/.f64 -1/2 x))) (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(log.f64 (+.f64 x x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 2) (/.f64 -1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (+.f64 (log.f64 2) (/.f64 -1/32 (pow.f64 x 4))) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x)))) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4)))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (-.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 1/2 x)) (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (+.f64 0 (neg.f64 (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (/.f64 -1/2 x)))
(-.f64 (log.f64 (*.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (/.f64 -1/2 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (/.f64 1/2 x) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (*.f64 x x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log1p.f64 (fma.f64 4 (*.f64 x x) (*.f64 1/4 (pow.f64 x -2)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 -1/4 (pow.f64 x -2)))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) -1/4))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (*.f64 x x) (*.f64 (pow.f64 x -2) -1/4))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (+.f64 0 (neg.f64 (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (*.f64 x x))) (log.f64 (/.f64 -1/2 x)))
(-.f64 (log.f64 (*.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (/.f64 -1/2 x)))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)) 1/3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2) 3) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) 1/2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (exp.f64 1) (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/2 x) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 0 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1/3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

localize52.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
0.0b
(+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)))
0.0b
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
0.3b
(/.f64 1/8 (pow.f64 x 3))
Compiler

Compiled 61 to 44 computations (27.9% saved)

series5.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
1.0ms
x
@0
(/.f64 1/8 (pow.f64 x 3))
1.0ms
x
@inf
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
0.0ms
x
@-inf
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
0.0ms
x
@inf
(/.f64 1/8 (pow.f64 x 3))

rewrite87.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
767×fma-def_binary64
608×log-prod_binary64
456×fma-neg_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01263
129157
2424557
Stop Event
node limit
Counts
4 → 293
Calls
Call 1
Inputs
(/.f64 1/8 (pow.f64 x 3))
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
(+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)))
(-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3)))) (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) 3) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))) (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))) (log.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (-.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (fma.f64 -1/8 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simplify163.0ms (5%)

Algorithm
egg-herbie
Rules
742×fma-neg_binary64
282×log-prod_binary64
270×div-sub_binary64
256×fma-def_binary64
210×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06478032
116577449
257037449
Stop Event
node limit
Counts
329 → 436
Calls
Call 1
Inputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 256/3 (pow.f64 x 6)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/8 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/8 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 0 (*.f64 1/8 (pow.f64 x -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3)))) (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3)))) 1)
(*.f64 1/8 (pow.f64 x -3))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))
(*.f64 1 (*.f64 1/8 (pow.f64 x -3)))
(*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)))
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 x -3) 1/8)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) 3) (/.f64 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))
(*.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))
(*.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) 1) (/.f64 1/2 x))
(*.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(pow.f64 (*.f64 1/8 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) 8) -1)
(sqrt.f64 (/.f64 1/64 (pow.f64 x 6)))
(log.f64 (exp.f64 (*.f64 1/8 (pow.f64 x -3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x -3)))))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x -3))))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x -3))))
(exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))) 1))
(+.f64 (log.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))) 0)
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))) (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))) (log.f64 (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (-.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) x))))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))) (*.f64 2 (log.f64 (cbrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 2))) (log.f64 (/.f64 1 (+.f64 (-.f64 x x) (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))))
(+.f64 0 (log.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))) (log.f64 (sqrt.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (-.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x)) x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) (-.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x))) x)))))
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(fma.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) 2) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) 2) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) 2) (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) 2) (cbrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (/.f64 1/2 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 1/8 (pow.f64 x -3) (neg.f64 (/.f64 -1/2 x)))))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 -1/2 x)))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 -1/2 (/.f64 1 x) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 3) (*.f64 -1/8 (pow.f64 x -3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x))) (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3)) (/.f64 1 (fma.f64 (*.f64 1/8 (pow.f64 x -3)) (fma.f64 1/8 (pow.f64 x -3) x) (*.f64 x x))) (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/8 (pow.f64 x -3)) 3)) (/.f64 1 (fma.f64 (*.f64 1/8 (pow.f64 x -3)) (fma.f64 1/8 (pow.f64 x -3) x) (*.f64 x x))) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x)))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x -3) x) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 x (fma.f64 -1/8 (pow.f64 x -3) (/.f64 1/2 x)))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (-.f64 (*.f64 x x) (/.f64 1/64 (pow.f64 x 6))) (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) x)) (/.f64 -1/2 x))
(fma.f64 (-.f64 (*.f64 x x) (/.f64 1/64 (pow.f64 x 6))) (/.f64 1 (fma.f64 1/8 (pow.f64 x -3) x)) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 -1/2 x)) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 -1 (/.f64 1/2 x) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x -3) x)) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (fma.f64 -1/8 (pow.f64 x -3) x))
Outputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8))
(fma.f64 -3 (log.f64 x) (log.f64 -1/8))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8)))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (log.f64 -1/8)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8))))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 256/3 (pow.f64 x 6)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8)))))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (fma.f64 256/3 (pow.f64 x 6) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/48 (pow.f64 x 6))))
(-.f64 (-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/48 (pow.f64 x 6)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/48 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/48 (pow.f64 x 6)))))
(/.f64 -1/8 (pow.f64 x 3))
(pow.f64 (/.f64 -1/2 x) 3)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 x x) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1/2 x) 3)))
(-.f64 (fma.f64 x 2 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1/2 x))
(/.f64 -1/8 (pow.f64 x 3))
(pow.f64 (/.f64 -1/2 x) 3)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
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(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (/.f64 -1/2 x))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (*.f64 (/.f64 -1/2 x) 1))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 1/8) (pow.f64 x 3/2))) (/.f64 -1/2 x))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x)))) (cbrt.f64 (/.f64 1/2 x)) (fma.f64 -1/8 (pow.f64 x -3) x))
(fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (fma.f64 -1/8 (pow.f64 x -3) x))

eval371.0ms (11.3%)

Compiler

Compiled 13356 to 9597 computations (28.1% saved)

prune100.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5641565
Fresh000
Picked101
Done033
Total5654569
Error
0b
Counts
569 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
0.2b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
31.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 43 to 29 computations (32.6% saved)

localize32.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
0.0b
(-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))
0.1b
(*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))
0.8b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 85 to 49 computations (42.4% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1/4 (*.f64 x x))
1.0ms
x
@0
(/.f64 1/4 (*.f64 x x))
0.0ms
x
@inf
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
0.0ms
x
@-inf
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
0.0ms
x
@0
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))

rewrite92.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
655×log-prod_binary64
545×fma-neg_binary64
334×log-div_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
129751
2475551
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 1/4 (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))
(-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (*.f64 x x) (/.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (/.f64 x 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (*.f64 (*.f64 x x) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) (*.f64 (*.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (*.f64 x x) 4) (/.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x 1/2) (*.f64 (*.f64 x x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/8 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (/.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 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simplify109.0ms (3.3%)

Algorithm
egg-herbie
Rules
892×fma-neg_binary64
264×fma-def_binary64
208×associate-*l*_binary64
205×associate-*r*_binary64
203×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05945262
115994951
262624938
Stop Event
node limit
Counts
266 → 355
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 -1/8 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 256/3 (pow.f64 x 6)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 0 (*.f64 1/4 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) x) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (sqrt.f64 (/.f64 1/8 x)) x))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 1/4)
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) 3)
(pow.f64 (*.f64 (*.f64 x x) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 x))) 1))
(+.f64 0 (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3)))) 1)
(/.f64 1/4 (*.f64 (*.f64 x x) (/.f64 x 1/2)))
(/.f64 1/4 (*.f64 (/.f64 x 1/2) (*.f64 x x)))
(/.f64 (*.f64 1/4 (pow.f64 x -2)) (/.f64 x 1/2))
(/.f64 1/2 (*.f64 x (*.f64 (*.f64 x x) 4)))
(/.f64 1/2 (*.f64 (*.f64 (*.f64 x x) 4) x))
(/.f64 1/2 (/.f64 x (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (/.f64 1/2 x) (*.f64 (*.f64 x x) 4))
(/.f64 1 (pow.f64 (/.f64 x 1/2) 3))
(/.f64 1 (*.f64 (*.f64 (*.f64 x x) 4) (/.f64 x 1/2)))
(/.f64 1 (*.f64 (/.f64 x 1/2) (*.f64 (*.f64 x x) 4)))
(/.f64 1 (/.f64 (pow.f64 x 3) 1/8))
(/.f64 1 (/.f64 x (*.f64 1/8 (pow.f64 x -2))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 1/8 x)))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))
(/.f64 1/8 (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 -1/4 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 x 1/2)))
(/.f64 -1/4 (*.f64 (/.f64 x 1/2) (*.f64 x (neg.f64 x))))
(/.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) 4) (neg.f64 x)))
(/.f64 -1/2 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) 4)))
(/.f64 (/.f64 1/4 x) (*.f64 (/.f64 x 1/2) x))
(/.f64 (*.f64 1/8 (pow.f64 x -2)) x)
(/.f64 (/.f64 1/8 x) (*.f64 x x))
(/.f64 -1/8 (pow.f64 (neg.f64 x) 3))
(/.f64 -1/8 (neg.f64 (pow.f64 x 3)))
(/.f64 -1/8 (*.f64 x (*.f64 x (neg.f64 x))))
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(+.f64 0 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (-.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 3))) (log.f64 (+.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2))) (log.f64 (+.f64 (-.f64 x (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/2 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (-.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (-.f64 x (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 3)))) (log.f64 (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (-.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2)))) (log.f64 (neg.f64 (+.f64 (-.f64 x (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3))) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (*.f64 (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 1/4 (pow.f64 x -2)))) (log.f64 (+.f64 (+.f64 (+.f64 x x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2) (*.f64 x x))) (log.f64 (-.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x)))
(*.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 1)
(*.f64 1 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) (sqrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (-.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (-.f64 x (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 2)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(log1p.f64 (-.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) 1))
Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 -1/8 (pow.f64 x 3))
(pow.f64 (/.f64 -1/2 x) 3)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 x (/.f64 1/2 x)))
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8))
(fma.f64 -3 (log.f64 x) (log.f64 -1/8))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8)))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (log.f64 -1/8)))
(fma.f64 x (*.f64 x 4) (fma.f64 -3 (log.f64 x) (log.f64 -1/8)))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8))))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8))))
(fma.f64 x (*.f64 x 4) (fma.f64 -3 (log.f64 x) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8))))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (*.f64 -3 (log.f64 x)) (+.f64 (*.f64 256/3 (pow.f64 x 6)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8)))))
(fma.f64 4 (*.f64 x x) (fma.f64 -3 (log.f64 x) (fma.f64 256/3 (pow.f64 x 6) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8)))))
(fma.f64 x (*.f64 x 4) (fma.f64 -3 (log.f64 x) (fma.f64 256/3 (pow.f64 x 6) (fma.f64 -24 (pow.f64 x 4) (log.f64 -1/8)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (pow.f64 (/.f64 1/2 x) 2)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/48 (pow.f64 x 6))))
(-.f64 (-.f64 (+.f64 (log.f64 x) (log.f64 2)) (/.f64 1/48 (pow.f64 x 6))) (fma.f64 1/4 (pow.f64 x -2) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (*.f64 (pow.f64 x -2) -1/4))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (fma.f64 1/4 (pow.f64 x -2) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/48 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/48 (pow.f64 x 6))))
(+.f64 0 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) x) (sqrt.f64 (/.f64 1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/2 x))) x)
(/.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 x (sqrt.f64 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (sqrt.f64 (/.f64 1/8 x)) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (/.f64 1/2 x))) x)
(/.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 x (sqrt.f64 (/.f64 1/2 x))))
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (pow.f64 x -2) 1/4)
(/.f64 1/4 (*.f64 x x))
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(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x)))) 1))
(log.f64 (+.f64 x (+.f64 (pow.f64 (/.f64 -1/2 x) 3) (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/8 (pow.f64 x 3)))))

eval170.0ms (5.2%)

Compiler

Compiled 8728 to 6387 computations (26.8% saved)

prune62.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3541355
Fresh000
Picked101
Done033
Total3554359
Error
0b
Counts
359 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
0.2b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
31.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 41 to 27 computations (34.1% saved)

localize32.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x)))
0.0b
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))
0.1b
(/.f64 (/.f64 (/.f64 1/8 x) x) x)
0.2b
(/.f64 (/.f64 1/8 x) x)
Compiler

Compiled 75 to 46 computations (38.7% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 1/8 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 1/8 x) x)
0.0ms
x
@0
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))
0.0ms
x
@-inf
(+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x)))
0.0ms
x
@0
(+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x)))

rewrite95.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
776×fma-def_binary64
449×fma-neg_binary64
373×log-div_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01158
127549
2452749
Stop Event
node limit
Counts
4 → 302
Calls
Call 1
Inputs
(/.f64 (/.f64 1/8 x) x)
(/.f64 (/.f64 (/.f64 1/8 x) x) x)
(-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))
(+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 x) (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 x) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 x) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2) (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (/.f64 1/8 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/8 (*.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -1 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (*.f64 (/.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 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simplify178.0ms (5.4%)

Algorithm
egg-herbie
Rules
274×log-prod_binary64
266×exp-prod_binary64
245×associate-*r*_binary64
230×associate-/l*_binary64
230×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06187645
116747223
262597223
Stop Event
node limit
Counts
350 → 427
Calls
Call 1
Inputs
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 -1/8 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/8 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (*.f64 x x)))) 1)
(*.f64 1/8 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 1/8 (/.f64 (/.f64 1 x) x))
(*.f64 1/8 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1/8 x) (/.f64 1 x))
(*.f64 (/.f64 1/8 (*.f64 x x)) 1)
(*.f64 1 (/.f64 1/8 (*.f64 x x)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2))
(*.f64 (pow.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (*.f64 (/.f64 1/2 (cbrt.f64 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 1/8) x) (/.f64 (sqrt.f64 1/8) x))
(*.f64 (sqrt.f64 (/.f64 1/8 x)) (*.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1 x)))
(*.f64 (/.f64 -1/8 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1/8 x))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 1/2 (cbrt.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) 1) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/8 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/8 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/8 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1/8 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 1/2 (cbrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 1/8 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 1/8 (*.f64 x x)) 3) 1/3)
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(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (exp.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 1 (exp.f64 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))) 1))
(fma.f64 x 1 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 x 1 (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(fma.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 1 (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 1 (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) 1 x)
(fma.f64 1 x (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 1 x (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(fma.f64 1 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 1 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 1 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x)
(fma.f64 1 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(fma.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) 2) (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) x)
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(fma.f64 (sqrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) x)
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 2))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))) x)
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 2)) (/.f64 1 (+.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 2)) (/.f64 1 (+.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
Outputs
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 2))
(/.f64 1/8 (*.f64 x x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 -1/8 (pow.f64 x 3))
(pow.f64 (/.f64 -1/2 x) 3)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(/.f64 -1/8 (pow.f64 x 3))
(pow.f64 (/.f64 -1/2 x) 3)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (*.f64 x x)))) 1)
(/.f64 1/8 (*.f64 x x))
(*.f64 1/8 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1/8 (*.f64 x x))
(*.f64 1/8 (/.f64 (/.f64 1 x) x))
(/.f64 1/8 (*.f64 x x))
(*.f64 1/8 (/.f64 1 (*.f64 x x)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 1/8 x) (/.f64 1 x))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 1/8 (*.f64 x x)) 1)
(/.f64 1/8 (*.f64 x x))
(*.f64 1 (/.f64 1/8 (*.f64 x x)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2))
(/.f64 1/8 (*.f64 x x))
(*.f64 (pow.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (*.f64 (/.f64 1/2 (cbrt.f64 x)) (/.f64 1 x)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 1/8) x) (/.f64 (sqrt.f64 1/8) x))
(pow.f64 (/.f64 (sqrt.f64 1/8) x) 2)
(*.f64 (sqrt.f64 (/.f64 1/8 x)) (*.f64 (sqrt.f64 (/.f64 1/8 x)) (/.f64 1 x)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 -1/8 x) (/.f64 1 (neg.f64 x)))
(/.f64 -1/8 (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 1/8 x))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 1/2 (cbrt.f64 x)) x))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) 1) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (/.f64 1/8 x)) (sqrt.f64 (pow.f64 (/.f64 1/2 x) 3)))
(*.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 1/8 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/8 x) (cbrt.f64 x)))
(*.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 1/8 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 1/8 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/8 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 1/8 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 1/8 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1/8 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1/8 (sqrt.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (/.f64 1/8 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1/8 x) (sqrt.f64 x)))
(*.f64 (/.f64 1/8 (sqrt.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (/.f64 1/8 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (/.f64 1/2 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 1/2 (cbrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1/8 (sqrt.f64 x)) (/.f64 1 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (/.f64 1/8 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 1/8 (*.f64 x x)) 1)
(/.f64 1/8 (*.f64 x x))
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(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
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(fma.f64 1 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))) x)
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
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(fma.f64 1 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (/.f64 -1/2 x))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) 2) x)
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) 2) (cbrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) x)
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (+.f64 (/.f64 -1/2 x) x))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) 2) (cbrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) (sqrt.f64 (-.f64 x (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))) x)
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 2))) x)
(fma.f64 (-.f64 (pow.f64 (-.f64 x (pow.f64 (/.f64 1/2 x) 3)) 3) (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (-.f64 x (pow.f64 (/.f64 1/2 x) 3))) (pow.f64 (-.f64 x (pow.f64 (/.f64 1/2 x) 3)) 2))) x)
(+.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) 3) (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/2 x) x) (pow.f64 (/.f64 1/2 x) 3)) (pow.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) 2))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (/.f64 1/2 x) 3) (+.f64 x (pow.f64 (/.f64 1/2 x) 3))))) (+.f64 x (/.f64 -1/2 x)))
(+.f64 (fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (/.f64 1/2 x) 6)))) (/.f64 -1/2 x)) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (pow.f64 (/.f64 1/2 x) 3) (+.f64 x (pow.f64 (/.f64 1/2 x) 3))))) (+.f64 x (/.f64 -1/2 x)))
(+.f64 (fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (/.f64 1/2 x) 6)))) (/.f64 -1/2 x)) x)
(fma.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) 2) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (pow.f64 (-.f64 x (pow.f64 (/.f64 1/2 x) 3)) 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1/2 x) (-.f64 x (pow.f64 (/.f64 1/2 x) 3)))) x)
(+.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))) 2) (/.f64 -1/4 (*.f64 x x))) (-.f64 (+.f64 (/.f64 1/2 x) x) (pow.f64 (/.f64 1/2 x) 3))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 2)) (/.f64 1 (+.f64 x (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 2)) (/.f64 1 (+.f64 x (pow.f64 (/.f64 1/2 x) 3))) (+.f64 x (/.f64 -1/2 x)))
(+.f64 (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (+.f64 x (pow.f64 (/.f64 1/2 x) 3))) (/.f64 -1/2 x)) x)
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 2)) (/.f64 1 (+.f64 x (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 2)) (/.f64 1 (+.f64 x (pow.f64 (/.f64 1/2 x) 3))) (+.f64 x (/.f64 -1/2 x)))
(+.f64 (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 6)) (/.f64 1 (+.f64 x (pow.f64 (/.f64 1/2 x) 3))) (/.f64 -1/2 x)) x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 -1/2 x))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 x (-.f64 x (/.f64 1/8 (pow.f64 x 3))))) (/.f64 -1/2 x))
(+.f64 x (-.f64 x (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 1/2 x))))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (-.f64 x (pow.f64 (/.f64 1/2 x) 3)))) (-.f64 (sqrt.f64 (-.f64 x (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3))))) (-.f64 (sqrt.f64 (+.f64 x (/.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (hypot.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1/2 x) 3/2))) (-.f64 (hypot.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1/2 x) 3/2)) (sqrt.f64 (/.f64 1/2 x))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (+.f64 (/.f64 -1/2 x) x))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 x) 3)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (/.f64 1/2 x) 3))) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(fma.f64 (+.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 x) 3)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (/.f64 1/2 x) 3))) (+.f64 x (/.f64 -1/2 x)))

eval282.0ms (8.6%)

Compiler

Compiled 11219 to 8052 computations (28.2% saved)

prune73.0ms (2.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4270427
Fresh000
Picked011
Done033
Total4274431
Error
0b
Counts
431 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
0.2b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
31.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b
(log.f64 (+.f64 x x))
Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes37.0ms (1.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (-.f64 x (*.f64 (/.f64 1/2 x) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))))
Outputs
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
Calls

3 calls:

26.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms
x
4.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.2b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 91 to 59 computations (35.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.2b remaining (-77.1%)

Threshold costs -0.2b (-77.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 15 to 9 computations (40% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
distribute-neg-frac_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01742
12442
23842
34642
45542
55842
65942
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x (-.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 (-.f64 x (/.f64 (/.f64 (/.f64 1/8 x) x) x)) (/.f64 -1/2 x))))
(log.f64 (+.f64 x (+.f64 (+.f64 x (/.f64 (/.f64 (/.f64 -1/8 x) x) x)) (/.f64 -1/2 x))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 31 to 20 computations (35.5% saved)

soundness72.0ms (2.2%)

Algorithm
egg-herbie
Rules
360×fma-neg_binary64
339×div-sub_binary64
334×log-prod_binary64
286×fma-def_binary64
234×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0172876
1392790
21306721
34914721
Stop Event
node limit
Compiler

Compiled 104 to 83 computations (20.2% saved)

end25.0ms (0.8%)

Compiler

Compiled 29 to 18 computations (37.9% saved)

Profiling

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