Details

Time bar (total: 4.5s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

sample628.0ms (13.9%)

Results
614.0ms8256×body256valid
Bogosity

preprocess13.0ms (0.3%)

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
(asinh.f64 x)
Outputs
(asinh.f64 x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
hypot-1-def_binary64
fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11514
21614
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
32.2b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

localize23.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
3.6b
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series17.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
5.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
3.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@-inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
1.0ms
x
@inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Compiler

Compiled 1335 to 1068 computations (20% saved)

rewrite51.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
646×pow1_binary64
600×add-log-exp_binary64
600×log1p-expm1-u_binary64
600×expm1-log1p-u_binary64
588×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
114216
2187316
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))))

simplify49.0ms (1.1%)

Algorithm
egg-herbie
Rules
436×unswap-sqr_binary64
336×associate-+l+_binary64
307×distribute-rgt-in_binary64
292×distribute-lft-in_binary64
269×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02261440
16401222
22165999
Stop Event
node limit
Counts
80 → 146
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 (/.f64 -1 x) 3))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (fabs.f64 x) x)))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (*.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (*.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4) (fma.f64 (*.f64 1/720 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))) (pow.f64 x 6) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 (+.f64 (/.f64 1/16 (+.f64 1 x)) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 1 x) 2)) (*.f64 1/720 (/.f64 30 (pow.f64 (+.f64 1 x) 3))))) (pow.f64 x 6) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 1 (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/2 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2)) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (/.f64 1 x) 2)) (/.f64 (fabs.f64 x) x)))
(+.f64 (+.f64 1 (log.f64 x)) (+.f64 (/.f64 (/.f64 1/2 x) x) -1/2))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2))) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 x) 3) (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3))) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/2 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 1 x) 2)) (/.f64 (fabs.f64 x) x))))
(+.f64 (fma.f64 1/2 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (/.f64 1 x) 2)) (/.f64 (fabs.f64 x) x)) (fma.f64 (/.f64 1/6 (pow.f64 x 3)) (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (log.f64 x)))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1/2 x) x) -1/2)) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (log.f64 x)))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/2 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 -1 x) 2)) (neg.f64 (/.f64 (fabs.f64 x) x))))
(-.f64 (fma.f64 1/2 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 2)) (/.f64 (neg.f64 (fabs.f64 x)) x)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) -3/2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 2) (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 (/.f64 -1 x) 3))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/2 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 (/.f64 -1 x) 2)) (fma.f64 1/6 (*.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (/.f64 -1 (pow.f64 x 3))) (neg.f64 (/.f64 (fabs.f64 x) x)))))
(-.f64 (fma.f64 1/2 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (/.f64 -1 x) 2)) (fma.f64 1/6 (*.f64 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 (/.f64 -1 x) 3)) (/.f64 (neg.f64 (fabs.f64 x)) x))) (log.f64 (/.f64 -1 x)))
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) -3/2) (-.f64 (*.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (/.f64 -1/6 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 x x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 x (+.f64 x (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (fabs.f64 x) x)))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/8 (pow.f64 (/.f64 1 x) 3) (+.f64 x (fabs.f64 x))))
(+.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
0
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (+.f64 (fabs.f64 x) (neg.f64 x))) (/.f64 1/2 x))
(+.f64 (-.f64 (fabs.f64 x) x) (-.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 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval83.0ms (1.8%)

Compiler

Compiled 2571 to 1689 computations (34.3% saved)

prune29.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13412146
Fresh000
Picked101
Done000
Total13512147
Error
0.0b
Counts
147 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
28.5b
(copysign.f64 (fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
28.5b
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
47.2b
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
20.5b
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
25.3b
(copysign.f64 (log1p.f64 x) x)
60.8b
(copysign.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))) x)
48.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
47.2b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
49.2b
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
49.3b
(copysign.f64 (log.f64 (+.f64 x x)) x)
57.1b
(copysign.f64 (log.f64 (+.f64 1 x)) x)
58.4b
(copysign.f64 (log.f64 (neg.f64 x)) x)
Compiler

Compiled 270 to 182 computations (32.6% saved)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize9.0ms (0.2%)

Compiler

Compiled 8 to 3 computations (62.5% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.6b
(log.f64 (+.f64 1 x))
Compiler

Compiled 16 to 11 computations (31.3% saved)

series207.0ms (4.6%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
203.0ms
x
@-inf
(log.f64 (+.f64 1 x))
2.0ms
x
@inf
(log.f64 (+.f64 1 x))
1.0ms
x
@0
(log.f64 (+.f64 1 x))
Compiler

Compiled 20740 to 18139 computations (12.5% saved)

rewrite37.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
466×pow1_binary64
455×add-sqr-sqrt_binary64
447×*-un-lft-identity_binary64
434×add-log-exp_binary64
434×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
1993
211683
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))

simplify55.0ms (1.2%)

Algorithm
egg-herbie
Rules
653×fma-neg_binary64
583×distribute-rgt-in_binary64
537×distribute-lft-in_binary64
326×fma-def_binary64
255×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079233
1201207
2598205
32939201
47695201
Stop Event
node limit
Counts
28 → 56
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 x) 3)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (log.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))
(fma.f64 (+.f64 1 (/.f64 -1/2 x)) (/.f64 1 x) (log.f64 x))
(fma.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1/2 x)) (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 x) 3)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))))
(fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (fma.f64 1/3 (/.f64 1 (pow.f64 x 3)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/2 (pow.f64 (/.f64 1 x) 2) (log.f64 x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 -1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1/2 (/.f64 1/3 x)) (log.f64 x)))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 x -1))))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)

localize9.0ms (0.2%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(+.f64 x (hypot.f64 1 x))
3.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 25 to 16 computations (36% saved)

series26.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
4.0ms
x
@inf
(log.f64 (+.f64 x (hypot.f64 1 x)))
3.0ms
x
@-inf
(+.f64 x (hypot.f64 1 x))
2.0ms
x
@inf
(+.f64 x (hypot.f64 1 x))
1.0ms
x
@0
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 1549 to 1350 computations (12.8% saved)

rewrite46.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
619×pow1_binary64
575×add-log-exp_binary64
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112116
2155916
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))))

simplify62.0ms (1.4%)

Algorithm
egg-herbie
Rules
890×fma-def_binary64
612×fma-neg_binary64
430×unswap-sqr_binary64
314×associate-+l+_binary64
216×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02251300
15781091
218071006
376961006
Stop Event
node limit
Counts
80 → 134
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 5/96 (pow.f64 (/.f64 1 x) 6)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -5/96 (pow.f64 (/.f64 -1 x) 6)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) (*.f64 1/16 (pow.f64 (/.f64 1 x) 5)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 1/16 (pow.f64 (/.f64 -1 x) 5))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 1/16 (pow.f64 (/.f64 -1 x) 5)) (*.f64 -5/128 (pow.f64 (/.f64 -1 x) 7)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))) (log.f64 x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (log.f64 2))))
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(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 x 1) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval67.0ms (1.5%)

Compiler

Compiled 2874 to 2026 computations (29.5% saved)

prune34.0ms (0.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1873190
Fresh257
Picked011
Done224
Total19111202
Error
0.0b
Counts
202 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
28.5b
(copysign.f64 (fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
47.2b
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
28.5b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
28.4b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
25.3b
(copysign.f64 (log1p.f64 x) x)
48.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
47.2b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
49.2b
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
49.3b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.4b
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.7b
(copysign.f64 x x)
Compiler

Compiled 217 to 152 computations (30% saved)

localize3.0ms (0.1%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize7.0ms (0.1%)

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series4.0ms (0.1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 -1/6 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 100 to 88 computations (12% saved)

rewrite46.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
505×pow1_binary64
499×add-sqr-sqrt_binary64
477×add-log-exp_binary64
477×log1p-expm1-u_binary64
477×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213257
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

simplify46.0ms (1%)

Algorithm
egg-herbie
Rules
1131×log-prod_binary64
483×exp-sum_binary64
413×distribute-rgt-in_binary64
406×distribute-lft-in_binary64
339×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046223
1111190
2340157
31964157
46097157
Stop Event
node limit
Counts
19 → 16
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
Outputs
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(+.f64 x (hypot.f64 1 x))
3.6b
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
3.6b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series13.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
3.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
1.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Compiler

Compiled 1001 to 880 computations (12.1% saved)

rewrite50.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
960×pow1_binary64
897×add-log-exp_binary64
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11839
226859
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)))))

simplify65.0ms (1.4%)

Algorithm
egg-herbie
Rules
814×times-frac_binary64
471×associate-+l+_binary64
466×distribute-rgt-in_binary64
425×distribute-lft-in_binary64
372×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01611095
14031017
214261006
369661006
Stop Event
node limit
Counts
53 → 88
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 5/96 (pow.f64 (/.f64 1 x) 6)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -5/96 (pow.f64 (/.f64 -1 x) 6)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (log.f64 x) (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (/.f64 (/.f64 1/4 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 5/96 (pow.f64 (/.f64 1 x) 6)) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (fma.f64 5/96 (pow.f64 (/.f64 1 x) 6) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4))))))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/4 (pow.f64 (/.f64 1 x) 2) (fma.f64 5/96 (pow.f64 (/.f64 1 x) 6) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (*.f64 5/96 (pow.f64 (/.f64 1 x) 6))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 2) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 (/.f64 (/.f64 1 x) x) -1/4 (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 3/32 (pow.f64 (/.f64 -1 x) 4) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 3/32 (pow.f64 (/.f64 -1 x) 4) (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 2) (log.f64 1/2))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 3/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 (/.f64 (/.f64 1 x) x) -1/4 (log.f64 1/2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -5/96 (pow.f64 (/.f64 -1 x) 6)) (+.f64 (*.f64 3/32 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -5/96 (pow.f64 (/.f64 -1 x) 6) (fma.f64 3/32 (pow.f64 (/.f64 -1 x) 4) (+.f64 (log.f64 1/2) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -5/96 (pow.f64 (/.f64 -1 x) 6) (fma.f64 3/32 (pow.f64 (/.f64 -1 x) 4) (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 2) (log.f64 1/2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -5/96 (pow.f64 (/.f64 1 x) 6) (fma.f64 3/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 (/.f64 (/.f64 1 x) x) -1/4 (log.f64 1/2)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (/.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 2 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (neg.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (/.f64 1 (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -2))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))) (-.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 0 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -2))) (-.f64 2 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) -1)
(log.f64 (+.f64 x (hypot.f64 1 x)))

localize48.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))
0.3b
(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))
0.7b
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
13.7b
(/.f64 (*.f64 x x) (+.f64 1 x))
Compiler

Compiled 124 to 84 computations (32.3% saved)

series169.0ms (3.7%)

Counts
4 → 46
Calls

12 calls:

TimeVariablePointExpression
142.0ms
x
@-inf
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
4.0ms
x
@0
(+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))
4.0ms
x
@inf
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
3.0ms
x
@-inf
(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))
3.0ms
x
@inf
(+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))
Compiler

Compiled 15964 to 13947 computations (12.6% saved)

rewrite83.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
574×fma-def_binary64
317×expm1-udef_binary64
317×log1p-udef_binary64
307×fma-neg_binary64
296×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01880
139976
2524676
Stop Event
node limit
Counts
4 → 162
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 1 x))
(fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
(/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))
(+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) 1) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) 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simplify109.0ms (2.4%)

Algorithm
egg-herbie
Rules
584×associate-/l*_binary64
275×fma-def_binary64
233×associate-*l*_binary64
215×associate-*r*_binary64
202×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05234869
113854573
244854548
Stop Event
node limit
Counts
208 → 327
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 x) 2)) x)) 1)
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 x) 2)) x)) 1)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x)))
(*.f64 -1/8 (pow.f64 (/.f64 1 x) -3))
(+.f64 (*.f64 5/8 x) (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))
(-.f64 (+.f64 (*.f64 5/8 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))) 3/4)
(-.f64 (+.f64 (*.f64 5/8 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)) (*.f64 15/8 (/.f64 1 x))))) 3/4)
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (*.f64 5/8 x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -3)))
-1/8
(-.f64 (*.f64 1/4 x) 1/8)
(-.f64 (+.f64 (*.f64 1/4 x) (*.f64 -3/8 (pow.f64 x 2))) 1/8)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/4 x) (*.f64 -3/8 (pow.f64 x 2)))) 1/8)
(*.f64 -1/8 (pow.f64 (/.f64 1 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4))))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4)))))
(*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2))
(+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2)))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2))))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 5)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2)))))
-1/4
(-.f64 (*.f64 3/8 x) 1/4)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x)) 1/4)
(-.f64 (+.f64 (*.f64 5/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x))) 1/4)
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 4))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 x) 4)) (*.f64 3/8 (pow.f64 (/.f64 1 x) 5)))) (*.f64 1/8 (/.f64 1 x)))
(/.f64 -1/8 x)
(-.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 4))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 4)) (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 5)))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(*.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) x))
(*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (+.f64 x 1)) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(+.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)))
(+.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(+.f64 (*.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) 1) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))
(+.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2)) (log1p.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))) 1)
(*.f64 1 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))
(*.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
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(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1))
(fma.f64 1 (/.f64 -1/8 (+.f64 x 1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 1 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (/.f64 1 (+.f64 x 1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 -1/8 (+.f64 x 1)) 1 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1/8 (/.f64 1 (+.f64 (neg.f64 x) -1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 1/8 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 1 (+.f64 x 1)) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 -1/8 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 -1/8 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (*.f64 x x)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 x (-.f64 (/.f64 1 x) 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 x) 2)) x)) 1)
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (pow.f64 (/.f64 1 x) 2) x) 1))
(+.f64 -1 (+.f64 x (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))))
(+.f64 -1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 x (-.f64 (/.f64 1 x) 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 x) 2)) x)) 1)
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (pow.f64 (/.f64 1 x) 2) x) 1))
(+.f64 -1 (+.f64 x (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))))
(+.f64 -1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 6) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -1/6 (pow.f64 x 6) x)))
(*.f64 -1/8 (pow.f64 (/.f64 1 x) -3))
(+.f64 (*.f64 5/8 x) (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 5/8 x (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (*.f64 x 5/8))
(-.f64 (+.f64 (*.f64 5/8 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)))) -3/4)
(+.f64 (fma.f64 x 5/8 (fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (log.f64 x))) -3/4)
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (log.f64 x)) (fma.f64 x 5/8 -3/4))
(-.f64 (+.f64 (*.f64 5/8 x) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) -3)) (*.f64 15/8 (/.f64 1 x))))) 3/4)
(+.f64 (fma.f64 5/8 x (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (/.f64 15/8 x)))) -3/4)
(+.f64 (+.f64 (fma.f64 x 5/8 (fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (log.f64 x))) (/.f64 15/8 x)) -3/4)
(+.f64 (+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 1 x) -3) (log.f64 x)) (/.f64 15/8 x)) (fma.f64 x 5/8 -3/4))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (*.f64 5/8 x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 5/8 x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 x 5/8 (*.f64 1/8 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 1/8 (pow.f64 (/.f64 -1 x) -3) (*.f64 x 5/8))
-1/8
(-.f64 (*.f64 1/4 x) 1/8)
(fma.f64 1/4 x -1/8)
(fma.f64 x 1/4 -1/8)
(-.f64 (+.f64 (*.f64 1/4 x) (*.f64 -3/8 (pow.f64 x 2))) 1/8)
(+.f64 (fma.f64 1/4 x (*.f64 -3/8 (*.f64 x x))) -1/8)
(fma.f64 x 1/4 (fma.f64 -3/8 (*.f64 x x) -1/8))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/4 x) (*.f64 -3/8 (pow.f64 x 2)))) 1/8)
(+.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 -3/8 (*.f64 x x)))) -1/8)
(fma.f64 (pow.f64 x 3) 1/2 (fma.f64 x 1/4 (fma.f64 -3/8 (*.f64 x x) -1/8)))
(*.f64 -1/8 (pow.f64 (/.f64 1 x) 2))
(*.f64 (pow.f64 (/.f64 1 x) 2) -1/8)
(*.f64 (/.f64 1 x) (/.f64 -1/8 x))
(+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(fma.f64 (/.f64 (/.f64 1 x) x) -1/8 (/.f64 1/4 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) -1/8 (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) 2) (fma.f64 1/4 (/.f64 1 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 (/.f64 (/.f64 1 x) x) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (*.f64 x x)) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 1 x) 5)) (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 1 x) 2)) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 1 x) 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) 5) (fma.f64 -1/8 (pow.f64 (/.f64 1 x) 2) (fma.f64 1/4 (/.f64 1 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4)))))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) 5) (fma.f64 (/.f64 (/.f64 1 x) x) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3)))))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) 5) (fma.f64 (/.f64 1 (*.f64 x x)) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3)))))
(*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2))
(*.f64 (pow.f64 (/.f64 1 x) 2) -1/8)
(*.f64 (/.f64 1 x) (/.f64 -1/8 x))
(+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2)))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(fma.f64 (/.f64 (/.f64 1 x) x) -1/8 (/.f64 1/4 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) -1/8 (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2))))
(fma.f64 -1/8 (pow.f64 (/.f64 1 x) 2) (fma.f64 1/4 (/.f64 1 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 (/.f64 1 x) 4))))
(fma.f64 (/.f64 (/.f64 1 x) x) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (*.f64 x x)) -1/8 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 5)) (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 2)))))
(fma.f64 -3/8 (pow.f64 (/.f64 -1 x) 4) (fma.f64 -1/4 (/.f64 -1 (pow.f64 x 3)) (fma.f64 -1/2 (pow.f64 (/.f64 -1 x) 5) (*.f64 (pow.f64 (/.f64 -1 x) 2) -1/8))))
(+.f64 (fma.f64 (pow.f64 (/.f64 -1 x) 2) -1/8 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) 5))) (fma.f64 -3/8 (pow.f64 (/.f64 -1 x) 4) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (fma.f64 -3/8 (pow.f64 (/.f64 1 x) 4) (/.f64 1/4 (pow.f64 x 3))) (fma.f64 -1/2 (pow.f64 (/.f64 -1 x) 5) (*.f64 (/.f64 1 x) (/.f64 -1/8 x))))
-1/4
(-.f64 (*.f64 3/8 x) 1/4)
(fma.f64 3/8 x -1/4)
(fma.f64 x 3/8 -1/4)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x)) 1/4)
(+.f64 (*.f64 -1/2 (*.f64 x x)) (fma.f64 3/8 x -1/4))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x 3/8 -1/4))
(-.f64 (+.f64 (*.f64 5/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 x))) 1/4)
(+.f64 (fma.f64 5/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 x 3/8))) -1/4)
(fma.f64 (pow.f64 x 3) 5/8 (fma.f64 -1/2 (*.f64 x x) (fma.f64 x 3/8 -1/4)))
(/.f64 -1/8 x)
(-.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 4))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 1/8 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) 4) -1/4)) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 1 x) 4) -1/4 (/.f64 -1/8 x)))
(+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 4) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 1 x) 3)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 x) 4)) (*.f64 3/8 (pow.f64 (/.f64 1 x) 5)))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 1/8 (/.f64 1 (pow.f64 x 3)) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 4) (*.f64 (pow.f64 (/.f64 1 x) 5) 3/8))) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (/.f64 1 x) 5) 3/8) (fma.f64 (pow.f64 (/.f64 1 x) 4) -1/4 (/.f64 -1/8 x))))
(+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 4) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 1 x) 5) 3/8 (/.f64 -1/8 x)))
(/.f64 -1/8 x)
(-.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 4))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 1/8 (/.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 1 x) 4) -1/4)) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 1 x) 4) -1/4 (/.f64 -1/8 x)))
(+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 4) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/8 x))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 4)) (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 5)))) (*.f64 1/8 (/.f64 1 x)))
(-.f64 (fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 4) (*.f64 -3/8 (pow.f64 (/.f64 -1 x) 5)))) (/.f64 1/8 x))
(+.f64 (fma.f64 -3/8 (pow.f64 (/.f64 -1 x) 5) (*.f64 -1/4 (pow.f64 (/.f64 -1 x) 4))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 x)))
(+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 4) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 -3/8 (pow.f64 (/.f64 -1 x) 5) (/.f64 -1/8 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) x))) 1)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1) x)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1))))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1)))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) x))
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1)
(/.f64 (*.f64 x x) (+.f64 x 1))
(*.f64 x (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) -2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1)))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3) (pow.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)) 3)) (+.f64 (*.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)) (-.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))) (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3) (pow.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)) 3)) (+.f64 (*.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)) (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))) (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8))))
(/.f64 (fma.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)) (neg.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)) 2))) (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (neg.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (neg.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)) 2))) (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (pow.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)) 2)) (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2) (pow.f64 x 8)) (pow.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)) 2)) (-.f64 (*.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x))))
(pow.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 1)
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 3) 1/3)
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 3)
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 2)
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 2))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (exp.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) (exp.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) (exp.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4))) (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x))) 3))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) 1/2 (log1p.f64 x)))) 1))
(fma.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (pow.f64 x 4) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) 1/2 (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 (/.f64 x (+.f64 x 1)) (*.f64 x 1/2) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 x 1)) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))) 1)
(*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))
(*.f64 1 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
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(/.f64 (fma.f64 1/8 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 (neg.f64 x) -1) -1/8)) (*.f64 (+.f64 (neg.f64 x) -1) (pow.f64 (+.f64 x 1) 2)))
(*.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 -1/8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 -1 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 (+.f64 x 1) -8) 1/8)) (*.f64 (*.f64 (+.f64 x 1) -8) (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -1) (+.f64 -1 (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 -8 (+.f64 -1 (neg.f64 x)))))
(/.f64 (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (+.f64 x 1) 3) 8))
(/.f64 (fma.f64 -1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 x 1) 1/8)) (*.f64 (+.f64 x 1) (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 -1/8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 (neg.f64 x) -1) 1/8)) (*.f64 (+.f64 (neg.f64 x) -1) (neg.f64 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (fma.f64 1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 1/8 (+.f64 -1 (neg.f64 x)))) (neg.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 -1 (neg.f64 x)))))
(/.f64 (*.f64 1/8 (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (+.f64 x 1) 3))
(/.f64 1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (fma.f64 (+.f64 x 1) -8 (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) 1)) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) (*.f64 (+.f64 x 1) -8)))
(/.f64 (fma.f64 (pow.f64 (+.f64 x 1) 2) -8 (*.f64 (+.f64 x 1) -8)) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) -8) -8))
(/.f64 (*.f64 -8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (*.f64 (pow.f64 (+.f64 x 1) 3) 64))
(/.f64 (fma.f64 -1/8 (*.f64 (+.f64 x 1) -8) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) -8)))
(/.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) 1))) (*.f64 (pow.f64 (+.f64 x 1) 3) -8))
(/.f64 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2))) (*.f64 (pow.f64 (+.f64 x 1) 3) -8))
(/.f64 (fma.f64 1/8 (*.f64 (+.f64 x 1) -8) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 1)) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (+.f64 x 1) -8)))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -1) (+.f64 -1 (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 -8 (+.f64 -1 (neg.f64 x)))))
(/.f64 (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (+.f64 x 1) 3) 8))
(/.f64 (+.f64 (+.f64 x 1) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) -1/8)) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) (+.f64 x 1)))
(/.f64 (+.f64 x (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 2) 1))) (*.f64 (pow.f64 (+.f64 x 1) 3) -8))
(/.f64 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2))) (*.f64 (pow.f64 (+.f64 x 1) 3) -8))
(/.f64 (fma.f64 1/8 (+.f64 x 1) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) -1/8)) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)))
(*.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 -1/8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 -1 (+.f64 x 1) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) 1/8)) (*.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -8) (+.f64 (neg.f64 x) -1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) -1) (+.f64 -1 (neg.f64 x))) (*.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 -8 (+.f64 -1 (neg.f64 x)))))
(/.f64 (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (+.f64 x 1) 3) 8))
(/.f64 (fma.f64 -1/8 (+.f64 (neg.f64 x) -1) (*.f64 (pow.f64 (+.f64 x 1) 2) 1/8)) (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (neg.f64 x) -1)))
(*.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 -1/8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (fma.f64 1/8 (+.f64 (neg.f64 x) -1) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) 1/8)) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (neg.f64 x) -1)))
(/.f64 (fma.f64 1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 1/8 (+.f64 -1 (neg.f64 x)))) (neg.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 -1 (neg.f64 x)))))
(/.f64 (*.f64 1/8 (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (+.f64 x 1) 3))
(/.f64 1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (-.f64 -1 x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4)) (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (-.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2)) (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (+.f64 (/.f64 -1/8 (+.f64 x 1)) (*.f64 1/8 (pow.f64 (+.f64 x 1) -2))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2)) (/.f64 -1/64 (pow.f64 (+.f64 x 1) 4))) (fma.f64 1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))
(/.f64 (/.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))
(*.f64 (fma.f64 (+.f64 x 1) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 -1/8 (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))) (pow.f64 (+.f64 x 1) 3))
(/.f64 -1/8 (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 2)))))
(pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 1)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3) 1/3)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 3)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(pow.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 2)
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 2))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (exp.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/8 (+.f64 x 1)))) (pow.f64 (exp.f64 -1/8) (pow.f64 (+.f64 x 1) -2))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/8 (+.f64 x 1))) (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/8 (+.f64 x 1)))) (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))) (exp.f64 (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/8) (pow.f64 (+.f64 x 1) -2)) (+.f64 1 (expm1.f64 (/.f64 -1/8 (+.f64 x 1))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))) (+.f64 1 (expm1.f64 (/.f64 -1/8 (+.f64 x 1))))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1))) 3))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(exp.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))) 1))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1 (/.f64 -1/8 (+.f64 x 1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (/.f64 1 (+.f64 x 1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 -1/8 (+.f64 x 1)) 1 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) 1 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 1/8 (/.f64 1 (+.f64 (neg.f64 x) -1)) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 1/8 (/.f64 1 (+.f64 -1 (neg.f64 x))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(+.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)) (/.f64 1/8 (-.f64 -1 x)))
(-.f64 (/.f64 1/8 (-.f64 -1 x)) (*.f64 1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 1/8 (/.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 4))) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (cbrt.f64 (/.f64 -1/8 (+.f64 x 1))) (cbrt.f64 (/.f64 1/64 (pow.f64 (+.f64 x 1) 2))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 (sqrt.f64 -1/8) (+.f64 x 1)) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 1/8 (neg.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 -1/8 (+.f64 x 1)))
(+.f64 (/.f64 -1/8 (+.f64 x 1)) (/.f64 -1/8 (pow.f64 (+.f64 x 1) 2)))
(fma.f64 (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (sqrt.f64 (/.f64 -1/8 (+.f64 x 1))) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 1 (+.f64 x 1)) -1/8 (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) -2) -1/8 (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 -1/8 (pow.f64 (+.f64 x 1) -2) (/.f64 -1/8 (+.f64 x 1)))
(fma.f64 (/.f64 -1/8 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 -1/8 (+.f64 (pow.f64 x 3) 1)) (fma.f64 x (+.f64 x -1) 1) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))
(fma.f64 (/.f64 -1/8 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (*.f64 -1/8 (pow.f64 (+.f64 x 1) -2)))

eval383.0ms (8.4%)

Compiler

Compiled 16393 to 11902 computations (27.4% saved)

prune119.0ms (2.6%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New5614565
Fresh033
Picked101
Done257
Total56412576
Error
0b
Counts
576 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
28.6b
(copysign.f64 (fma.f64 (-.f64 (*.f64 3/8 x) 1/4) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
60.5b
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
59.7b
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
28.5b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x)
28.5b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
28.4b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
25.3b
(copysign.f64 (log1p.f64 x) x)
48.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
49.2b
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
49.3b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.4b
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.7b
(copysign.f64 x x)
Compiler

Compiled 234 to 167 computations (28.6% saved)

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 3/40 (pow.f64 x 5))
0.1b
(*.f64 -1/6 (pow.f64 x 3))
18.4b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
Compiler

Compiled 57 to 43 computations (24.6% saved)

series15.0ms (0.3%)

Counts
2 → 18
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
(*.f64 3/40 (pow.f64 x 5))
1.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
1.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
1.0ms
x
@-inf
(*.f64 3/40 (pow.f64 x 5))
1.0ms
x
@inf
(*.f64 3/40 (pow.f64 x 5))
Compiler

Compiled 270 to 231 computations (14.4% saved)

rewrite63.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
556×log-prod_binary64
547×fma-def_binary64
332×pow2_binary64
319×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
127922
2351822
Stop Event
node limit
Counts
2 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 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egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))))

simplify82.0ms (1.8%)

Algorithm
egg-herbie
Rules
793×fma-def_binary64
791×fma-neg_binary64
377×distribute-rgt-in_binary64
360×distribute-lft-in_binary64
251×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02842299
17072252
218552204
372082204
Stop Event
node limit
Counts
122 → 138
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (+.f64 (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (+.f64 (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)) x))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)) x))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)) x))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (*.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 x 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (*.f64 x x) (*.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)))
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (+.f64 (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)) x))
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) (fma.f64 3/40 (pow.f64 (/.f64 1 x) -5) x))
(fma.f64 3/40 (pow.f64 (/.f64 1 x) -5) (fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) x))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) (+.f64 (*.f64 3/40 (pow.f64 (/.f64 1 x) -5)) x))
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) (fma.f64 3/40 (pow.f64 (/.f64 1 x) -5) x))
(fma.f64 3/40 (pow.f64 (/.f64 1 x) -5) (fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) x))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 -3/40 (pow.f64 (/.f64 -1 x) -5) (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)) x))
(fma.f64 -3/40 (pow.f64 (/.f64 -1 x) -5) (fma.f64 1/6 (pow.f64 (/.f64 -1 x) -3) x))
(+.f64 (*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)) x))
(fma.f64 -3/40 (pow.f64 (/.f64 -1 x) -5) (fma.f64 1/6 (pow.f64 (/.f64 -1 x) -3) x))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 3/40 (pow.f64 (/.f64 1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(*.f64 -3/40 (pow.f64 (/.f64 -1 x) -5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (-.f64 (*.f64 -3/40 (pow.f64 x 5)) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2) (*.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x x (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 9/1600))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 15) 27/64000 (pow.f64 x 3)) (fma.f64 x (fma.f64 -3/40 (pow.f64 x 5) x) (*.f64 (pow.f64 x 10) 9/1600))))
(fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 10) 9/1600 (*.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 (pow.f64 x 10) 9/1600 (*.f64 x (neg.f64 x))) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1 x)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))) x)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (pow.f64 (cbrt.f64 x) 5)) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 3/40 (*.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5)) (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 9/1600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 27/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(sqrt.f64 (*.f64 (pow.f64 x 10) 9/1600))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))
(*.f64 3/40 (pow.f64 x 5))

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.6b
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 36 to 24 computations (33.3% saved)

rewrite42.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
553×pow1_binary64
521×add-log-exp_binary64
521×log1p-expm1-u_binary64
521×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11151
216631
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))))

simplify29.0ms (0.6%)

Algorithm
egg-herbie
Rules
855×fma-def_binary64
675×distribute-rgt-in_binary64
610×distribute-lft-in_binary64
370×times-frac_binary64
202×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087235
1224214
21117206
Stop Event
node limit
Counts
49 → 44
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (+.f64 x -1) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x (+.f64 x -2))) (-.f64 2 x))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x

localize10.0ms (0.2%)

Compiler

Compiled 15 to 4 computations (73.3% saved)

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 22 computations (38.9% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

Compiled 206 to 164 computations (20.4% saved)

rewrite59.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
925×pow1_binary64
871×add-log-exp_binary64
871×log1p-expm1-u_binary64
871×expm1-log1p-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114917
2232917
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(+.f64 x (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (/.f64 1 (-.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))) (neg.f64 (-.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (pow.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)))))

simplify47.0ms (1%)

Algorithm
egg-herbie
Rules
378×associate-/l*_binary64
374×unswap-sqr_binary64
355×distribute-rgt-in_binary64
308×cancel-sign-sub-inv_binary64
307×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661263
14221153
216551065
Stop Event
node limit
Counts
93 → 91
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(*.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(-.f64 (+.f64 1 (+.f64 x (/.f64 1/2 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(fma.f64 1/2 (pow.f64 x -1) x)
(fma.f64 1 x (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)
Outputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x (/.f64 1/2 x)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(*.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 1 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) -1/2))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) -1/2))
(/.f64 1 (/.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) -1/2))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x (/.f64 1/2 x))))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) -1/2))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (-.f64 (/.f64 1/2 x) x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) -1/2))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (-.f64 x (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 (/.f64 1/2 x) (+.f64 x x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (pow.f64 (/.f64 1/2 x) 2) (/.f64 x x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 x (*.f64 x 4)) (fma.f64 1/4 (pow.f64 x -2) -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 x (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/2 x)) (/.f64 -1/2 x))
(/.f64 (+.f64 1 (*.f64 1/4 (pow.f64 x -2))) (/.f64 1/2 x))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (pow.f64 (/.f64 1/2 x) 2)) (+.f64 x (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (/.f64 1/2 x) 2)) (fma.f64 x 2 (/.f64 -1/2 x)))
(/.f64 (fma.f64 x (*.f64 x 4) (*.f64 -1/4 (pow.f64 x -2))) (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 1)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3) 1/3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 3)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) 2)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 2))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (exp.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 1 (+.f64 x (/.f64 1/2 x))) 1)
(+.f64 x (/.f64 1/2 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 1/2 x))) (/.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(*.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(*.f64 1 (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(+.f64 x (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 x x -1/2)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 x x -1/2)))
(/.f64 1 (/.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 x x -1/2)))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (/.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 x x -1/2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (fma.f64 x x -1/2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 1/2 x) 2) (*.f64 x x)) (-.f64 (/.f64 1/2 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2)) (-.f64 x (/.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/4 (pow.f64 x -2))) (+.f64 x (/.f64 -1/2 x)))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(+.f64 x (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(+.f64 x (/.f64 1/2 x))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(+.f64 x (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(fma.f64 1/2 (pow.f64 x -1) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 1 x (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)
(+.f64 x (/.f64 1/2 x))

localize21.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -1/6 (pow.f64 x 3))
3.6b
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
Compiler

Compiled 53 to 41 computations (22.6% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
1.0ms
x
@-inf
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
1.0ms
x
@inf
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
Compiler

Compiled 114 to 93 computations (18.4% saved)

rewrite57.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
553×fma-def_binary64
417×log-prod_binary64
323×fma-neg_binary64
316×exp-prod_binary64
295×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
12368
231798
Stop Event
node limit
Counts
1 → 116
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 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egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))))

simplify76.0ms (1.7%)

Algorithm
egg-herbie
Rules
402×associate-+l+_binary64
326×fma-neg_binary64
314×associate-+r+_binary64
310×cancel-sign-sub-inv_binary64
240×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02842157
16832028
219141992
374331992
Stop Event
node limit
Counts
128 → 143
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))
(+.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2)) (-.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (sqrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(hypot.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1/3))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (*.f64 (*.f64 x x) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1 0)
(fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1 -1)
(fma.f64 (*.f64 x x) (*.f64 x -1/6) x)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) -1)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) -1)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)) -1)
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -3))
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) x)
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) x)
(+.f64 (*.f64 -1/6 (pow.f64 (/.f64 1 x) -3)) x)
(fma.f64 -1/6 (pow.f64 (/.f64 1 x) -3) x)
(*.f64 1/6 (pow.f64 (/.f64 -1 x) -3))
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 x (*.f64 1/6 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
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(+.f64 x (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)
(+.f64 x (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) 0)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 2 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))) 0)
(*.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) 0)
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(fma.f64 -1/6 (pow.f64 x 3) x)

eval192.0ms (4.2%)

Compiler

Compiled 8239 to 5972 computations (27.5% saved)

prune85.0ms (1.9%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New4435448
Fresh112
Picked011
Done099
Total44416460
Error
0b
Counts
460 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
28.2b
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
43.0b
(copysign.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) x)
28.4b
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
60.5b
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
59.7b
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
28.5b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x)
28.5b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
28.4b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
28.2b
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
25.3b
(copysign.f64 (log1p.f64 x) x)
48.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
49.2b
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
49.3b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.4b
(copysign.f64 (log.f64 (neg.f64 x)) x)
27.7b
(copysign.f64 x x)
Compiler

Compiled 188 to 134 computations (28.7% saved)

regimes67.0ms (1.5%)

Counts
26 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x)
(copysign.f64 (/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)))) x)
(copysign.f64 (fma.f64 (-.f64 (*.f64 3/8 x) 1/4) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
(copysign.f64 (fma.f64 (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
Calls

2 calls:

42.0ms
x
13.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 323 to 208 computations (35.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008397442314615904
11.551868169828568
0.0ms
-33.34261406353004
-0.0007126970146479157
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes53.0ms (1.2%)

Counts
22 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
Calls

2 calls:

35.0ms
x
11.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 229 to 146 computations (36.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0008397442314615904
11.551868169828568
0.0ms
-33.34261406353004
-0.0007126970146479157
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (0.8%)

Counts
18 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
Calls

1 calls:

30.0ms
x
Results
ErrorSegmentsBranch
0.0b3x
Compiler

Compiled 162 to 106 computations (34.6% saved)

bsearch37.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.00015822920824390746
0.0008397443301553965
20.0ms
-151176158138313.3
-0.0007126970749822428
Results
34.0ms256×body256valid
Compiler

Compiled 357 to 266 computations (25.5% saved)

regimes35.0ms (0.8%)

Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 137 to 90 computations (34.3% saved)

bsearch34.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
0.00015822920824390746
0.0008397443301553965
22.0ms
-151176158138313.3
-0.0007126970749822428
Results
31.0ms256×body256valid
Compiler

Compiled 333 to 242 computations (27.3% saved)

regimes30.0ms (0.7%)

Counts
15 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
Calls

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 129 to 85 computations (34.1% saved)

bsearch47.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
0.0008397443301553965
51985.54557317168
21.0ms
-151176158138313.3
-0.0007126970749822428
Results
43.0ms304×body256valid
Compiler

Compiled 414 to 296 computations (28.5% saved)

regimes24.0ms (0.5%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 101 to 66 computations (34.7% saved)

bsearch40.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.0008397443301553965
51985.54557317168
23.0ms
-151176158138313.3
-0.0007126970749822428
Results
36.0ms304×body256valid
Compiler

Compiled 378 to 269 computations (28.8% saved)

regimes23.0ms (0.5%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 92 to 60 computations (34.8% saved)

bsearch50.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
0.0008397443301553965
51985.54557317168
26.0ms
-151176158138313.3
-0.0007126970749822428
Results
46.0ms304×body256valid
Compiler

Compiled 264 to 174 computations (34.1% saved)

regimes21.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
10.7b3x
Compiler

Compiled 86 to 56 computations (34.9% saved)

bsearch40.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.0008397443301553965
51985.54557317168
20.0ms
-151176158138313.3
-0.0007126970749822428
Results
36.0ms304×body256valid
Compiler

Compiled 254 to 164 computations (35.4% saved)

regimes21.0ms (0.5%)

Counts
9 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
20.5b2x
Compiler

Compiled 80 to 53 computations (33.8% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-151176158138313.3
-0.0007126970749822428
Results
18.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes15.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
(copysign.f64 (log1p.f64 x) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
24.1b2x
Compiler

Compiled 69 to 46 computations (33.3% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.0008397443301553965
51985.54557317168
Results
15.0ms144×body256valid
Compiler

Compiled 116 to 75 computations (35.3% saved)

regimes11.0ms (0.2%)

Accuracy

Total -32.6b remaining (-117.7%)

Threshold costs -32.6b (-117.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (-.f64 (+.f64 1 x) 1) x)
(copysign.f64 (/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2)) x)
(copysign.f64 (*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2))) x)
(copysign.f64 (/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))) x)
(copysign.f64 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x)) x)
Outputs
(copysign.f64 x x)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
27.7b1x
Compiler

Compiled 65 to 44 computations (32.3% saved)

simplify15.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
093494
1115494
2118494
3119494
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) x))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 6))))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 48999163945791/72057594037927936) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 6980579422424269/4503599627370496) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 339 to 227 computations (33% saved)

soundness218.0ms (4.8%)

Algorithm
egg-herbie
Rules
436×unswap-sqr_binary64
436×unswap-sqr_binary64
436×unswap-sqr_binary64
336×associate-+l+_binary64
336×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11514
21614
02261440
16401222
22165999
01017
11514
21614
02261440
16401222
22165999
01017
11514
21614
02261440
16401222
22165999
Stop Event
node limit
saturated
node limit
saturated
node limit
saturated
Compiler

Compiled 1365 to 1044 computations (23.5% saved)

end178.0ms (3.9%)

Compiler

Compiled 329 to 201 computations (38.9% saved)

Profiling

Loading profile data...