Details

Time bar (total: 6.3s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.8%0.1%0%0.1%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample936.0ms (14.8%)

Results
926.0ms8254×body256valid
0.0msbody1024valid
0.0msbody256infinite
0.0msbody512valid
Bogosity

preprocess15.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1155
2165
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1155
2165
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

eval1.0ms (0%)

Compiler

Compiled 14 to 12 computations (14.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
0.1b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Compiler

Compiled 15 to 13 computations (13.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.1b
(*.f64 (/.f64 841 108) x)
Compiler

Compiled 26 to 23 computations (11.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@0
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(*.f64 (/.f64 841 108) x)
0.0ms
x
@inf
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.0ms
x
@0
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite49.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
901×pow1_binary64
858×add-log-exp_binary64
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
849×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
12189
222639
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify41.0ms (0.7%)

Algorithm
egg-herbie
Rules
716×fma-def_binary64
430×times-frac_binary64
426×associate-/l*_binary64
317×fma-neg_binary64
313×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103568
1242538
2788506
33794464
Stop Event
node limit
Counts
67 → 57
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 x 29/27))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 841/108 x -4/29) 707281/11664)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) x)) 707281/11664 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 (*.f64 x x) 707281/11664 -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) 4/29)
(fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 841/108 x 4/29)
0.0ms
x
@0
(fma.f64 841/108 x 4/29)
0.0ms
x
@inf
(fma.f64 841/108 x 4/29)

rewrite37.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11025
210725
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 841/108 x 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))))

simplify42.0ms (0.7%)

Algorithm
egg-herbie
Rules
392×log-prod_binary64
332×associate-*l*_binary64
313×fma-neg_binary64
288×associate-*r*_binary64
286×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063244
1126229
2494212
33097211
45929211
Stop Event
node limit
Counts
36 → 36
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 0 (fma.f64 841/108 x 4/29))
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 0 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) (-.f64 16/841 (*.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (-.f64 16/841 (*.f64 x 29/27)) (*.f64 (*.f64 x x) 707281/11664)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (*.f64 x -29/27) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 -29/27 (*.f64 x 707281/11664)))))
(/.f64 (fma.f64 (*.f64 841/108 x) (*.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 -16/841 (*.f64 (*.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)

eval36.0ms (0.6%)

Compiler

Compiled 979 to 783 computations (20% saved)

prune18.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85893
Fresh000
Picked011
Done101
Total86995
Error
0b
Counts
95 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
17.9b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.8b
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
30.9b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
0.8b
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
0.1b
(+.f64 (*.f64 841/108 x) 4/29)
24.1b
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
31.4b
(*.f64 841/108 x)
31.4b
4/29
Compiler

Compiled 153 to 126 computations (17.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 841/108 x)
0.0ms
x
@inf
(*.f64 841/108 x)
0.0ms
x
@inf
(+.f64 (*.f64 841/108 x) 4/29)
0.0ms
x
@-inf
(+.f64 (*.f64 841/108 x) 4/29)
0.0ms
x
@0
(+.f64 (*.f64 841/108 x) 4/29)

rewrite44.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
642×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
597×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11339
215879
Stop Event
node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 841/108 x) 2) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
671×fma-neg_binary64
411×associate-*l*_binary64
385×associate-*r*_binary64
368×cancel-sign-sub-inv_binary64
311×log-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101512
1232487
2781413
34702408
Stop Event
node limit
Counts
55 → 52
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))
(*.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 841/108 x) 2) (*.f64 x 29/27))))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)) (-.f64 4/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (fma.f64 x -29/27 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(*.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (fma.f64 x -29/27 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)))
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (fma.f64 x -29/27 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 841/108 x) 2) (*.f64 x 29/27))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (fma.f64 x -29/27 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (fma.f64 x -29/27 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 2) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 841/108 x) 2)) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 841/108 x) 2) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 841/108 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 4/29 (*.f64 841/108 x))
0.1b
(*.f64 841/108 x)
0.2b
(*.f64 (*.f64 x x) 707281/11664)
16.5b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 (*.f64 x x) 707281/11664)
0.0ms
x
@0
(*.f64 (*.f64 x x) 707281/11664)
0.0ms
x
@-inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

rewrite108.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
623×log-prod_binary64
548×prod-diff_binary64
244×fma-def_binary64
226×pow1/3_binary64
226×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233
128021
2380317
Stop Event
node limit
Counts
3 → 246
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 (*.f64 x x) 707281/11664)
(-.f64 4/29 (*.f64 841/108 x))
Outputs
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simplify412.0ms (6.5%)

Algorithm
egg-herbie
Rules
411×fma-neg_binary64
279×div-sub_binary64
182×times-frac_binary64
173×associate-+r+_binary64
172×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06378119
115916018
260464645
Stop Event
node limit
Counts
282 → 308
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
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(+.f64 (fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (*.f64 (fma.f64 x 841/108 4/29) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 (*.f64 x x) -707281/11664 16/841))))) (fma.f64 (neg.f64 (fma.f64 x 841/108 4/29)) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 (*.f64 x x) -707281/11664 16/841)) (*.f64 (fma.f64 x 841/108 4/29) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (fma.f64 (*.f64 x x) -707281/11664 16/841)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 x -841/108 4/29)))
(*.f64 (fma.f64 x 841/108 4/29) 1)
(*.f64 1 (fma.f64 x 841/108 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (/.f64 1 (neg.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (fma.f64 (*.f64 x x) -707281/11664 16/841))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (neg.f64 (fma.f64 x -841/108 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (*.f64 x 841/108) 1 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4/29)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 707281/11664)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) 4/29)
(fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (/.f64 16/841 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(+.f64 0 (*.f64 (*.f64 x x) 707281/11664))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 707281/11664))) 1)
(pow.f64 (*.f64 (*.f64 x x) 707281/11664) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 707281/11664))))
(cbrt.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 707281/11664)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 707281/11664)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1))
(+.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (*.f64 (*.f64 x -841/108) 1))
(+.f64 (*.f64 x -841/108) 4/29)
(+.f64 0 (fma.f64 x -841/108 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 x 841/108 4/29)))
(*.f64 (fma.f64 x -841/108 4/29) 1)
(*.f64 1 (fma.f64 x -841/108 4/29))
(*.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(*.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3)) (/.f64 1 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x 841/108 4/29))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))))
(/.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (neg.f64 (fma.f64 x 841/108 4/29)))
(/.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3)) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))
(/.f64 (neg.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) (neg.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)) (*.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) (-.f64 4/29 (*.f64 x -841/108)))
(pow.f64 (fma.f64 x -841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x -841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x -841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -841/108 4/29)) 1))
(fma.f64 x -841/108 4/29)
(fma.f64 841/108 (neg.f64 x) 4/29)
(fma.f64 1 (*.f64 x -841/108) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (*.f64 x 841/108))) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 841/108)) (neg.f64 (sqrt.f64 (*.f64 x 841/108))) 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x -841/108)) (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x -841/108)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)) 4/29)
(fma.f64 -1 (*.f64 x 841/108) 4/29)
(fma.f64 (neg.f64 x) 841/108 4/29)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (*.f64 -841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 -841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
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(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 x -841/108 4/29) 1)
(fma.f64 x -841/108 4/29)
(*.f64 1 (fma.f64 x -841/108 4/29))
(fma.f64 x -841/108 4/29)
(*.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(fma.f64 x -841/108 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(*.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3)) (/.f64 1 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x 841/108 4/29))
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(/.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)))
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (neg.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(/.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3)) (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(/.f64 (neg.f64 (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) (neg.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108)) (*.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x -841/108) (*.f64 x -841/108))) (-.f64 4/29 (*.f64 x -841/108)))
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 x -841/108 4/29) 1)
(fma.f64 x -841/108 4/29)
(pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) 1/3)
(fma.f64 x -841/108 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 3)
(fma.f64 x -841/108 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)
(fma.f64 x -841/108 4/29)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (*.f64 x 841/108) 3))) -1)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841))
(pow.f64 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)) -1)
(*.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(fma.f64 x -841/108 4/29)
(log.f64 (exp.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -841/108 4/29))))
(fma.f64 x -841/108 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3))
(fma.f64 x -841/108 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(exp.f64 (log.f64 (fma.f64 x -841/108 4/29)))
(fma.f64 x -841/108 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -841/108 4/29)) 1))
(fma.f64 x -841/108 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 841/108 (neg.f64 x) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 1 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (*.f64 x 841/108))) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 841/108)) (neg.f64 (sqrt.f64 (*.f64 x 841/108))) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x -841/108)) (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x -841/108)) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 -1 (*.f64 x 841/108) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (neg.f64 x) 841/108 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 841/108))) (sqrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (*.f64 -841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 (*.f64 -841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(fma.f64 x -841/108 4/29)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
0.8b
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)

rewrite43.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
813×pow1_binary64
768×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11785
222975
Stop Event
node limit
Counts
1 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 841/108 x) -25/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 841/108 x 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 841/108 x) 33/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 841/108 x) -25/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 841/108 x 4/29) 2) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (+.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (-.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)) (neg.f64 (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 841/108 x) -25/29) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29)) (+.f64 (*.f64 841/108 x) -25/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29))) (-.f64 1 (+.f64 (*.f64 841/108 x) -25/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 841/108 x) 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)))))

simplify47.0ms (0.7%)

Algorithm
egg-herbie
Rules
636×fma-neg_binary64
635×times-frac_binary64
631×div-sub_binary64
630×fma-def_binary64
343×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0109597
1291523
21208517
35234507
Stop Event
node limit
Counts
55 → 63
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 1 (+.f64 (*.f64 841/108 x) -25/29))
(+.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) 1))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 -1 (+.f64 (*.f64 841/108 x) 33/29))
(+.f64 (+.f64 (*.f64 841/108 x) -25/29) 1)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 841/108 x 4/29) 2) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (+.f64 (fma.f64 841/108 x 4/29) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (-.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)) (neg.f64 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 841/108 x) -25/29) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29)) (+.f64 (*.f64 841/108 x) -25/29))))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29))) (-.f64 1 (+.f64 (*.f64 841/108 x) -25/29)))
(/.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 1 (+.f64 (*.f64 841/108 x) 33/29) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 1 (+.f64 (*.f64 841/108 x) -25/29))
(fma.f64 841/108 x 4/29)
(+.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) 1))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 -1 (+.f64 (*.f64 841/108 x) 33/29))
(fma.f64 841/108 x 4/29)
(+.f64 (+.f64 (*.f64 841/108 x) -25/29) 1)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (fma.f64 841/108 x 62/29))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 841/108 x 4/29) 2) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (fma.f64 841/108 x 62/29))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (+.f64 (fma.f64 841/108 x 4/29) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (fma.f64 841/108 x 62/29))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (-.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (fma.f64 841/108 x 62/29))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)) (neg.f64 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (fma.f64 841/108 x 62/29))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 841/108 x) -25/29) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29)) (+.f64 (*.f64 841/108 x) -25/29))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x -25/29) 3)) (+.f64 1 (fma.f64 (fma.f64 841/108 x -25/29) (fma.f64 841/108 x -25/29) (neg.f64 (fma.f64 841/108 x -25/29)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x -25/29) 3)) (+.f64 1 (*.f64 (fma.f64 841/108 x -25/29) (-.f64 (fma.f64 841/108 x -25/29) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x -25/29) 3)) (fma.f64 (fma.f64 841/108 x -25/29) (+.f64 (*.f64 841/108 x) -54/29) 1))
(/.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 (*.f64 x 707281/11664) x 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (*.f64 x (-.f64 29/27 (*.f64 x 707281/11664)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29))) (-.f64 1 (+.f64 (*.f64 841/108 x) -25/29)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 841/108 x -25/29) (fma.f64 841/108 x -25/29))) (-.f64 1 (fma.f64 841/108 x -25/29)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 841/108 x -25/29) (fma.f64 841/108 x -25/29))) (-.f64 54/29 (*.f64 841/108 x)))
(/.f64 (fma.f64 (fma.f64 841/108 x -25/29) (fma.f64 x -841/108 25/29) 1) (-.f64 54/29 (*.f64 841/108 x)))
(/.f64 (fma.f64 (fma.f64 841/108 x -25/29) (fma.f64 x -841/108 25/29) 1) (+.f64 (*.f64 x -841/108) 54/29))
(/.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 1 (+.f64 (*.f64 841/108 x) 33/29) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)
(fma.f64 841/108 x 4/29)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
0.1b
(*.f64 x (*.f64 x 707281/11664))
0.2b
(*.f64 x 707281/11664)
29.2b
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
Compiler

Compiled 32 to 24 computations (25% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
0.0ms
x
@-inf
(*.f64 x 707281/11664)
0.0ms
x
@0
(*.f64 x 707281/11664)
0.0ms
x
@inf
(*.f64 x 707281/11664)
0.0ms
x
@0
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))

rewrite64.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
626×unpow-prod-down_binary64
411×log-prod_binary64
307×exp-prod_binary64
269×prod-diff_binary64
247×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
121922
2246320
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(*.f64 x (*.f64 x 707281/11664))
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
Outputs
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simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
616×distribute-rgt-in_binary64
582×distribute-lft-in_binary64
311×sqr-pow_binary64
282×times-frac_binary64
210×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04262044
19771923
229261889
Stop Event
node limit
Counts
221 → 246
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 -841/108 x)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 0 (*.f64 x 841/108))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
(*.f64 (*.f64 x 841/108) 1)
(*.f64 1 (*.f64 x 841/108))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (*.f64 x 707281/11664) (*.f64 x 841/108)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 707281/11664 (*.f64 x 841/108)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (pow.f64 (*.f64 x (*.f64 x 841/108)) 1/3))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 4)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 5) 1/3))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 841/108))) (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x 707281/11664)) x) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) (*.f64 x 841/108)) 1/2))
(*.f64 (pow.f64 1 1/3) (*.f64 x 841/108))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (*.f64 x 707281/11664))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) 841/108)) 1/2) (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(*.f64 (pow.f64 (*.f64 (*.f64 x 707281/11664) (cbrt.f64 (*.f64 x x))) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 5) 1/2) (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 (pow.f64 (*.f64 (*.f64 x 841/108) (sqrt.f64 x)) 1/2) (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) (sqrt.f64 x)) 1/3) (cbrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) 1/4)
(pow.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3/2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (exp.f64 1/2) (*.f64 2 (log.f64 (*.f64 x 841/108))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 841/108)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 841/108))) 2)) (cbrt.f64 (log.f64 (*.f64 x 841/108))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 841/108)))) (sqrt.f64 (log.f64 (*.f64 x 841/108))))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 841/108))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 841/108))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 3) 1/3))
(+.f64 0 (*.f64 x 707281/11664))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 707281/11664))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (*.f64 (*.f64 x x) 500246412961/136048896) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 353814783205469041/1586874322944) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (*.f64 (sqrt.f64 x) 841/108) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 707281/11664)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 707281/11664))) 2)) (cbrt.f64 (log.f64 (*.f64 x 707281/11664))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 707281/11664)))) (sqrt.f64 (log.f64 (*.f64 x 707281/11664))))
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 353814783205469041/1586874322944)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 707281/11664))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 841/108)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 707281/11664)) 1) 1))
(+.f64 0 (*.f64 x (*.f64 x 707281/11664)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1)
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)
(pow.f64 (*.f64 x 841/108) 2)
(pow.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) 1/2)
(pow.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 6)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 4)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 2/3)
(pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (*.f64 x 841/108))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (*.f64 x 841/108)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (*.f64 x 841/108)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))))) (sqrt.f64 (*.f64 2 (log.f64 (*.f64 x 841/108)))))
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))
(cbrt.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 500246412961/136048896 (pow.f64 x 4))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 841/108))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1) 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
(-.f64 (/.f64 (*.f64 x (*.f64 x 707281/11664)) (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 x 841/108 4/29) 1)
(*.f64 1 (fma.f64 x 841/108 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2)) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29))))
(*.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29))) 1))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 841/108 4/29))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 4/29) (cbrt.f64 (fma.f64 x 841/108 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 841/108 4/29))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 2) 3) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 3))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29)) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29)))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (*.f64 (*.f64 x 841/108) 4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (neg.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 841/108 4/29)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29)) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) -1)
(pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 841/108 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 841/108 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 841/108 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 841/108 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 841/108 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 841/108 4/29))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1) 1))
(fma.f64 x 841/108 4/29)
(fma.f64 (*.f64 x 841/108) 1 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x) 4/29)
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x 707281/11664))
(*.f64 707281/11664 (*.f64 x x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(+.f64 (*.f64 x -841/108) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 0 (*.f64 x 841/108))
(*.f64 841/108 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (*.f64 x 707281/11664) (*.f64 x 841/108)) 1/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 707281/11664 (*.f64 841/108 x)))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 x 594823321/1259712))))
(*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 707281/11664 (*.f64 x 841/108)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 841/108 x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x 594823321/1259712)))
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (pow.f64 (*.f64 x (*.f64 x 841/108)) 1/3))
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (cbrt.f64 (*.f64 x (*.f64 841/108 x))))
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (cbrt.f64 (*.f64 841/108 (*.f64 x x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 4)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 5) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 5)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) x) 1/2))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (*.f64 841/108 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 841/108 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x 841/108))) (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 841/108 x))) (pow.f64 (*.f64 841/108 x) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x 707281/11664)) x) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (sqrt.f64 (*.f64 x (cbrt.f64 (*.f64 x 707281/11664)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x 707281/11664))) (sqrt.f64 (*.f64 x (cbrt.f64 (*.f64 x 707281/11664)))))
(*.f64 (cbrt.f64 (*.f64 x 707281/11664)) (sqrt.f64 (*.f64 x (cbrt.f64 (*.f64 x 707281/11664)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (*.f64 x (*.f64 707281/11664 (cbrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 707281/11664 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 707281/11664 (*.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) (*.f64 x 841/108)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 707281/11664 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 707281/11664 (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 1 1/3) (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 841/108 x))) (pow.f64 (*.f64 841/108 x) 3/4))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) 1/2) (sqrt.f64 (cbrt.f64 (*.f64 x 707281/11664))))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 x 707281/11664))))
(*.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 x) 841/108)) 1/2) (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (*.f64 841/108 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 841/108 (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x 707281/11664) (cbrt.f64 (*.f64 x x))) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 707281/11664) (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 707281/11664 (cbrt.f64 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (*.f64 707281/11664 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 707281/11664 (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 5) 1/2) (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 5)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 5/2))
(*.f64 (pow.f64 (*.f64 (*.f64 x 841/108) (sqrt.f64 x)) 1/2) (sqrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (*.f64 841/108 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 841/108 (sqrt.f64 x))) (sqrt.f64 (*.f64 841/108 (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 8)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) (sqrt.f64 x)) 1/3) (cbrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
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(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) 1) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 16/841 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (*.f64 (*.f64 x 841/108) 4/29))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) 1) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) 1) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (neg.f64 (fma.f64 x 841/108 -4/29)))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2) 1/2)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 (*.f64 x 841/108) 4/29)) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) -1)
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 64/24389) 1) (-.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (+.f64 16/841 (*.f64 x (fma.f64 x 707281/11664 -29/27))))
(pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(*.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 841/108 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 841/108 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 841/108 x 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 841/108 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 841/108 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 841/108 x 4/29)))) (sqrt.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 841/108 4/29))) 1/3))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 3))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 841/108 4/29))) 2))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1) 1))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (*.f64 x 841/108) 1 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)

eval363.0ms (5.7%)

Compiler

Compiled 18148 to 14261 computations (21.4% saved)

prune126.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New7216727
Fresh213
Picked011
Done235
Total72511736
Error
0b
Counts
736 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
48.1b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
49.5b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
17.9b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
0.8b
(-.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.8b
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
30.9b
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x)) (/.f64 4 29))
0.1b
(+.f64 (*.f64 841/108 x) 4/29)
24.1b
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
31.4b
(*.f64 841/108 x)
31.4b
4/29
Compiler

Compiled 170 to 135 computations (20.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x 707281/11664)
0.2b
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664)))
0.3b
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
0.7b
(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
Compiler

Compiled 54 to 41 computations (24.1% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
1.0ms
x
@-inf
(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
1.0ms
x
@inf
(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
0.0ms
x
@inf
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
0.0ms
x
@-inf
(/.f64 16/841 (fma.f64 x 841/108 -4/29))

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
575×log-prod_binary64
457×exp-prod_binary64
294×pow2_binary64
274×pow-prod-down_binary64
206×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
124433
2313333
Stop Event
node limit
Counts
3 → 148
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x 841/108 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simplify80.0ms (1.3%)

Algorithm
egg-herbie
Rules
812×fma-def_binary64
600×unswap-sqr_binary64
354×log-prod_binary64
224×sqr-pow_binary64
188×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04132718
110262568
232932546
Stop Event
node limit
Counts
184 → 243
Calls
Call 1
Inputs
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (+.f64 (*.f64 -841/108 x) (*.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(-.f64 (+.f64 (*.f64 -841/108 x) (+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(/.f64 1728/707281 x)
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1728/707281 x)
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 1)
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))
(*.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)
(*.f64 1 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))
(*.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (/.f64 1 (*.f64 x -707281/11664)))
(*.f64 (/.f64 11664/707281 x) (fma.f64 x 841/108 -4/29))
(*.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) 11664/707281)
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x))
(*.f64 11664/707281 (/.f64 (fma.f64 x 841/108 -4/29) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 707281/11664) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 1) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) -2) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (cbrt.f64 (*.f64 x 707281/11664))))
(*.f64 (pow.f64 (*.f64 x 707281/11664) -1/2) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 841/108 (sqrt.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x))))
(pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 3)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(neg.f64 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x -707281/11664)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))
(log.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) (pow.f64 (*.f64 x 707281/11664) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) 2))
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(+.f64 0 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 1)
(*.f64 16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)))
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(*.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 -16/841 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 16/841)
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(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) 841/16)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 1) 1))
(+.f64 0 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1)
(*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))
(*.f64 (*.f64 x 707281/11664) (/.f64 x (fma.f64 x 841/108 -4/29)))
(*.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 1)
(*.f64 1 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(*.f64 (neg.f64 x) (/.f64 1 (*.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x)))))
(*.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) x)
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (/.f64 x (/.f64 11664/707281 x)))
(*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (*.f64 x 707281/11664))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 841/108 -4/29)) (/.f64 (cbrt.f64 x) (/.f64 11664/707281 x)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 841/108 -4/29)) (/.f64 (sqrt.f64 x) (/.f64 11664/707281 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) -2) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))) (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) -1/2) (/.f64 x (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x 841/108 -4/29))) (*.f64 x -707281/11664))
(*.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 707281/11664)
(*.f64 (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) x) 707281/11664)
(*.f64 (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 1) (*.f64 x 707281/11664))
(*.f64 (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 2)) (cbrt.f64 (*.f64 x 707281/11664)))
(*.f64 (*.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x))) (*.f64 841/108 (sqrt.f64 x)))
(pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2)
(pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(neg.f64 (/.f64 x (*.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1) 1))
Outputs
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (+.f64 (*.f64 -841/108 x) (*.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(+.f64 (fma.f64 -841/108 x (*.f64 -20511149/46656 (*.f64 x x))) -4/29)
(fma.f64 x -841/108 (fma.f64 -20511149/46656 (*.f64 x x) -4/29))
(fma.f64 x -841/108 (fma.f64 x (*.f64 x -20511149/46656) -4/29))
(-.f64 (+.f64 (*.f64 -841/108 x) (+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(+.f64 (fma.f64 -841/108 x (fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) -4/29)
(+.f64 -4/29 (fma.f64 x -841/108 (fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 x -841/108 (fma.f64 x (*.f64 x -20511149/46656) (fma.f64 -500246412961/20155392 (pow.f64 x 3) -4/29)))
(/.f64 1728/707281 x)
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (/.f64 1728/707281 x))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 1728/707281 x)))
(/.f64 1728/707281 x)
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (/.f64 1728/707281 x))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 1728/707281 x)))
(*.f64 -20511149/46656 (pow.f64 x 2))
(*.f64 -20511149/46656 (*.f64 x x))
(*.f64 x (*.f64 x -20511149/46656))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (*.f64 x x) (*.f64 -500246412961/20155392 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x)))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (*.f64 (*.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x))))
(+.f64 (*.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (*.f64 x x) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (fma.f64 -500246412961/20155392 (pow.f64 x 3) (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(fma.f64 x (*.f64 x -20511149/46656) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (*.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (fma.f64 841/108 x (/.f64 1728/707281 x))))
(+.f64 4/29 (+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (fma.f64 x 841/108 (/.f64 1728/707281 x))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29)))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(neg.f64 (/.f64 x (*.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 2))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1/3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x)))) -1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1) 1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))

localize27.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 841/108 x) 33/29)
0.1b
(*.f64 841/108 x)
0.8b
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.0ms
x
@0
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.0ms
x
@inf
(+.f64 (*.f64 841/108 x) 33/29)
0.0ms
x
@0
(+.f64 (*.f64 841/108 x) 33/29)
0.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)

rewrite54.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
935×pow1_binary64
882×add-log-exp_binary64
882×log1p-expm1-u_binary64
882×expm1-log1p-u_binary64
870×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
118110
2225810
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 841/108 x) 33/29)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (*.f64 841/108 x) 62/29)) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 841/108 x) 62/29) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (*.f64 (fma.f64 841/108 x 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (+.f64 (*.f64 841/108 x) 62/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)) (neg.f64 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (-.f64 -1 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 841/108 x 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 33/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -33/29)) (/.f64 1089/841 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 33/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 33/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))) (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -33/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 1089/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 319/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (fma.f64 841/108 x -33/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)) (neg.f64 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1089/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 33/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 33/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 33/29)))))

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Rules
380×distribute-rgt-in_binary64
363×fma-def_binary64
344×distribute-lft-in_binary64
329×log-prod_binary64
300×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01671000
1393907
21347832
37619832
Stop Event
node limit
Counts
94 → 97
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
33/29
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (*.f64 841/108 x) 62/29)) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 841/108 x) 62/29) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (+.f64 (*.f64 841/108 x) 62/29))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)) (neg.f64 (+.f64 (*.f64 841/108 x) 62/29)))
(/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (-.f64 -1 (fma.f64 841/108 x 33/29)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 1 (fma.f64 841/108 x 33/29) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)) -1)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)) -1)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 33/29)) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -33/29)) (/.f64 1089/841 (fma.f64 841/108 x -33/29)))
(*.f64 (fma.f64 841/108 x 33/29) 1)
(*.f64 1 (fma.f64 841/108 x 33/29))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)))
(*.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))
(*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))) (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -33/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)))
(/.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))))
(/.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 1089/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 319/36))))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (neg.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)) (neg.f64 (fma.f64 841/108 x -33/29)))
(/.f64 (-.f64 1089/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 33/29 (*.f64 841/108 x)))
(pow.f64 (fma.f64 841/108 x 33/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 33/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 33/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 33/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(fma.f64 x 841/108 33/29)
(fma.f64 1 (*.f64 841/108 x) 33/29)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 33/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 33/29)
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
33/29
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (*.f64 841/108 x) 62/29)) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) 1) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) 1) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 841/108 x) 62/29) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) 1) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) 1) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (+.f64 (*.f64 841/108 x) 62/29))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) 1) (*.f64 (fma.f64 841/108 x 33/29) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (fma.f64 (fma.f64 841/108 x 33/29) (fma.f64 841/108 x 62/29) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)) (neg.f64 (+.f64 (*.f64 841/108 x) 62/29)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 707281/11664 (*.f64 x x) (-.f64 16/841 (*.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (*.f64 x (-.f64 29/27 (*.f64 x 707281/11664)))))
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (-.f64 -1 (fma.f64 841/108 x 33/29)))
(-.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 1 (fma.f64 841/108 x 62/29)))
(+.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (fma.f64 841/108 x 62/29)) (/.f64 -1 (fma.f64 841/108 x 62/29)))
(/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (fma.f64 841/108 x 62/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (fma.f64 841/108 x 33/29) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)) -1)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 33/29)) 1)
(fma.f64 841/108 x 33/29)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -33/29)) (/.f64 1089/841 (fma.f64 841/108 x -33/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -33/29) (*.f64 x x))) (/.f64 1089/841 (fma.f64 841/108 x -33/29)))
(+.f64 (*.f64 (/.f64 707281/11664 (fma.f64 841/108 x -33/29)) (*.f64 x x)) (/.f64 -1089/841 (fma.f64 841/108 x -33/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -33/29)) (*.f64 x x) (/.f64 1089/841 (fma.f64 x -841/108 33/29)))
(*.f64 (fma.f64 841/108 x 33/29) 1)
(fma.f64 841/108 x 33/29)
(*.f64 1 (fma.f64 841/108 x 33/29))
(fma.f64 841/108 x 33/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2))
(fma.f64 841/108 x 33/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(*.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 35937/24389) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (+.f64 1089/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 319/36))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (fma.f64 x (fma.f64 x 707281/11664 -319/36) 1089/841))
(*.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))) (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 35937/24389) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (+.f64 1089/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 319/36))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (fma.f64 x (fma.f64 x 707281/11664 -319/36) 1089/841))
(/.f64 1 (/.f64 (fma.f64 841/108 x -33/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 35937/24389) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (+.f64 1089/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 319/36))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (fma.f64 x (fma.f64 x 707281/11664 -319/36) 1089/841))
(/.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 1089/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 319/36))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 35937/24389) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (+.f64 1089/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 319/36))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (fma.f64 x (fma.f64 x 707281/11664 -319/36) 1089/841))
(/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (fma.f64 841/108 x -33/29))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (neg.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 35937/24389) (/.f64 1 (fma.f64 707281/11664 (*.f64 x x) (-.f64 1089/841 (*.f64 x 319/36)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (+.f64 1089/841 (*.f64 x (-.f64 (*.f64 x 707281/11664) 319/36))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 35937/24389) (fma.f64 x (fma.f64 x 707281/11664 -319/36) 1089/841))
(/.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)) (neg.f64 (fma.f64 841/108 x -33/29)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (-.f64 1089/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 33/29 (*.f64 841/108 x)))
(*.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -1089/841) (fma.f64 841/108 x -33/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -1089/841) (fma.f64 841/108 x -33/29))
(pow.f64 (fma.f64 841/108 x 33/29) 1)
(fma.f64 841/108 x 33/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 3)
(fma.f64 841/108 x 33/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 2)
(fma.f64 841/108 x 33/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3) 1/3)
(fma.f64 841/108 x 33/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2))
(fma.f64 841/108 x 33/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3))
(fma.f64 841/108 x 33/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 33/29)))
(fma.f64 841/108 x 33/29)
(fma.f64 841/108 x 33/29)
(fma.f64 x 841/108 33/29)
(fma.f64 841/108 x 33/29)
(fma.f64 1 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 33/29)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (cbrt.f64 (*.f64 841/108 x)) 33/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 33/29)
(fma.f64 841/108 x 33/29)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
0.1b
(*.f64 x -841/108)
0.2b
(*.f64 (*.f64 x x) 707281/11664)
16.9b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
1.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
0.0ms
x
@-inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
0.0ms
x
@0
(*.f64 x -841/108)
0.0ms
x
@inf
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))

rewrite93.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
546×log-prod_binary64
341×prod-diff_binary64
285×pow-prod-down_binary64
268×pow2_binary64
196×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
123130
2327922
Stop Event
node limit
Counts
3 → 239
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
(*.f64 x -841/108)
(-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
Outputs
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simplify117.0ms (1.8%)

Algorithm
egg-herbie
Rules
518×fma-neg_binary64
350×log-prod_binary64
314×fma-def_binary64
274×times-frac_binary64
226×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06127111
116054784
266324778
Stop Event
node limit
Counts
275 → 318
Calls
Call 1
Inputs
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
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(+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))
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(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (cbrt.f64 (*.f64 x -841/108)))
(/.f64 (pow.f64 (*.f64 x -841/108) 3/2) (sqrt.f64 (*.f64 x -841/108)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) -841/108) x)
(/.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) x) -841/108)
(/.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) 1) (*.f64 x -841/108))
(pow.f64 (*.f64 (*.f64 x x) 707281/11664) 1/2)
(pow.f64 (*.f64 x -841/108) 1)
(pow.f64 (pow.f64 (*.f64 x -841/108) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(pow.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) 1/6)
(pow.f64 (/.f64 -108/841 x) -1)
(pow.f64 (/.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (pow.f64 (*.f64 x -841/108) 3)) 1/3)
(neg.f64 (*.f64 x -841/108))
(sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))
(fabs.f64 (*.f64 x -841/108))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))))
(cbrt.f64 (pow.f64 (*.f64 x -841/108) 3))
(cbrt.f64 (/.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (pow.f64 (*.f64 x -841/108) 3)))
(expm1.f64 (log1p.f64 (*.f64 x -841/108)))
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(exp.f64 (log.f64 (*.f64 x -841/108)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1))
(+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))
(+.f64 (*.f64 (*.f64 x x) 707281/11664) 16/841)
(+.f64 0 (fma.f64 x (*.f64 x 707281/11664) 16/841))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 1)
(*.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(*.f64 (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (/.f64 1 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 841/729 (*.f64 x x))))))
(*.f64 (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 1 (/.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 841/729 (*.f64 x x)))) (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))))
(/.f64 (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4))) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (neg.f64 (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))) (neg.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 841/729 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (+.f64 -16/841 (*.f64 (*.f64 x x) 707281/11664)))
(/.f64 (+.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (+.f64 256/707281 (-.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)) (*.f64 841/729 (*.f64 x x)))))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2)
(pow.f64 (/.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (*.f64 841/729 (*.f64 x x)))) (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (+.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 1))
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 x (*.f64 -841/108 (*.f64 x -841/108)) 16/841)
(fma.f64 x (neg.f64 (*.f64 x 707281/11664)) 16/841)
(fma.f64 (*.f64 x x) 707281/11664 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 707281/11664 (*.f64 x x) 16/841)
(fma.f64 707281/11664 (*.f64 x (neg.f64 x)) 16/841)
(fma.f64 (*.f64 (*.f64 x x) 707281/11664) 1 16/841)
(fma.f64 -841/108 (*.f64 x (*.f64 x -841/108)) 16/841)
(fma.f64 (*.f64 x -841/108) (*.f64 x -841/108) 16/841)
(fma.f64 1 (*.f64 (*.f64 x x) 707281/11664) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664)) 16/841)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) 16/841)
(fma.f64 (sqrt.f64 (*.f64 x -841/108)) (pow.f64 (*.f64 x -841/108) 3/2) 16/841)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) 16/841)
(fma.f64 (*.f64 x (neg.f64 x)) 707281/11664 16/841)
(fma.f64 (*.f64 x 707281/11664) x 16/841)
(fma.f64 (pow.f64 (*.f64 x -841/108) 3/2) (sqrt.f64 (*.f64 x -841/108)) 16/841)
(fma.f64 -1 (*.f64 (*.f64 x x) 707281/11664) 16/841)
(fma.f64 (neg.f64 x) (*.f64 x 707281/11664) 16/841)
(fma.f64 (*.f64 (*.f64 x -841/108) -841/108) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (*.f64 (*.f64 x -841/108) x) -841/108 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 5) (cbrt.f64 (*.f64 x -841/108)) 16/841)
(fma.f64 (*.f64 707281/11664 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)
Outputs
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 x) -841/108 (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (*.f64 x -841/108) 1 (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (+.f64 (*.f64 x -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x -841/54)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (*.f64 x -841/108)))
(+.f64 (fma.f64 x -841/108 (/.f64 -1728/707281 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 841/108 x (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) -841/108)) (/.f64 707281/11664 x) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 x)) (/.f64 (*.f64 x x) -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x -841/108) -841/108)) (/.f64 (*.f64 x -841/108) x) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x -841/108) x)) (/.f64 (*.f64 x -841/108) -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (*.f64 x -841/108)))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108))) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108)))) (/.f64 707281/11664 (sqrt.f64 (*.f64 x -841/108))) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 -1 (*.f64 x -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 841/108 x (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (*.f64 x -841/108) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))
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(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) 16/841)
(fma.f64 (sqrt.f64 x) (*.f64 (*.f64 x 707281/11664) (sqrt.f64 x)) 16/841)
(fma.f64 (sqrt.f64 x) (*.f64 707281/11664 (*.f64 x (sqrt.f64 x))) 16/841)
(fma.f64 (*.f64 x (neg.f64 x)) 707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(fma.f64 (*.f64 x 707281/11664) x 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (pow.f64 (*.f64 x -841/108) 3/2) (sqrt.f64 (*.f64 x -841/108)) 16/841)
(fma.f64 (sqrt.f64 (*.f64 x -841/108)) (pow.f64 (*.f64 x -841/108) 3/2) 16/841)
(fma.f64 -1 (*.f64 (*.f64 x x) 707281/11664) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(fma.f64 (neg.f64 x) (*.f64 x 707281/11664) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(fma.f64 (*.f64 (*.f64 x -841/108) -841/108) x 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 x (*.f64 x -707281/11664) 16/841)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))) 16/841)
(fma.f64 (*.f64 (*.f64 x -841/108) x) -841/108 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 5) (cbrt.f64 (*.f64 x -841/108)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (*.f64 707281/11664 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 707281/11664 (*.f64 x (cbrt.f64 x))) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x 707281/11664) (cbrt.f64 x)) 16/841)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x 841/108)
0.1b
(*.f64 x (*.f64 x 707281/11664))
0.2b
(*.f64 x 707281/11664)
16.5b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
Compiler

Compiled 42 to 31 computations (26.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
0.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
0.0ms
x
@-inf
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
0.0ms
x
@0
(*.f64 x 841/108)
0.0ms
x
@inf
(*.f64 x 841/108)

rewrite91.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
647×log-prod_binary64
573×prod-diff_binary64
249×fma-def_binary64
228×pow1/3_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01223
127711
237759
Stop Event
node limit
Counts
2 → 198
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(*.f64 x 841/108)
Outputs
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simplify151.0ms (2.4%)

Algorithm
egg-herbie
Rules
349×cancel-sign-sub-inv_binary64
301×unswap-sqr_binary64
277×distribute-rgt-neg-in_binary64
256×distribute-lft-neg-in_binary64
235×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054410553
113847350
248265027
Stop Event
node limit
Counts
222 → 261
Calls
Call 1
Inputs
4/29
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(*.f64 841/108 x)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 841/108 x 4/29)
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(fma.f64 841/108 x 4/29)
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(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
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(+.f64 (*.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 707281/11664)) 0) (fma.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 x -707281/11664))))
(fma.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 x -707281/11664)))
(fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))
(+.f64 (fma.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x)) (*.f64 (*.f64 707281/11664 (*.f64 x x)) (/.f64 1 (fma.f64 x -841/108 4/29)))) (fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 841/108 x 4/29) (*.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 707281/11664)) 0) (fma.f64 (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 841/108 x 4/29) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 x -707281/11664))))
(fma.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (*.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (*.f64 x -707281/11664)))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 0 (*.f64 x 841/108))
(*.f64 841/108 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(*.f64 841/108 x)
(fabs.f64 (*.f64 x 841/108))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
(*.f64 841/108 x)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (*.f64 841/108 x))
0.1b
(*.f64 841/108 x)
0.3b
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms
x
@0
(sqrt.f64 (*.f64 841/108 x))
0.0ms
x
@inf
(sqrt.f64 (*.f64 841/108 x))

rewrite40.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
497×pow1_binary64
487×add-sqr-sqrt_binary64
465×add-log-exp_binary64
465×log1p-expm1-u_binary64
465×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2131910
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 841/108 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 841/108) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))))))

simplify45.0ms (0.7%)

Algorithm
egg-herbie
Rules
450×distribute-rgt-in_binary64
429×fma-def_binary64
424×distribute-lft-in_binary64
406×unswap-sqr_binary64
400×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096518
1200389
2701260
32769260
47901260
Stop Event
node limit
Counts
47 → 54
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 (*.f64 841/108 x) 1)
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 1 (*.f64 841/108 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)
(*.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(*.f64 1 (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(pow.f64 (*.f64 841/108 x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
Outputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 x 841/108)
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 x) 1)
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 1 (*.f64 841/108 x))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(*.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 1 (sqrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (*.f64 841/108 x) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) -1)
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))

eval690.0ms (10.9%)

Compiler

Compiled 29834 to 22925 computations (23.2% saved)

prune225.0ms (3.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New110941113
Fresh112
Picked101
Done358
Total1114101124
Error
0b
Counts
1124 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 841/108 x 4/29)
49.5b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
17.9b
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
49.2b
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
1.2b
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.8b
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.1b
(+.f64 (*.f64 841/108 x) 4/29)
32.2b
(+.f64 33/29 -1)
31.4b
(*.f64 841/108 x)
31.4b
4/29
Compiler

Compiled 78 to 63 computations (19.2% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.6b
(+.f64 33/29 -1)
Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite68.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
629×prod-diff_binary64
444×log1p-udef_binary64
274×add-sqr-sqrt_binary64
268×pow1_binary64
261×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
1781
26921
365351
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 33/29 -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 4/29)))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
4/29
Outputs
4/29

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.1b
(fma.f64 x 841/108 -4/29)
0.3b
(/.f64 16/841 (fma.f64 x 841/108 -4/29))
0.3b
(/.f64 x 108/841)
Compiler

Compiled 29 to 23 computations (20.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.0ms
x
@inf
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.0ms
x
@-inf
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
0.0ms
x
@0
(/.f64 x 108/841)
0.0ms
x
@0
(fma.f64 x 841/108 -4/29)

rewrite77.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
677×prod-diff_binary64
602×unpow-prod-down_binary64
451×log-prod_binary64
298×fma-def_binary64
285×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123621
2308021
Stop Event
node limit
Counts
3 → 231
Calls
Call 1
Inputs
(/.f64 x 108/841)
(fma.f64 x 841/108 -4/29)
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
Outputs
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simplify109.0ms (1.7%)

Algorithm
egg-herbie
Rules
850×fma-neg_binary64
463×cancel-sign-sub-inv_binary64
254×div-sub_binary64
252×fma-def_binary64
244×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05154414
112484096
245373877
Stop Event
node limit
Counts
267 → 325
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
4/29
(+.f64 (*.f64 841/54 x) 4/29)
(+.f64 (*.f64 841/54 x) (+.f64 4/29 (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 (*.f64 841/54 x) (+.f64 4/29 (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 0 (*.f64 x 841/108))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x 841/108))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x 841/108)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x 841/108)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x 841/108)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 x 841/108)
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(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) 2) (cbrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 (sqrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 -1 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (*.f64 x 841/108))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) 16/841 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2)) (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
4/29
(+.f64 (*.f64 841/54 x) 4/29)
(fma.f64 841/54 x 4/29)
(fma.f64 x 841/54 4/29)
(+.f64 (*.f64 841/54 x) (+.f64 4/29 (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 (fma.f64 841/54 x 4/29) (*.f64 20511149/46656 (*.f64 x x)))
(fma.f64 x 841/54 (fma.f64 20511149/46656 (*.f64 x x) 4/29))
(+.f64 (*.f64 841/54 x) (+.f64 4/29 (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 841/54 x 4/29) (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))))
(+.f64 (fma.f64 x 841/54 4/29) (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3))))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 841/108 x) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(-.f64 (fma.f64 841/108 x (/.f64 -1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (-.f64 (*.f64 841/108 x) (/.f64 746496/17249876309 (*.f64 x x))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 841/108 x (/.f64 -1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (/.f64 1728/707281 x))
(fma.f64 841/108 x (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 841/108 x) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(-.f64 (fma.f64 841/108 x (/.f64 -1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x)))
(-.f64 (*.f64 841/108 x) (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (-.f64 (*.f64 841/108 x) (/.f64 746496/17249876309 (*.f64 x x))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 841/108 x (/.f64 -1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 0 (*.f64 x 841/108))
(*.f64 841/108 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x 841/108))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x 841/108)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x 841/108)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x 841/108)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 2 (log.f64 (fabs.f64 (pow.f64 (exp.f64 x) 841/216))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x (pow.f64 (cbrt.f64 841/108) 3))
(*.f64 841/108 x)
(*.f64 x (pow.f64 (sqrt.f64 841/108) 2))
(*.f64 841/108 x)
(*.f64 x (pow.f64 594823321/1259712 1/3))
(*.f64 x (cbrt.f64 594823321/1259712))
(*.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 1))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 841/108) 1))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (neg.f64 x) -841/108)
(*.f64 841/108 x)
(*.f64 (pow.f64 1 1/3) (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 2) 3) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x 841/108) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x 841/108) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x 841/108) 3/2) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 841/108 x) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2)))
(*.f64 (pow.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) x) 1/3) (cbrt.f64 841/108))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 (*.f64 707281/11664 (pow.f64 x 3))))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 (*.f64 (pow.f64 x 3) 707281/11664)))
(*.f64 (pow.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 707281/11664 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 707281/11664 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x 707281/11664)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 707281/11664 (*.f64 x (*.f64 x (cbrt.f64 (*.f64 x (*.f64 x 707281/11664))))))))
(*.f64 (pow.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (sqrt.f64 (*.f64 x 841/108))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x 841/108))))
(*.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 841/108 x))))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 5)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2)))
(/.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 707281/11664 (*.f64 x x)) 1/2)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (/.f64 (/.f64 108/841 x) 1) -1)
(*.f64 841/108 x)
(neg.f64 (/.f64 x -108/841))
(/.f64 (neg.f64 x) -108/841)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
(*.f64 841/108 x)
(+.f64 (*.f64 x 841/108) -4/29)
(fma.f64 841/108 x -4/29)
(+.f64 -4/29 (*.f64 x 841/108))
(fma.f64 841/108 x -4/29)
(+.f64 0 (fma.f64 x 841/108 -4/29))
(fma.f64 841/108 x -4/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x -4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x -4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x -4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x -4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 -4/29))) 1)
(fma.f64 841/108 x -4/29)
(*.f64 (fma.f64 x 841/108 -4/29) 1)
(fma.f64 841/108 x -4/29)
(*.f64 1 (fma.f64 x 841/108 -4/29))
(fma.f64 841/108 x -4/29)
(*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))
(fma.f64 841/108 x -4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(*.f64 (pow.f64 1 1/3) (fma.f64 x 841/108 -4/29))
(fma.f64 841/108 x -4/29)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (pow.f64 (fma.f64 841/108 x -4/29) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x -4/29))))
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(fma.f64 (fma.f64 x (fma.f64 x 841/108 -4/29) -1728/707281) (/.f64 1 (*.f64 108/841 (fma.f64 x 841/108 -4/29))) (fma.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (fma.f64 x (fma.f64 841/108 x -4/29) -1728/707281) (/.f64 841/108 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (fma.f64 x -841/108 4/29) 1728/707281) (*.f64 108/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (fma.f64 x (fma.f64 x 841/108 -4/29) -1728/707281) (/.f64 1 (*.f64 108/841 (fma.f64 x 841/108 -4/29))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (fma.f64 x (fma.f64 841/108 x -4/29) -1728/707281) (/.f64 841/108 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (fma.f64 x -841/108 4/29) 1728/707281) (*.f64 108/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (fma.f64 x (fma.f64 x 841/108 -4/29) -1728/707281) (/.f64 1 (*.f64 108/841 (fma.f64 x 841/108 -4/29))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (fma.f64 x (fma.f64 841/108 x -4/29) -1728/707281) (/.f64 841/108 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 x (fma.f64 x -841/108 4/29) 1728/707281) (*.f64 108/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x 841/108) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 x 841/108 -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) 16/841 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (pow.f64 (*.f64 841/108 x) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 x (*.f64 x 707281/11664))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 4096/594823321 (pow.f64 (fma.f64 x -841/108 4/29) 3))) (fma.f64 707281/11664 (*.f64 x x) (*.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x 841/108) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 x 841/108 -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (pow.f64 (*.f64 841/108 x) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 x (*.f64 x 707281/11664))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 4096/594823321 (pow.f64 (fma.f64 x -841/108 4/29) 3))) (fma.f64 707281/11664 (*.f64 x x) (*.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x 841/108) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 x 841/108 -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 707281/11664 (*.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (pow.f64 (*.f64 841/108 x) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 x (*.f64 x 707281/11664))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 4096/594823321 (pow.f64 (fma.f64 x -841/108 4/29) 3))) (fma.f64 707281/11664 (*.f64 x x) (*.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x 841/108) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 x 841/108 -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 707281/11664 (*.f64 x x)))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (pow.f64 (*.f64 841/108 x) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (/.f64 1 (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 x (*.f64 x 707281/11664))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 (/.f64 4096/594823321 (pow.f64 (fma.f64 x -841/108 4/29) 3))) (fma.f64 707281/11664 (*.f64 x x) (*.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))))
(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) 16/841 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) 2)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))
(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) 2)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))
(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) 2)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))
(fma.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (/.f64 1 (fma.f64 x 841/108 (/.f64 16/841 (fma.f64 841/108 x -4/29)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 2)) (fma.f64 841/108 x (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 707281/11664)) (pow.f64 (/.f64 -16/841 (fma.f64 x -841/108 4/29)) 2)) (fma.f64 841/108 x (/.f64 -16/841 (fma.f64 x -841/108 4/29))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) 2) (cbrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (sqrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 -1 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) (*.f64 x 841/108))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))) 16/841 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (-.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) (+.f64 (/.f64 -16/841 (fma.f64 x 841/108 -4/29)) (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2)) (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (*.f64 x 841/108))
(fma.f64 841/108 x (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 841/108 x (/.f64 16/841 (fma.f64 x -841/108 4/29)))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x -841/108)
0.1b
(*.f64 x (*.f64 x -707281/11664))
0.2b
(*.f64 x -707281/11664)
29.4b
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x -707281/11664)
0.0ms
x
@inf
(*.f64 x (*.f64 x -707281/11664))
0.0ms
x
@0
(*.f64 x (*.f64 x -707281/11664))
0.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
0.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))

rewrite59.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
959×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
105×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
117515
2251015
Stop Event
node limit
Counts
3 → 95
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(*.f64 x -707281/11664)
(*.f64 x (*.f64 x -707281/11664))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -707281/11664) (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -707281/11664) -108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -707281/11664) (*.f64 x (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -707281/11664 (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -707281/11664) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -707281/11664)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -707281/11664) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x -707281/11664) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))))))))

simplify46.0ms (0.7%)

Algorithm
egg-herbie
Rules
432×log-prod_binary64
325×times-frac_binary64
280×cube-prod_binary64
257×exp-prod_binary64
247×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216839
1586839
23298839
Stop Event
node limit
Counts
131 → 109
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 x)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(-.f64 0 (*.f64 x -841/108))
(*.f64 x 841/108)
(*.f64 x (*.f64 (*.f64 x -707281/11664) (/.f64 -108/841 x)))
(*.f64 (*.f64 x -707281/11664) -108/841)
(*.f64 (*.f64 x -707281/11664) (*.f64 x (/.f64 -108/841 x)))
(*.f64 (*.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
(*.f64 -841/108 (neg.f64 x))
(*.f64 1 (*.f64 x 841/108))
(*.f64 (*.f64 x x) (*.f64 -707281/11664 (/.f64 -108/841 x)))
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (/.f64 -108/841 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (neg.f64 (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (/.f64 -108/841 x)))
(*.f64 (sqrt.f64 (*.f64 x -841/108)) (neg.f64 (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (pow.f64 (*.f64 x -841/108) 2) (/.f64 108/841 x))
(*.f64 (*.f64 x 841/108) 1)
(*.f64 (/.f64 -108/841 x) (*.f64 x (*.f64 x -707281/11664)))
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) -108/841)
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) (/.f64 x (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 -1 (*.f64 x -841/108))
(*.f64 (neg.f64 x) -841/108)
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x -707281/11664)) -841/108))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x -707281/11664) (*.f64 x -841/108)))
(*.f64 (/.f64 (*.f64 x -707281/11664) x) (/.f64 x -841/108))
(*.f64 (/.f64 x -841/108) (/.f64 (*.f64 x -707281/11664) x))
(*.f64 (/.f64 (*.f64 x x) x) 841/108)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) -841/108))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x))
(*.f64 -108/841 (/.f64 (*.f64 x -707281/11664) 1))
(*.f64 (/.f64 (*.f64 x x) -841/108) (/.f64 -707281/11664 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) -841/108) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) x))
(*.f64 (/.f64 x (*.f64 x -841/108)) (*.f64 x -707281/11664))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -707281/11664 (*.f64 x -841/108)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (*.f64 x -841/108)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) 1) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x -841/108)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (*.f64 x -707281/11664) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 x (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 (*.f64 x -707281/11664) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (*.f64 x -707281/11664) (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -841/108))) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108))) (/.f64 -707281/11664 (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108)))
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (/.f64 108/841 x) -1)
(neg.f64 (*.f64 x -841/108))
(neg.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x 841/108)))
(sqrt.f64 (/.f64 (*.f64 x x) 11664/707281))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -841/108) x)))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) (pow.f64 (*.f64 x -841/108) 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)
(pow.f64 (*.f64 x -707281/11664) 1)
(pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -707281/11664) 2))
(log.f64 (pow.f64 (exp.f64 x) -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))
(log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))
(exp.f64 (log.f64 (*.f64 x -707281/11664)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1)
(pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -707281/11664) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -707281/11664) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))))
Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 x)
(*.f64 x -707281/11664)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 x (*.f64 x -707281/11664))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(-.f64 0 (*.f64 x -841/108))
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x (*.f64 (*.f64 x -707281/11664) (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 x -707281/11664) -108/841)
(*.f64 841/108 x)
(*.f64 (*.f64 x -707281/11664) (*.f64 x (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 x (*.f64 x -707281/11664)) (/.f64 -108/841 x))
(*.f64 841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (*.f64 x x) (*.f64 -707281/11664 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (neg.f64 (cbrt.f64 (*.f64 x -841/108))))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 (*.f64 x (sqrt.f64 -707281/11664)) (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 x -841/108)) (neg.f64 (sqrt.f64 (*.f64 x -841/108))))
(*.f64 841/108 x)
(*.f64 (pow.f64 (*.f64 x -841/108) 2) (/.f64 108/841 x))
(*.f64 841/108 x)
(*.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(*.f64 (/.f64 -108/841 x) (*.f64 x (*.f64 x -707281/11664)))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) -108/841)
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x -707281/11664) 1) (/.f64 x (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -1 (*.f64 x -841/108))
(*.f64 841/108 x)
(*.f64 (neg.f64 x) -841/108)
(*.f64 841/108 x)
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x -707281/11664)) -841/108))
(*.f64 841/108 x)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x -707281/11664) (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x -707281/11664) x) (/.f64 x -841/108))
(*.f64 841/108 x)
(*.f64 (/.f64 x -841/108) (/.f64 (*.f64 x -707281/11664) x))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x x) x) 841/108)
(*.f64 841/108 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) x) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) -841/108))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x))
(*.f64 841/108 x)
(*.f64 -108/841 (/.f64 (*.f64 x -707281/11664) 1))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x x) -841/108) (/.f64 -707281/11664 x))
(*.f64 841/108 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) -841/108) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) x))
(*.f64 841/108 x)
(*.f64 (/.f64 x (*.f64 x -841/108)) (*.f64 x -707281/11664))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -707281/11664 (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) 1) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 x (cbrt.f64 (/.f64 x -108/841))) -707281/11664))
(*.f64 (/.f64 (*.f64 x -707281/11664) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 x (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 x (cbrt.f64 (/.f64 x -108/841))) -707281/11664))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 x (cbrt.f64 (/.f64 x -108/841))) -707281/11664))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 x (cbrt.f64 (/.f64 x -108/841))) -707281/11664))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x 841/108)))
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (cbrt.f64 (*.f64 841/108 x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2) (cbrt.f64 (*.f64 841/108 x))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (*.f64 x -707281/11664) (cbrt.f64 (*.f64 x -841/108))))
(/.f64 (*.f64 (*.f64 x x) (/.f64 -707281/11664 (cbrt.f64 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 x (cbrt.f64 (/.f64 x -108/841))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 (*.f64 x -707281/11664) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) -707281/11664)))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x -108/841))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664)))
(*.f64 (/.f64 (*.f64 x -707281/11664) (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) -707281/11664)))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x -108/841))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x -841/108))) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) -707281/11664)))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x -108/841))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664)))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108))) (/.f64 -707281/11664 (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) -707281/11664)))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x -108/841))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 2) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) (sqrt.f64 (*.f64 x -841/108))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) -707281/11664)))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x -841/108))) -707281/11664))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x -108/841))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)))
(*.f64 841/108 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (*.f64 x -841/108)))
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(neg.f64 (*.f64 x -841/108))
(*.f64 841/108 x)
(neg.f64 (/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x 841/108)))
(*.f64 841/108 x)
(sqrt.f64 (/.f64 (*.f64 x x) 11664/707281))
(sqrt.f64 (/.f64 x (/.f64 11664/707281 x)))
(sqrt.f64 (*.f64 (/.f64 x 11664/707281) x))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(log.f64 (/.f64 1 (pow.f64 (exp.f64 -841/108) x)))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) (pow.f64 (*.f64 x -841/108) 3)))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/11664))) 1)
(*.f64 x -707281/11664)
(pow.f64 (*.f64 x -707281/11664) 1)
(*.f64 x -707281/11664)
(pow.f64 (pow.f64 (*.f64 x -707281/11664) 3) 1/3)
(*.f64 x -707281/11664)
(pow.f64 (cbrt.f64 (*.f64 x -707281/11664)) 3)
(*.f64 x -707281/11664)
(pow.f64 (sqrt.f64 (*.f64 x -707281/11664)) 2)
(*.f64 x -707281/11664)
(sqrt.f64 (pow.f64 (*.f64 x -707281/11664) 2))
(*.f64 x -707281/11664)
(log.f64 (pow.f64 (exp.f64 x) -707281/11664))
(*.f64 x -707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/11664))))
(*.f64 x -707281/11664)
(cbrt.f64 (pow.f64 (*.f64 x -707281/11664) 3))
(*.f64 x -707281/11664)
(expm1.f64 (log1p.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(log1p.f64 (expm1.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(exp.f64 (log.f64 (*.f64 x -707281/11664)))
(*.f64 x -707281/11664)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664)))) 1)
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (*.f64 x (*.f64 x -707281/11664)) 1)
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3) 1/3)
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)
(*.f64 x (*.f64 x -707281/11664))
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(*.f64 x (*.f64 x -707281/11664))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 2))
(*.f64 x (*.f64 x -707281/11664))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))
(*.f64 x (*.f64 x -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -707281/11664)))))
(*.f64 x (*.f64 x -707281/11664))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -707281/11664)) 3))
(*.f64 x (*.f64 x -707281/11664))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -707281/11664) 3)))
(*.f64 x (*.f64 x -707281/11664))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x -707281/11664) 3) (pow.f64 x 3)))
(*.f64 x (*.f64 x -707281/11664))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -707281/11664))))
(*.f64 x (*.f64 x -707281/11664))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -707281/11664))))
(*.f64 x (*.f64 x -707281/11664))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))))
(*.f64 x (*.f64 x -707281/11664))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x x) 707281/11664)
0.2b
(/.f64 -108/841 x)
0.2b
(/.f64 1 (/.f64 -108/841 x))
16.9b
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 -108/841 x)
0.0ms
x
@inf
(/.f64 -108/841 x)
0.0ms
x
@-inf
(/.f64 -108/841 x)
0.0ms
x
@0
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
0.0ms
x
@inf
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))

rewrite90.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
603×log-prod_binary64
362×prod-diff_binary64
307×pow2_binary64
224×pow-unpow_binary64
212×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01224
128124
2385922
Stop Event
node limit
Counts
3 → 270
Calls
Call 1
Inputs
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
(/.f64 1 (/.f64 -108/841 x))
(/.f64 -108/841 x)
Outputs
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simplify139.0ms (2.2%)

Algorithm
egg-herbie
Rules
726×fma-neg_binary64
277×associate-*l*_binary64
240×associate-*r*_binary64
226×associate-/l*_binary64
210×associate-*l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06939008
117564390
275404390
Stop Event
node limit
Counts
294 → 334
Calls
Call 1
Inputs
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
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(+.f64 (fma.f64 -16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 (/.f64 (/.f64 x -108/841) (cbrt.f64 (/.f64 x -108/841))) (/.f64 (/.f64 x -108/841) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2))))) (fma.f64 (neg.f64 (/.f64 (/.f64 x -108/841) (cbrt.f64 (/.f64 x -108/841)))) (/.f64 (/.f64 x -108/841) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (*.f64 (/.f64 (/.f64 x -108/841) (cbrt.f64 (/.f64 x -108/841))) (/.f64 (/.f64 x -108/841) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))))
(-.f64 (/.f64 -1728/707281 x) (*.f64 -841/108 (/.f64 (*.f64 x x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)))) 1)
(*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))
(*.f64 1 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)))
(*.f64 -108/841 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) x))
(*.f64 (/.f64 -108/841 x) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(*.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 1)
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (/.f64 -108/841 x)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (sqrt.f64 (/.f64 x -108/841))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (/.f64 -108/841 x)))
(*.f64 (+.f64 -16/841 (*.f64 x (*.f64 x 707281/11664))) (/.f64 -108/841 x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) -108/841) (/.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (cbrt.f64 (/.f64 x -108/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (/.f64 x -108/841)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (/.f64 x -108/841)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (cbrt.f64 (/.f64 x -108/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) (sqrt.f64 (/.f64 x -108/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) 2) -841/108) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) -841/108) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) -1) (/.f64 -108/841 x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) (cbrt.f64 (/.f64 -108/841 x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (sqrt.f64 (/.f64 -108/841 x))) (sqrt.f64 (/.f64 -108/841 x)))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))) 2)
(pow.f64 (/.f64 (/.f64 x -108/841) (fma.f64 x (*.f64 x 707281/11664) 16/841)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3) (pow.f64 (/.f64 x -108/841) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 x -108/841) (fma.f64 x (*.f64 x 707281/11664) 16/841)) 1) -1)
(neg.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 -108/841 x)) (fma.f64 x (*.f64 x 707281/11664) 16/841))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) 3) (pow.f64 (/.f64 x -108/841) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x))) 1))
(fma.f64 16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
(fma.f64 1 (/.f64 -1728/707281 x) (neg.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 2) (cbrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
(fma.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
(fma.f64 -16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
(+.f64 0 (/.f64 x -108/841))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x -108/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x -108/841)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x -108/841)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x -108/841)))))
(-.f64 0 (/.f64 x -108/841))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x -108/841))) 1)
(*.f64 x 841/108)
(*.f64 x -841/108)
(*.f64 1 (/.f64 x -108/841))
(*.f64 (/.f64 x -108/841) 1)
(*.f64 (cbrt.f64 (/.f64 x -108/841)) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2) (cbrt.f64 (/.f64 x -108/841)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2) (neg.f64 (cbrt.f64 (/.f64 x -108/841))))
(*.f64 (sqrt.f64 (/.f64 x -108/841)) (sqrt.f64 (/.f64 x -108/841)))
(*.f64 (sqrt.f64 (/.f64 x -108/841)) (neg.f64 (sqrt.f64 (/.f64 x -108/841))))
(*.f64 841/108 x)
(*.f64 841/108 (neg.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 707281/11664)))
(*.f64 -1 (/.f64 x -108/841))
(*.f64 -841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 -841/108 (/.f64 1 (/.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x -108/841))) (sqrt.f64 (/.f64 x -108/841)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (cbrt.f64 (/.f64 x -108/841)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) (cbrt.f64 (/.f64 x -108/841)))
(*.f64 (*.f64 -841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -841/108 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)
(pow.f64 (/.f64 -108/841 x) -1)
(pow.f64 (/.f64 x -108/841) 1)
(pow.f64 (pow.f64 (/.f64 x -108/841) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x -108/841)) 3)
(pow.f64 (sqrt.f64 (/.f64 x -108/841)) 2)
(neg.f64 (/.f64 x -108/841))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (/.f64 x -108/841))
(log.f64 (exp.f64 (/.f64 x -108/841)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x -108/841))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 x -108/841))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x -108/841)))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 x -108/841)))))
(cbrt.f64 (pow.f64 (/.f64 x -108/841) 3))
(expm1.f64 (log1p.f64 (/.f64 x -108/841)))
(log1p.f64 (expm1.f64 (/.f64 x -108/841)))
(exp.f64 (log.f64 (/.f64 x -108/841)))
(exp.f64 (*.f64 (log.f64 (/.f64 -108/841 x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x -108/841)) 1))
(+.f64 0 (/.f64 -108/841 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -108/841 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -108/841 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -108/841 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -108/841 x)))))
(-.f64 0 (/.f64 -108/841 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -108/841 x))) 1)
(*.f64 1 (/.f64 -108/841 x))
(*.f64 -108/841 (/.f64 1 x))
(*.f64 -108/841 (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 -108/841 x) 1)
(*.f64 (cbrt.f64 (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (cbrt.f64 (/.f64 -108/841 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (neg.f64 (cbrt.f64 (/.f64 -108/841 x))))
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (sqrt.f64 (/.f64 -108/841 x)))
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (neg.f64 (sqrt.f64 (/.f64 -108/841 x))))
(*.f64 -1 (/.f64 -108/841 x))
(*.f64 108/841 (/.f64 1 x))
(*.f64 108/841 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) -108/841)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -108/841 x))) (sqrt.f64 (/.f64 -108/841 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) (cbrt.f64 (/.f64 -108/841 x)))
(pow.f64 (/.f64 -108/841 x) 1)
(pow.f64 (/.f64 x -108/841) -1)
(pow.f64 (/.f64 11664/707281 (*.f64 x x)) 1/2)
(pow.f64 (pow.f64 (/.f64 -108/841 x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 3)
(pow.f64 (sqrt.f64 (/.f64 -108/841 x)) 2)
(pow.f64 (/.f64 (/.f64 x -108/841) 1) -1)
(neg.f64 (/.f64 -108/841 x))
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 -108/841 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -108/841 x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -108/841 x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -108/841 x)))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 -108/841 x)))))
(cbrt.f64 (pow.f64 (/.f64 -108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 -108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 -108/841 x)))
(exp.f64 (log.f64 (/.f64 -108/841 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -108/841 x)) 1))
Outputs
(/.f64 -1728/707281 x)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (*.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 (*.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (/.f64 -108/841 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x)))) (sqrt.f64 (*.f64 -841/108 (/.f64 (*.f64 x x) x))) (*.f64 -841/108 (/.f64 (*.f64 x x) x))))
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(*.f64 (cbrt.f64 (/.f64 -108/841 x)) (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2))
(/.f64 -108/841 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (cbrt.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2) (neg.f64 (cbrt.f64 (/.f64 -108/841 x))))
(/.f64 108/841 x)
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (sqrt.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(*.f64 (sqrt.f64 (/.f64 -108/841 x)) (neg.f64 (sqrt.f64 (/.f64 -108/841 x))))
(/.f64 108/841 x)
(*.f64 -1 (/.f64 -108/841 x))
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 x))
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 (neg.f64 x)))
(/.f64 -108/841 x)
(*.f64 (/.f64 1 x) -108/841)
(/.f64 -108/841 x)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -108/841 x))) (sqrt.f64 (/.f64 -108/841 x)))
(/.f64 108/841 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 2)) (cbrt.f64 (/.f64 -108/841 x)))
(/.f64 108/841 x)
(pow.f64 (/.f64 -108/841 x) 1)
(/.f64 -108/841 x)
(pow.f64 (/.f64 x -108/841) -1)
(/.f64 -108/841 x)
(pow.f64 (/.f64 11664/707281 (*.f64 x x)) 1/2)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 11664/707281 x) x))
(pow.f64 (pow.f64 (/.f64 -108/841 x) 3) 1/3)
(/.f64 -108/841 x)
(pow.f64 (cbrt.f64 (/.f64 -108/841 x)) 3)
(/.f64 -108/841 x)
(pow.f64 (sqrt.f64 (/.f64 -108/841 x)) 2)
(/.f64 -108/841 x)
(pow.f64 (/.f64 (/.f64 x -108/841) 1) -1)
(/.f64 -108/841 x)
(neg.f64 (/.f64 -108/841 x))
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 11664/707281 x) x))
(log.f64 (exp.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -108/841 x))))
(/.f64 -108/841 x)
(log.f64 (/.f64 1 (exp.f64 (/.f64 -108/841 x))))
(/.f64 108/841 x)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 -108/841 x)))))
(/.f64 108/841 x)
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 -108/841 x)))))
(/.f64 -108/841 x)
(cbrt.f64 (pow.f64 (/.f64 -108/841 x) 3))
(/.f64 -108/841 x)
(expm1.f64 (log1p.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(log1p.f64 (expm1.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(exp.f64 (log.f64 (/.f64 -108/841 x)))
(/.f64 -108/841 x)
(exp.f64 (*.f64 (log.f64 (/.f64 -108/841 x)) 1))
(/.f64 -108/841 x)

eval955.0ms (15.1%)

Compiler

Compiled 20335 to 15642 computations (23.1% saved)

prune164.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8991900
Fresh011
Picked101
Done448
Total9046910
Error
0b
Counts
910 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(-.f64 (/.f64 x 108/841) -4/29)
0.8b
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.1b
(+.f64 (*.f64 841/108 x) 4/29)
32.2b
(+.f64 33/29 -1)
31.4b
(*.f64 841/108 x)
31.4b
4/29
Compiler

Compiled 30 to 26 computations (13.3% saved)

regimes35.0ms (0.6%)

Counts
21 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 33/29 -1)
(+.f64 (*.f64 841/108 x) 4/29)
(-.f64 (/.f64 x 108/841) -4/29)
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(+.f64 (sqrt.f64 (*.f64 x (*.f64 x 707281/11664))) (/.f64 4 29))
(-.f64 (/.f64 x 108/841) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) 841/108) (sqrt.f64 x)) (/.f64 4 29))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
Outputs
(fma.f64 841/108 x 4/29)
Calls

3 calls:

12.0ms
(*.f64 (/.f64 841 108) x)
12.0ms
x
6.0ms
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.1b1(*.f64 (/.f64 841 108) x)
Compiler

Compiled 204 to 160 computations (21.6% saved)

regimes25.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 33/29 -1)
(+.f64 (*.f64 841/108 x) 4/29)
(-.f64 (/.f64 x 108/841) -4/29)
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (*.f64 x (*.f64 x -707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (/.f64 -108/841 x)))
Outputs
(+.f64 (*.f64 841/108 x) 4/29)
Calls

3 calls:

10.0ms
x
7.0ms
(*.f64 (/.f64 841 108) x)
5.0ms
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.1b1(*.f64 (/.f64 841 108) x)
Compiler

Compiled 111 to 86 computations (22.5% saved)

regimes13.0ms (0.2%)

Accuracy

Total -60.5b remaining (-5316.6%)

Threshold costs -60.5b (-5316.6%)

Counts
3 → 3
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 33/29 -1)
Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch39.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
0.00023562744242267686
0.09211480706754832
25.0ms
-124288.89647110124
-1.0179103131689796e-9
Results
34.0ms288×body256valid
Compiler

Compiled 158 to 138 computations (12.7% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
11634
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -1261007895663739/72057594037927936) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness10.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1155
2165
Stop Event
saturated
Compiler

Compiled 31 to 27 computations (12.9% saved)

end28.0ms (0.4%)

Compiler

Compiled 26 to 20 computations (23.1% saved)

Profiling

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