Details

Time bar (total: 4.7s)

analyze3.0ms (0.1%)

Algorithm
1×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)

sample922.0ms (19.6%)

Results
911.0ms8249×body256valid
1.0ms4×body1024valid
0.0ms3×body512valid
0.0ms1×body256infinite
Bogosity

preprocess4.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
4×fma-def
2×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1179
2189
011
Stop Event
1×saturated
1×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)

simplify33.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4×fma-def
2×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1179
2189
Stop Event
1×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Compiler

Compiled 10 to 9 computations (10% saved)

localize12.0ms (0.3%)

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)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
734×*-commutative
694×sqrt-prod
566×frac-times
446×swap-sqr
434×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
123916
2251716
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (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 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))))) (#(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 (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 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 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(#(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 fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify121.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1026×associate-/r/
1018×associate-/l/
440×+-commutative
414×distribute-lft-neg-in
392×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03765842
110554826
240884784
Stop Event
1×node limit
Counts
152 → 194
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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
(-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (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 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
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(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fabs.f64 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (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)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)
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 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (*.f64 841/108 x)) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (exp.f64 (log1p.f64 (*.f64 841/108 x)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 841/108 x)) (log1p.f64 (*.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x)))))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 3 (log1p.f64 (*.f64 841/108 x))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 841/108 x)))))))
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.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)))
(sqrt.f64 (*.f64 (*.f64 707281/11664 x) x))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 (*.f64 707281/11664 x) x) (+.f64 4/29 (*.f64 -841/108 x))))
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x)))
(+.f64 (/.f64 -16/841 (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 x (*.f64 x -707281/11664)) (+.f64 4/29 (*.f64 x -841/108))))
(*.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 (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 (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 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (*.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)))
(*.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 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))
(*.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(*.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(*.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (+.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x 29/27 16/841)))
(*.f64 (/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)) (fma.f64 707281/11664 (*.f64 x x) (fma.f64 x 29/27 16/841)))
(*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (-.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(*.f64 (/.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 2))) (+.f64 (-.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841) (*.f64 x 29/27)))
(*.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 2))) (+.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (*.f64 x 29/27)))
(*.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (+.f64 16/841 (*.f64 x -29/27)) 2))) (+.f64 -16/841 (*.f64 x (+.f64 29/27 (*.f64 x 707281/11664)))))
(*.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (-.f64 16/841 (*.f64 x 29/27)) 3))) (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 (-.f64 16/841 (*.f64 x 29/27)) (-.f64 (-.f64 16/841 (*.f64 x 29/27)) (*.f64 707281/11664 (*.f64 x x))))))
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(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29)) (/.f64 (/.f64 256/707281 (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 841/108 x -4/29) 2)) (/.f64 256/707281 (pow.f64 (fma.f64 841/108 x -4/29) 2))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 841/108 x -4/29)) 707281/11664) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 841/108 x 4/29)) (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29)))))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 3 (log1p.f64 (fma.f64 841/108 x 4/29))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 841/108 x 4/29)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29))) (+.f64 (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (*.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (pow.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) 3) (/.f64 4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (fma.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (*.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (+.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (+.f64 (/.f64 353814783205469041/1586874322944 (/.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) (pow.f64 x 6))) (/.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)) (+.f64 (*.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (/.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 841/108 x -4/29)) (fma.f64 841/108 x -4/29))))
(/.f64 (+.f64 (*.f64 (/.f64 353814783205469041/1586874322944 (pow.f64 (fma.f64 841/108 x -4/29) 3)) (pow.f64 x 6)) (/.f64 -4096/594823321 (pow.f64 (fma.f64 841/108 x -4/29) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 841/108 x -4/29) 2)) (*.f64 (/.f64 -16/841 (pow.f64 (fma.f64 841/108 x -4/29) 2)) (+.f64 -16/841 (/.f64 (*.f64 x (*.f64 x 707281/11664)) -1)))))
(/.f64 (-.f64 (*.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (*.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 (*.f64 x 707281/11664) x -16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) -16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (*.f64 (+.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 707281/11664 x) x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 707281/11664 (*.f64 x x) 16/841)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 707281/11664 (*.f64 x x)) 3) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 (*.f64 x x) 3)) -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2)))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 841/108 x -4/29)) (+.f64 (*.f64 (*.f64 x x) 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 594823321/1259712 (pow.f64 x 3) -64/24389)))
(/.f64 (*.f64 (+.f64 262144/14507145975869 (pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (*.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (+.f64 262144/14507145975869 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)))) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (-.f64 4096/594823321 (*.f64 24389/19683 (pow.f64 x 3))))))
(/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (*.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 -24389/19683 (pow.f64 x 3)))))
(/.f64 (/.f64 (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) (+.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 4096/594823321) (*.f64 (pow.f64 x 3) -24389/19683)))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(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 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)
(neg.f64 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 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 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fabs.f64 (fma.f64 841/108 x 4/29))
(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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.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)
(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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)

eval124.0ms (2.6%)

Compiler

Compiled 4279 to 3450 computations (19.4% saved)

prune54.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1886194
Fresh000
Picked101
Done000
Total1896195
Error
0.0b
Counts
195 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.9b
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶0.1b
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
▶17.6b
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x)))
▶19.0b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.f64 4 29))
▶0.1b
(+.f64 4/29 (*.f64 841/108 x))
32.7b
4/29
Compiler

Compiled 124 to 104 computations (16.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
2 → 3
Calls

6 calls:

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

rewrite95.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1540×add-sqr-sqrt
1502×*-un-lft-identity
1426×add-cube-cbrt
1416×add-cbrt-cube
1402×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115216
2183916
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 841/108 x)
(+.f64 4/29 (*.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 pow.f64 (*.f64 841/108 x) 1)))) (#(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 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(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 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))))) (#(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 (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 (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 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))))) (#(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 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 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 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(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 (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 exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(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 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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)))))

simplify58.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1130×associate-/l*
974×associate-*r*
770×associate-*l*
758×associate-+r+
704×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091118
1254882
2887686
33856686
Stop Event
1×node limit
Counts
48 → 57
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (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 (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 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(log1p.f64 (expm1.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 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.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)
Outputs
4/29
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.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 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.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)))
(sqrt.f64 (*.f64 x (*.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -841/108 x))) (/.f64 (*.f64 707281/11664 (*.f64 x x)) (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(*.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 1 (/.f64 (+.f64 4/29 (*.f64 -841/108 x)) (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 -841/108 x)))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 29/27 x))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -841/108 x))))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (fma.f64 x -841/108 4/29))
(/.f64 (fma.f64 (*.f64 x -707281/11664) x 16/841) (fma.f64 x -841/108 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 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 29/27 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) 1) (+.f64 16/841 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) -29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 x 841/108 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(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)
(+.f64 1 (-.f64 (fma.f64 841/108 x 4/29) 1))
(+.f64 (fma.f64 841/108 x 4/29) 0)
(fma.f64 841/108 x 4/29)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))
0.1b
(*.f64 841/108 x)
✓0.2b
(*.f64 -707281/11664 (*.f64 x x))
✓16.6b
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms
x
@0
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms
x
@inf
(*.f64 -707281/11664 (*.f64 x x))
0.0ms
x
@0
(*.f64 -707281/11664 (*.f64 x x))

rewrite84.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1722×associate-*r/
1422×associate-*l/
954×associate-/r*
798×associate-/l*
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01369
129561
2381361
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(*.f64 -707281/11664 (*.f64 x x))
(+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 500246412961/136048896)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -707281/11664 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simplify110.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1502×associate-/r*
1366×unswap-sqr
1282×associate-/r/
448×distribute-lft-neg-in
400×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03165774
17744710
235374710
Stop Event
1×node limit
Counts
154 → 186
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))
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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1)
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
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(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841)
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
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 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.f64 x (*.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (*.f64 x x))
(*.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)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 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)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 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)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 1 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (*.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (-.f64 4/29 (*.f64 x -841/108)))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (*.f64 29/27 x))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (fma.f64 (*.f64 x x) 707281/11664 (*.f64 x 29/27))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 (*.f64 x 707281/11664) 29/27))))
(*.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 16/841 (*.f64 x (+.f64 29/27 (*.f64 x 707281/11664)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (+.f64 4/29 (*.f64 x -841/108))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2)) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))) (pow.f64 (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108))) 2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))
(pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 3)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3) 1/3)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 (+.f64 4/29 (*.f64 x -841/108)) (fma.f64 -707281/11664 (*.f64 x x) 16/841)) -1)
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(neg.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (-.f64 -4/29 (*.f64 x -841/108))))
(/.f64 (neg.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (-.f64 -4/29 (*.f64 x -841/108)))
(/.f64 (-.f64 -16/841 (*.f64 x (*.f64 x -707281/11664))) (+.f64 -4/29 (*.f64 841/108 x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) -16/841) (+.f64 -4/29 (*.f64 841/108 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 2))
(fabs.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 3))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 68719476736/210457284365172120330305161) (*.f64 (fma.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 -4096/594823321) 16777216/353814783205469041) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -44292268542362921407825091617016319887724139383235921/3996019499184929743169818581358608384 68719476736/210457284365172120330305161) (*.f64 (fma.f64 (*.f64 (pow.f64 x 6) -353814783205469041/1586874322944) (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 -4096/594823321) 16777216/353814783205469041) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 x (*.f64 x 841/729)))))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)))) (sqrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (-.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (*.f64 (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))
(-.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) (*.f64 (/.f64 (pow.f64 x 4) (+.f64 16/841 (*.f64 x (*.f64 x 707281/11664)))) 500246412961/136048896))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 -707281/11664 (*.f64 x x) -16/841))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 x (*.f64 x 841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 x (*.f64 x 841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)) (*.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 -841/729 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (*.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (*.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 x (*.f64 x 841/729))))
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(fabs.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (*.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 1))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 1 (*.f64 -707281/11664 (*.f64 x x)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x (sqrt.f64 -707281/11664)) (*.f64 x (sqrt.f64 -707281/11664)) 16/841)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) 16/841)
(+.f64 16/841 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
✓0.1b
(*.f64 x -841/108)
✓0.3b
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
✓16.5b
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
Compiler

Compiled 61 to 45 computations (26.2% saved)

series2.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite92.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1772×associate-*r/
1512×associate-*l/
862×associate-/r*
580×associate-/l*
276×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01376
128864
2355964
Stop Event
1×node limit
Counts
4 → 196
Calls
Call 1
Inputs
(*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x))
(/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108)))
(*.f64 x -841/108)
(/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 -841/108 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x -841/108)) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (*.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 707281/11664 (*.f64 x x)) (neg.f64 (-.f64 -4/29 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -707281/11664 (/.f64 (-.f64 -4/29 (*.f64 x -841/108)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -841/108) (sqrt.f64 (*.f64 x -841/108))) (/.f64 (fma.f64 x -841/108 4/29) (sqrt.f64 (*.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (/.f64 (fma.f64 x -841/108 4/29) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 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simplify172.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1622×associate-/l*
684×associate-*r*
654×associate-*l*
642×times-frac
602×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05567474
114797108
276987108
Stop Event
1×node limit
Counts
244 → 319
Calls
Call 1
Inputs
(*.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 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.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))))))
(neg.f64 (+.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)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 -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)
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) 1)
(/.f64 707281/11664 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x x)))
(/.f64 x (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) x))
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (*.f64 -841/108 (*.f64 x -841/108))))
(/.f64 -841/108 (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x (*.f64 x -841/108))))
(/.f64 (*.f64 x -841/108) (/.f64 (fma.f64 x -841/108 4/29) (*.f64 x -841/108)))
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(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) -1) (fma.f64 x -841/108 4/29))
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(/.f64 (/.f64 (neg.f64 (*.f64 707281/11664 (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) 2)
(pow.f64 (cbrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) 3)
(pow.f64 (pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 3) 1/3)
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))))
(cbrt.f64 (pow.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3)))
(expm1.f64 (log1p.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(exp.f64 (log.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(exp.f64 (*.f64 (log.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) 1))
(log1p.f64 (expm1.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(-.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)))
(*.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(*.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(*.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 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2)))
(*.f64 (cbrt.f64 (pow.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 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841)
(*.f64 -16/841 (/.f64 -1 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 16/841 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 16/841 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)
(sqrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 2))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(pow.f64 (*.f64 x -841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 1/3)
(sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(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)))
(exp.f64 (log.f64 (*.f64 x -841/108)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1)
(*.f64 707281/11664 (/.f64 1 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(*.f64 1 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 707281/11664)
(*.f64 -707281/11664 (/.f64 -1 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 707281/11664 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x)))) (+.f64 4/29 (*.f64 841/108 x)))
(*.f64 (/.f64 707281/11664 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 -29/27 x))))
(pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 1)
(pow.f64 (/.f64 841/108 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (cbrt.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) -1)
(sqrt.f64 (/.f64 500246412961/136048896 (pow.f64 (fma.f64 x -841/108 4/29) 2)))
(log.f64 (exp.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
Outputs
(*.f64 20511149/46656 (pow.f64 x 2))
(*.f64 20511149/46656 (*.f64 x x))
(+.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)))
(fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x)))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (*.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 5) (*.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(fma.f64 20511149/46656 (*.f64 x x) (fma.f64 500246412961/20155392 (pow.f64 x 3) (fma.f64 12200509765705829/8707129344 (pow.f64 x 4) (*.f64 297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(-.f64 (fma.f64 -841/108 x -4/29) (/.f64 1728/707281 x))
(+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x))
(-.f64 (*.f64 -841/108 x) (+.f64 4/29 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(-.f64 (fma.f64 -841/108 x -4/29) (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x -841/108 -4/29) (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)))
(+.f64 (+.f64 (fma.f64 x -841/108 -4/29) (/.f64 -1728/707281 x)) (/.f64 -746496/17249876309 (*.f64 x x)))
4/29
(+.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 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (*.f64 20511149/46656 (*.f64 x x))))
(+.f64 (*.f64 20511149/46656 (*.f64 x x)) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 (fma.f64 500246412961/20155392 (pow.f64 x 3) (*.f64 20511149/46656 (*.f64 x x))) (fma.f64 x 841/108 4/29))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.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)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 -1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(neg.f64 (+.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)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(*.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)
20511149/46656
(+.f64 20511149/46656 (*.f64 500246412961/20155392 x))
(+.f64 20511149/46656 (*.f64 x 500246412961/20155392))
(fma.f64 x 500246412961/20155392 20511149/46656)
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (*.f64 500246412961/20155392 x)))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392)))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656))
(+.f64 (*.f64 12200509765705829/8707129344 (pow.f64 x 2)) (+.f64 20511149/46656 (+.f64 (*.f64 297558232675799463481/3761479876608 (pow.f64 x 3)) (*.f64 500246412961/20155392 x))))
(fma.f64 12200509765705829/8707129344 (*.f64 x x) (+.f64 20511149/46656 (fma.f64 297558232675799463481/3761479876608 (pow.f64 x 3) (*.f64 x 500246412961/20155392))))
(+.f64 (fma.f64 12200509765705829/8707129344 (*.f64 x x) (fma.f64 x 500246412961/20155392 20511149/46656)) (*.f64 (pow.f64 x 3) 297558232675799463481/3761479876608))
(/.f64 -841/108 x)
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)))
(+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x))
(neg.f64 (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (*.f64 841/108 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (/.f64 841/108 x)) (/.f64 1728/707281 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -4/29 (*.f64 x x)) (/.f64 -841/108 x)) (/.f64 -1728/707281 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 4/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1728/707281 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 841/108 (/.f64 1 x)) (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 4/29 (*.f64 x x)) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (+.f64 (/.f64 841/108 x) (/.f64 746496/17249876309 (pow.f64 x 4))))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 746496/17249876309 (pow.f64 x 4)) (/.f64 1728/707281 (pow.f64 x 3)))))
(-.f64 (/.f64 -4/29 (*.f64 x x)) (+.f64 (/.f64 841/108 x) (+.f64 (/.f64 1728/707281 (pow.f64 x 3)) (/.f64 746496/17249876309 (pow.f64 x 4)))))
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(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) 3))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 707281/11664 (fma.f64 x -841/108 4/29))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 841/108 x 4/29)
✓0.1b
(/.f64 1 (fma.f64 841/108 x 4/29))
✓0.2b
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite100.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1616×add-sqr-sqrt
1582×*-un-lft-identity
1486×add-cube-cbrt
1474×add-cbrt-cube
168×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
120733
2207033
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(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 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 1)))) (#(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 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(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 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)))) (#(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 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(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 fma.f64 841/108 x 4/29)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (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 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(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 (/.f64 1 (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) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))))
((#(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 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 1)))) (#(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 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.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 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(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 /.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 pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)))) (#(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 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))))

simplify92.0ms (2%)

Algorithm
1×egg-herbie
Rules
1494×associate-+r+
1044×associate-*r/
782×associate-/r*
626×associate-*l/
570×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571752
13801664
215831654
369501654
Stop Event
1×node limit
Counts
122 → 95
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))
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (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 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 841/108 x 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 841/108 x 4/29))))
(/.f64 (fma.f64 841/108 x 4/29) 1)
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))
(/.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))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(log1p.f64 (expm1.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)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 29/4)
(+.f64 29/4 (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728)))
(+.f64 (fma.f64 x -707281/1728 29/4) (*.f64 17249876309/746496 (*.f64 x x)))
(fma.f64 x -707281/1728 (fma.f64 17249876309/746496 (*.f64 x x) 29/4))
(+.f64 29/4 (+.f64 (*.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (*.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (*.f64 x x) (*.f64 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (*.f64 17249876309/746496 (*.f64 x x))) (fma.f64 x -707281/1728 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 17249876309/746496 (*.f64 x x) 29/4)))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(/.f64 108/841 x)
(-.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
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 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 1)
(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 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(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 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(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)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(/.f64 1 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (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 (*.f64 (*.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.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 (fma.f64 841/108 x 4/29) 1)
(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 (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 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 1 (neg.f64 (/.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 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(/.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 (neg.f64 (fma.f64 841/108 x 4/29)) -1)
(fma.f64 841/108 x 4/29)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(/.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))
(/.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 707281/11664 (*.f64 x x) 16/841) (*.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 16/841 (*.f64 x (-.f64 29/27 (*.f64 x 707281/11664)))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(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 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(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)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.f64 4 29))
0.1b
(*.f64 841/108 x)
✓1.5b
(exp.f64 (log1p.f64 (*.f64 841/108 x)))
✓3.8b
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
Compiler

Compiled 39 to 33 computations (15.4% saved)

series94.0ms (2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
83.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
5.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
5.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
0.0ms
x
@inf
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.f64 4 29))
0.0ms
x
@-inf
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.f64 4 29))

rewrite100.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
950×*-commutative
852×associate-*r/
706×associate-*l/
630×unswap-sqr
562×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01535
130029
2319829
Stop Event
1×node limit
Counts
3 → 222
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(exp.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.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 +.f64 1 (+.f64 (*.f64 841/108 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 841/108 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 841/108 x) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 841/108 x)))))) (#(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 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))))) (#(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 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x)))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)) (/.f64 1 (+.f64 (*.f64 841/108 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2) (+.f64 (*.f64 841/108 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule 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4/29)))))

simplify387.0ms (8.2%)

Algorithm
1×egg-herbie
Rules
692×associate-+l-
662×associate-+r-
642×associate-*r*
602×associate-/l*
592×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05819784
115578462
272118462
Stop Event
1×node limit
Counts
258 → 356
Calls
Call 1
Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
1
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
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(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 (*.f64 x -841/108) 4/29)))
(neg.f64 (/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (log.f64 (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)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (+.f64 1 (*.f64 841/108 x)) -25/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) -25/29)
(fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 1 (*.f64 841/108 x))) -25/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.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 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(expm1.f64 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x)))))
(fma.f64 841/108 x -1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(*.f64 841/108 x)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(*.f64 841/108 x)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) 1)
(expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -1)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x)) (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -1))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x)) (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -1))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 1)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x)) (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -1))
1
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(fma.f64 841/108 x 1)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(fma.f64 841/108 x 1)
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))))
(fma.f64 841/108 x 1)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))
(exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))
(*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)))
(+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))))
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)))
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 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) 25/29)
(+.f64 (exp.f64 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))) -25/29)
(fma.f64 841/108 x -25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x))))) x)) (exp.f64 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 25/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) 25/29)
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) -25/29)
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -25/29)
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
(+.f64 (fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))) -25/29)
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -25/29))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
(+.f64 (fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))) -25/29)
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -25/29))
(-.f64 (+.f64 (*.f64 108/841 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))) x)) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) 25/29)
(+.f64 (fma.f64 108/841 (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108))) x) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))) -25/29)
(fma.f64 108/841 (/.f64 (*.f64 -841/108 (pow.f64 (/.f64 -1 x) -1)) x) (fma.f64 (pow.f64 (/.f64 -1 x) -1) -841/108 -25/29))
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(*.f64 841/108 x)
(+.f64 1 (+.f64 (*.f64 841/108 x) -1))
(*.f64 841/108 x)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(+.f64 0 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 (+.f64 (*.f64 841/108 x) 2) -2)
(*.f64 841/108 x)
(+.f64 -1 (+.f64 1 (*.f64 841/108 x)))
(*.f64 841/108 x)
(+.f64 (+.f64 -1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 1 (*.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(*.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)))
(*.f64 841/108 x)
(*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 x) (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 841/108 (cbrt.f64 x)))
(*.f64 841/108 x)
(*.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)) (/.f64 1 (+.f64 (*.f64 841/108 x) 2)))
(*.f64 841/108 x)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2) (+.f64 (*.f64 841/108 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (/.f64 1 (+.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2)))
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 841/108 x)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (*.f64 841/108 x)))) (-.f64 (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) 1))
(*.f64 841/108 x)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (*.f64 841/108 x)))))
(*.f64 841/108 x)
(*.f64 (/.f64 1 (+.f64 (*.f64 841/108 x) 2)) (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)))
(*.f64 841/108 x)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2) (+.f64 (*.f64 841/108 x) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (/.f64 1 (+.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)) (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2))) (*.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 (/.f64 (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)) (-.f64 1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2))) (*.f64 x -841/108))
(*.f64 (/.f64 (*.f64 (*.f64 841/108 x) (fma.f64 841/108 x 2)) (-.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2))) (*.f64 x -841/108))
(*.f64 -841/108 (*.f64 x (/.f64 (*.f64 841/108 (*.f64 x (fma.f64 841/108 x 2))) (-.f64 1 (pow.f64 (fma.f64 841/108 x 1) 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 841/108 x) (+.f64 (*.f64 841/108 x) 2)) (+.f64 1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3))) (+.f64 1 (+.f64 (*.f64 841/108 x) (*.f64 (*.f64 x x) 707281/11664))))
(*.f64 (/.f64 (*.f64 841/108 x) (/.f64 (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3)) (fma.f64 841/108 x 2))) (+.f64 (fma.f64 841/108 x 1) (*.f64 x (*.f64 x 707281/11664))))
(*.f64 (*.f64 (/.f64 (*.f64 841/108 x) (+.f64 1 (pow.f64 (fma.f64 841/108 x 1) 3))) (fma.f64 841/108 x 2)) (+.f64 1 (*.f64 x (+.f64 841/108 (*.f64 x 707281/11664)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (-.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (*.f64 (+.f64 (*.f64 841/108 x) 2) (+.f64 (*.f64 841/108 x) 2)))) (-.f64 (+.f64 (*.f64 841/108 x) (*.f64 (*.f64 x x) 707281/11664)) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (-.f64 (*.f64 (fma.f64 841/108 x 1) (pow.f64 (fma.f64 841/108 x 1) 3)) (*.f64 (fma.f64 841/108 x 2) (fma.f64 841/108 x 2)))) (+.f64 (fma.f64 841/108 x (*.f64 x (*.f64 x 707281/11664))) -1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (-.f64 (pow.f64 (fma.f64 841/108 x 1) 4) (*.f64 (fma.f64 841/108 x 2) (fma.f64 841/108 x 2)))) (fma.f64 841/108 x (fma.f64 x (*.f64 x 707281/11664) -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2) 3) (pow.f64 (+.f64 (*.f64 841/108 x) 2) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3)) (*.f64 (+.f64 (*.f64 841/108 x) 2) (-.f64 (+.f64 (*.f64 841/108 x) 2) (pow.f64 (+.f64 1 (*.f64 841/108 x)) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 1) 2) 3) (pow.f64 (fma.f64 841/108 x 2) 3))) (fma.f64 (fma.f64 841/108 x 1) (pow.f64 (fma.f64 841/108 x 1) 3) (*.f64 (fma.f64 841/108 x 2) (-.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (fma.f64 (fma.f64 841/108 x 2) (-.f64 (fma.f64 841/108 x 2) (pow.f64 (fma.f64 841/108 x 1) 2)) (pow.f64 (fma.f64 841/108 x 1) 4))) (+.f64 (pow.f64 (fma.f64 841/108 x 2) 3) (pow.f64 (fma.f64 841/108 x 1) 6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
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(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (+.f64 -16/841 (*.f64 -841/108 (*.f64 x (fma.f64 841/108 x -4/29)))))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fabs.f64 (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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.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)
(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 1 (*.f64 841/108 x)) -25/29)
(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 (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) (sqrt.f64 (+.f64 1 (*.f64 841/108 x))) -25/29)
(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)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 1 (*.f64 841/108 x))) -25/29)
(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)

eval507.0ms (10.8%)

Compiler

Compiled 23210 to 18487 computations (20.3% saved)

prune312.0ms (6.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New104941053
Fresh011
Picked101
Done314
Total105361059
Error
0b
Counts
1059 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.2b
(/.f64 1 (/.f64 108/841 x))
▶32.9b
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
▶0.2b
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
▶30.0b
(*.f64 841/108 x)
32.7b
4/29
Compiler

Compiled 35 to 30 computations (14.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

localize22.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
✓0.3b
(/.f64 x -108/841)
Compiler

Compiled 23 to 19 computations (17.4% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite115.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1026×associate-*r/
798×*-commutative
710×associate-*l/
464×unswap-sqr
440×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01224
124620
2292020
Stop Event
1×node limit
Counts
2 → 159
Calls
Call 1
Inputs
(/.f64 x -108/841)
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x -841/108) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 4/29 (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 x -841/108) -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x -841/108) 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 (*.f64 x -841/108) -4/29)) (/.f64 16/841 (+.f64 (*.f64 x -841/108) -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -841/108) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x -841/108) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) (sqrt.f64 (+.f64 (*.f64 x 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simplify97.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1148×associate-/r/
1090×associate-/l/
898×associate-+r+
878×associate-+l+
508×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03664895
19854167
243884159
Stop Event
1×node limit
Counts
183 → 236
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 x -841/108) 0)
(+.f64 0 (*.f64 x -841/108))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(-.f64 0 (*.f64 x -841/108))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(*.f64 x -841/108)
(*.f64 x 841/108)
(*.f64 (*.f64 x -841/108) 1)
(*.f64 (*.f64 x -841/108) -1)
(*.f64 1 (*.f64 x -841/108))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -841/108))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) -841/108)))
(*.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)))
(*.f64 (cbrt.f64 (*.f64 x -841/108)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -841/108))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (cbrt.f64 x) -841/108)))
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(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2)) (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)))
(/.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3))) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x -841/108) 3) 64/24389)) (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29))))
(pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 3) 1/3)
(neg.f64 (+.f64 (*.f64 x -841/108) -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x -841/108) 4/29))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(fma.f64 1 (*.f64 x -841/108) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.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 -1 (*.f64 x -841/108) 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))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.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 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(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 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(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 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 (*.f64 x -841/108) 0)
(*.f64 -841/108 x)
(+.f64 0 (*.f64 x -841/108))
(*.f64 -841/108 x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(*.f64 x 841/108)
(-.f64 0 (*.f64 x -841/108))
(*.f64 x 841/108)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(*.f64 -841/108 x)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x 841/108)
(*.f64 (*.f64 x -841/108) 1)
(*.f64 -841/108 x)
(*.f64 (*.f64 x -841/108) -1)
(*.f64 x 841/108)
(*.f64 1 (*.f64 x -841/108))
(*.f64 -841/108 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -841/108))
(*.f64 -841/108 x)
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) -841/108)))
(*.f64 x 841/108)
(*.f64 (sqrt.f64 (*.f64 x -841/108)) (sqrt.f64 (*.f64 x -841/108)))
(*.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 x) 2) (*.f64 (cbrt.f64 x) -841/108))
(*.f64 -841/108 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (cbrt.f64 x) -841/108)))
(*.f64 x 841/108)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2) (cbrt.f64 (*.f64 x -841/108)))
(*.f64 -841/108 x)
(*.f64 (neg.f64 x) -841/108)
(*.f64 x 841/108)
(*.f64 (neg.f64 x) 841/108)
(*.f64 -841/108 x)
(*.f64 -1 (*.f64 x -841/108))
(*.f64 x 841/108)
(*.f64 -841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 x 841/108)
(*.f64 (*.f64 (sqrt.f64 x) -841/108) (sqrt.f64 x))
(*.f64 -841/108 x)
(*.f64 (*.f64 (cbrt.f64 x) -841/108) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -841/108 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) -841/108))
(*.f64 x 841/108)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) -841/108))
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 (neg.f64 x))
(*.f64 -841/108 x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) x) -108/841)
(*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x x) -841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) x) 108/841)
(/.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) 108/841) x)
(/.f64 (*.f64 (*.f64 x x) 841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) 1) (/.f64 -108/841 x))
(*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x x) -841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (sqrt.f64 x)) (/.f64 -108/841 (sqrt.f64 x)))
(*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x x) -841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -108/841 (cbrt.f64 x)))
(*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x x) -841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (neg.f64 x)) -108/841)
(/.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) 108/841) x)
(/.f64 (*.f64 (*.f64 x x) 841/108) x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (neg.f64 x)) 108/841)
(*.f64 108/841 (/.f64 (*.f64 x (*.f64 x 707281/11664)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) 841/108) (neg.f64 x))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) -1) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) 108/841) x)
(/.f64 (*.f64 (*.f64 x x) 841/108) x)
(*.f64 (/.f64 1 (/.f64 -108/841 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 -841/108 x)
(*.f64 (/.f64 1 (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 -841/108 x)
(*.f64 (/.f64 (sqrt.f64 x) -108/841) (sqrt.f64 x))
(*.f64 -841/108 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -108/841) (cbrt.f64 x))
(*.f64 -841/108 x)
(*.f64 (/.f64 -1 (/.f64 -108/841 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 x 841/108)
(*.f64 (/.f64 -1 (/.f64 -108/841 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 x 841/108)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0)) (*.f64 x -841/108))
(*.f64 -841/108 x)
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0) (+.f64 0 (pow.f64 (*.f64 x -841/108) 3))) (+.f64 (*.f64 (*.f64 x x) 707281/11664) 0))
(*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 -108/841 x))
(/.f64 (*.f64 (*.f64 x x) -841/108) x)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x -841/108))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 x -841/108))))
(*.f64 -841/108 x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x -841/108)) (sqrt.f64 (cbrt.f64 (*.f64 x -841/108)))) (*.f64 (cbrt.f64 (*.f64 x -841/108)) (sqrt.f64 (cbrt.f64 (*.f64 x -841/108)))))
(*.f64 -841/108 x)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x -841/108)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x -841/108)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -841/108 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 -841/108 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3/2) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3/2))
(*.f64 -841/108 x)
(*.f64 (pow.f64 (/.f64 -108/841 x) -1/2) (pow.f64 (/.f64 -108/841 x) -1/2))
(*.f64 -841/108 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 x -841/108) 3) 1/6) (pow.f64 (pow.f64 (*.f64 x -841/108) 3) 1/6))
(*.f64 -841/108 x)
(pow.f64 (*.f64 x -841/108) 1)
(*.f64 -841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(*.f64 -841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x -841/108)) 3)
(*.f64 -841/108 x)
(pow.f64 (/.f64 -108/841 x) -1)
(*.f64 -841/108 x)
(pow.f64 (pow.f64 (*.f64 x -841/108) 3) 1/3)
(*.f64 -841/108 x)
(neg.f64 (*.f64 x -841/108))
(*.f64 x 841/108)
(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)
(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)
(exp.f64 (log.f64 (*.f64 x -841/108)))
(*.f64 -841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x -841/108)))
(*.f64 -841/108 x)
(-.f64 (*.f64 x -841/108) -4/29)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(-.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(-.f64 0 (+.f64 (*.f64 x -841/108) -4/29))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 25/29)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x -841/108) 4/29))) 1)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 707281/11664) (+.f64 (*.f64 x -841/108) -4/29)) (/.f64 16/841 (+.f64 (*.f64 x -841/108) -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 -4/29) 707281/11664)) (/.f64 16/841 (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 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 x -841/108)))) 1)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (+.f64 (*.f64 x -841/108) 4/29) 1)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 1 (+.f64 (*.f64 x -841/108) 4/29))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) (sqrt.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2) (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 -4/29) 707281/11664)) (/.f64 16/841 (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 -1 (+.f64 (*.f64 x -841/108) -4/29))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 x -841/108 4/29)))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (*.f64 -841/108 (fma.f64 -841/108 x 4/29)) 16/841))
(*.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) -4/29)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) -4/29))))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) -4/29)) (cbrt.f64 (+.f64 (*.f64 x -841/108) -4/29))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) -4/29))))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(*.f64 (/.f64 1 (+.f64 (*.f64 x -841/108) -4/29)) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841))
(-.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x -841/108 -4/29) 707281/11664)) (/.f64 16/841 (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 (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29)))) (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 64/24389) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 -841/108 x) (fma.f64 x -841/108 4/29)))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389) (fma.f64 x (*.f64 -841/108 (fma.f64 -841/108 x 4/29)) 16/841))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841) (+.f64 (*.f64 (*.f64 x x) 707281/11664) -16/841)) (+.f64 (*.f64 x -841/108) 4/29))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(*.f64 (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 1) (/.f64 1 (+.f64 (*.f64 x -841/108) 4/29)))
(/.f64 (+.f64 (*.f64 x (*.f64 x 707281/11664)) 16/841) (fma.f64 x -841/108 4/29))
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(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) -64/24389) (+.f64 -16/841 (neg.f64 (*.f64 (*.f64 -841/108 x) (fma.f64 x -841/108 4/29)))))
(/.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 -64/24389) (+.f64 -16/841 (*.f64 (*.f64 x 841/108) (fma.f64 -841/108 x 4/29))))
(pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 1)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 2)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x -841/108) 4/29)) 3)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 3) 1/3)
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(neg.f64 (+.f64 (*.f64 x -841/108) -4/29))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(neg.f64 (/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x -841/108) 3)) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 x -841/108) (+.f64 (*.f64 x -841/108) 4/29))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -594823321/1259712) 64/24389)) (+.f64 -16/841 (neg.f64 (*.f64 (*.f64 -841/108 x) (fma.f64 x -841/108 4/29)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -594823321/1259712 64/24389)) (+.f64 -16/841 (*.f64 (*.f64 x 841/108) (fma.f64 -841/108 x 4/29))))
(/.f64 (-.f64 -64/24389 (*.f64 (pow.f64 x 3) -594823321/1259712)) (+.f64 -16/841 (*.f64 (*.f64 x 841/108) (fma.f64 -841/108 x 4/29))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x -841/108) 4/29) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(fabs.f64 (fma.f64 -841/108 x 4/29))
(log.f64 (exp.f64 (+.f64 (*.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 (+.f64 (*.f64 x -841/108) 4/29))))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(cbrt.f64 (pow.f64 (+.f64 (*.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 (+.f64 (*.f64 x -841/108) 4/29)))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 x -841/108) 4/29)))
(fma.f64 x -841/108 4/29)
(fma.f64 -841/108 x 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x -841/108) 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 (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 (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 -1 (*.f64 x -841/108) 4/29)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)

localize36.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓0.4b
(*.f64 x -707281/1728)
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x -707281/1728)
0.0ms
x
@inf
(*.f64 x -707281/1728)
0.0ms
x
@0
(*.f64 x -707281/1728)
0.0ms
x
@inf
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
0.0ms
x
@-inf
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))

rewrite63.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1844×add-sqr-sqrt
1802×*-un-lft-identity
1706×add-cube-cbrt
1694×add-cbrt-cube
176×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
119122
2226222
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 x -707281/1728)
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -707281/1728) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 500246412961/2985984))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -707281/1728))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -707281/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -707281/1728)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 841/16 (*.f64 (*.f64 x x) 500246412961/2985984))) (+.f64 29/4 (*.f64 707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 24389/64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (*.f64 (*.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -707281/1728 29/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))))

simplify70.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1484×associate-/r*
1320×associate-*r*
1090×associate-*l*
636×distribute-lft-neg-out
448×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01451126
13511072
210711048
346561046
Stop Event
1×node limit
Counts
62 → 84
Calls
Call 1
Inputs
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (*.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.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))))))
(neg.f64 (+.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)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.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))))))
(neg.f64 (+.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 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)
(pow.f64 (*.f64 x -707281/1728) 1)
(pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/2985984))
(log.f64 (pow.f64 (exp.f64 x) -707281/1728))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))
(exp.f64 (log.f64 (*.f64 x -707281/1728)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -707281/1728)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))
(*.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(*.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))
(*.f64 (/.f64 1 (-.f64 841/16 (*.f64 (*.f64 x x) 500246412961/2985984))) (+.f64 29/4 (*.f64 707281/1728 x)))
(*.f64 (/.f64 1 (+.f64 24389/64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (*.f64 (*.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(pow.f64 (fma.f64 x -707281/1728 29/4) -1)
(pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
Outputs
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
4/29
(+.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 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (*.f64 20511149/46656 (*.f64 x x))))
(+.f64 4/29 (fma.f64 x 841/108 (*.f64 20511149/46656 (*.f64 x x))))
(fma.f64 x 841/108 (fma.f64 x (*.f64 x 20511149/46656) 4/29))
(+.f64 4/29 (+.f64 (*.f64 841/108 x) (+.f64 (*.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 x 841/108 (fma.f64 20511149/46656 (*.f64 x x) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 x 841/108 (*.f64 (*.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392)))))
(+.f64 4/29 (*.f64 x (+.f64 841/108 (*.f64 x (+.f64 20511149/46656 (*.f64 x 500246412961/20155392))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 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 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.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 -1728/707281 x) (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.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)))))))
(neg.f64 (+.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 -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 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x)) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (*.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 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 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x))
(neg.f64 (+.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))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.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 -1728/707281 x) (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.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)))))))
(neg.f64 (+.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 -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 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x)) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)
(*.f64 -707281/1728 x)
(pow.f64 (*.f64 x -707281/1728) 1)
(*.f64 -707281/1728 x)
(pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)
(*.f64 -707281/1728 x)
(pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)
(*.f64 -707281/1728 x)
(pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(sqrt.f64 (*.f64 (*.f64 x x) 500246412961/2985984))
(sqrt.f64 (*.f64 x (*.f64 x 500246412961/2985984)))
(log.f64 (pow.f64 (exp.f64 x) -707281/1728))
(*.f64 -707281/1728 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))
(*.f64 -707281/1728 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(exp.f64 (log.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x -707281/1728)) 1))
(*.f64 -707281/1728 x)
(log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (/.f64 1 (-.f64 841/16 (*.f64 (*.f64 x x) 500246412961/2985984))) (+.f64 29/4 (*.f64 707281/1728 x)))
(*.f64 (/.f64 1 (-.f64 841/16 (*.f64 x (*.f64 x 500246412961/2985984)))) (+.f64 29/4 (*.f64 x 707281/1728)))
(/.f64 (fma.f64 x 707281/1728 29/4) (-.f64 841/16 (*.f64 x (*.f64 x 500246412961/2985984))))
(/.f64 (fma.f64 x 707281/1728 29/4) (fma.f64 x (*.f64 x -500246412961/2985984) 841/16))
(*.f64 (/.f64 1 (+.f64 24389/64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (*.f64 (*.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 24389/64)) (+.f64 841/16 (+.f64 (*.f64 x (*.f64 x 500246412961/2985984)) (*.f64 20511149/6912 x))))
(/.f64 (+.f64 841/16 (*.f64 x (-.f64 (*.f64 x 500246412961/2985984) -20511149/6912))) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(/.f64 (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -2)
(pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -707281/1728 29/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -707281/1728 x 29/4))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)) (cbrt.f64 (fma.f64 -707281/1728 x 29/4)))
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)))
(pow.f64 (fma.f64 x -707281/1728 29/4) -1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 108/841 x)
✓0.3b
(/.f64 1 (/.f64 108/841 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 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
@inf
(/.f64 1 (/.f64 108/841 x))
0.0ms
x
@0
(/.f64 1 (/.f64 108/841 x))

rewrite81.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1336×add-sqr-sqrt
1300×*-un-lft-identity
1230×add-cube-cbrt
1220×add-cbrt-cube
1206×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114914
2173014
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (/.f64 108/841 x))
(/.f64 108/841 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))))) (#(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 #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -108/841 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 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x)))))))

simplify50.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1558×associate-+r+
1392×associate-+l+
1346×distribute-lft-in
772×*-commutative
748×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096710
1219608
2999500
34206500
Stop Event
1×node limit
Counts
58 → 51
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 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 1 (*.f64 x 841/108))
(*.f64 x 841/108)
(*.f64 (*.f64 x 841/108) 1)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.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 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -841/108 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (/.f64 1 x) 108/841)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
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 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(*.f64 (*.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 (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 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 841/108 x)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(*.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 108/841 x))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x)))) (cbrt.f64 (/.f64 108/841 x)))
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (pow.f64 (*.f64 x 841/108) 2))
(*.f64 841/108 x)
(log.f64 (exp.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)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 1 (/.f64 108/841 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (cbrt.f64 (/.f64 11664/707281 (*.f64 x x))) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (/.f64 1 x) 108/841)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (*.f64 x 841/108) -1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(exp.f64 (log.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)

eval170.0ms (3.6%)

Compiler

Compiled 5862 to 4725 computations (19.4% saved)

prune55.0ms (1.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3831384
Fresh011
Picked011
Done044
Total3837390
Error
0b
Counts
390 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.2b
(/.f64 1 (/.f64 108/841 x))
✓32.9b
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
▶30.2b
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓0.2b
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
✓30.0b
(*.f64 841/108 x)
32.7b
4/29
Compiler

Compiled 43 to 37 computations (14% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 1 x) 108/841)
✓0.3b
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1464×add-sqr-sqrt
1436×*-un-lft-identity
1346×add-cube-cbrt
1334×add-cbrt-cube
1318×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116614
2198414
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
(*.f64 (/.f64 1 x) 108/841)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))))) (#(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 #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) 11664/707281))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 108/841 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -108/841 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 108/841 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x)))))))

simplify56.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1516×associate-*r*
1304×associate-+r+
1250×associate-*l*
1214×associate-+l+
604×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095556
1210556
2855556
35887556
Stop Event
1×node limit
Counts
70 → 52
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 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 1 (*.f64 x 841/108))
(*.f64 (*.f64 x 841/108) 1)
(*.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.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 x 841/108)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (/.f64 (*.f64 x x) 11664/707281))
(log.f64 (exp.f64 (*.f64 x 841/108)))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(/.f64 1 (*.f64 x 841/108))
(/.f64 (/.f64 1 x) 841/108)
(/.f64 108/841 x)
(/.f64 (/.f64 108/841 x) 1)
(/.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (*.f64 x 841/108)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (*.f64 x 841/108)))
(/.f64 (/.f64 -108/841 x) -1)
(/.f64 -108/841 (neg.f64 x))
(/.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 108/841 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
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 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 108/841 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 1 (*.f64 x 841/108))
(*.f64 841/108 x)
(*.f64 (*.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 (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 x 841/108)
(*.f64 841/108 x)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.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))
(sqrt.f64 (*.f64 x (/.f64 x 11664/707281)))
(log.f64 (exp.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)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 841/108)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(/.f64 108/841 x)
(/.f64 1 (*.f64 x 841/108))
(/.f64 108/841 x)
(/.f64 (/.f64 1 x) 841/108)
(/.f64 108/841 x)
(/.f64 108/841 x)
(/.f64 (/.f64 108/841 x) 1)
(/.f64 108/841 x)
(/.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (*.f64 x 841/108)))
(/.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (*.f64 841/108 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (*.f64 x 841/108)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(/.f64 (/.f64 -108/841 x) -1)
(/.f64 108/841 x)
(/.f64 -108/841 (neg.f64 x))
(/.f64 108/841 x)
(/.f64 (/.f64 108/841 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 108/841 x)
(/.f64 (/.f64 108/841 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(/.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)
(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)
(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)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(/.f64 108/841 x)

eval11.0ms (0.2%)

Compiler

Compiled 392 to 320 computations (18.4% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done055
Total52759
Error
0b
Counts
59 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.2b
(/.f64 1 (/.f64 108/841 x))
✓32.9b
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓30.2b
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓0.2b
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
✓0.1b
(+.f64 4/29 (*.f64 841/108 x))
✓30.0b
(*.f64 841/108 x)
32.7b
4/29
Compiler

Compiled 43 to 37 computations (14% saved)

regimes67.0ms (1.4%)

Counts
12 → 1
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(/.f64 1 (/.f64 108/841 x))
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
(+.f64 (neg.f64 (/.f64 x -108/841)) (/.f64 4 29))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (+.f64 16/841 (*.f64 -707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 (/.f64 707281/11664 (+.f64 4/29 (*.f64 x -841/108))) (*.f64 x x)))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1) (/.f64 4 29))
Outputs
(+.f64 4/29 (*.f64 841/108 x))
Calls

3 calls:

51.0ms
x
8.0ms
(*.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 115 to 95 computations (17.4% saved)

regimes8.0ms (0.2%)

Accuracy

Total -60.8b remaining (-6381.1%)

Threshold costs -60.8b (-6381.1%)

Counts
2 → 3
Calls
Call 1
Inputs
4/29
(*.f64 841/108 x)
Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch32.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
15.0ms
0.00010358463409137685
2647.8878286779873
17.0ms
-3869.106972612252
-7.4482476022145505e-9
Results
28.0ms304×body256valid
Compiler

Compiled 166 to 145 computations (12.7% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
12347
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Outputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (*.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (*.f64 841/108 x)))
4/29
Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness0.0ms (0%)

end24.0ms (0.5%)

Compiler

Compiled 22 to 17 computations (22.7% saved)

Profiling

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