Details

Time bar (total: 17.4s)

analyze268.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%74.9%0.1%0%25%0%5
0%0%74.9%0.1%0%25%0%6
0%0%74.9%0.1%0%25%0%7
10%6.2%56.2%0.1%0%37.4%0%8
12.8%7.8%53%0.1%1.6%37.4%0%9
16.6%9.4%47.2%0.1%5.9%37.4%0%10
30.6%15.2%34.5%0.1%6.4%43.7%0%11
36.1%17.6%31.1%0.1%7.5%43.7%0%12
Compiler

Compiled 28 to 21 computations (25% saved)

sample2.6s (14.7%)

Results
1.8s8256×body256valid
471.0ms2078×body256infinite
303.0ms1591×body256invalid
Bogosity

preprocess64.0ms (0.4%)

Algorithm
egg-herbie
Rules
1482×fma-def
1252×+-commutative
852×distribute-neg-in
828×associate--r-
752×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053252
1121252
2306244
3781236
42186236
54947236
67431236
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 x 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) y)))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (fma.f64 -1 y 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (-.f64 91893853320467/100000000000000 y)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z)) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z))
(+.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 z)) (+.f64 z -91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (fma.f64 -1 z 91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) z))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z) z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 7936500793651/10000000000000000 z) y -13888888888889/5000000000000000) y 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify77.0ms (0.4%)

Algorithm
egg-herbie
Rules
1570×fma-def
1230×associate-/l*
1190×+-commutative
872×distribute-neg-in
758×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02363
14663
210261
324359
463659
5165059
6344859
7552559
8718859
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

eval2.0ms (0%)

Compiler

Compiled 135 to 88 computations (34.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New336
Fresh011
Picked000
Done000
Total347
Error
5.7b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
5.8b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
5.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.8b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
Compiler

Compiled 76 to 55 computations (27.6% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)
0.2b
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
5.5b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 91 to 57 computations (37.4% saved)

series17.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
7.0ms
x
@0
(*.f64 (+.f64 x -1/2) (log.f64 x))
2.0ms
x
@-inf
(*.f64 (+.f64 x -1/2) (log.f64 x))
1.0ms
x
@inf
(*.f64 (+.f64 x -1/2) (log.f64 x))
1.0ms
y
@-inf
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms
x
@0
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite147.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1152×associate-/r*
478×add-sqr-sqrt
456×pow1
456×*-un-lft-identity
450×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02198
146698
2602298
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(*.f64 (+.f64 x -1/2) (log.f64 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000)
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 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(2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))))

simplify151.0ms (0.9%)

Algorithm
egg-herbie
Rules
1474×associate-+l-
1386×associate-+r-
834×associate--r+
636×fma-def
424×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055812303
1136910949
2538410947
Stop Event
node limit
Counts
279 → 356
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
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(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
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(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
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(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z))))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
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(+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) (-.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) (-.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2))
(fabs.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
5.5b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 112 to 73 computations (34.8% saved)

series5.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
0.0ms
y
@0
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
0.0ms
y
@-inf
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
0.0ms
z
@inf
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
0.0ms
z
@-inf
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite127.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
528×add-sqr-sqrt
502×pow1
502×*-un-lft-identity
498×add-exp-log
496×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02298
151298
2687898
Stop Event
node limit
Counts
4 → 170
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
(*.f64 (-.f64 x 1/2) (log.f64 x))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
Outputs
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(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))))

simplify134.0ms (0.8%)

Algorithm
egg-herbie
Rules
1398×associate-+l-
1364×associate-+r-
878×associate--r+
682×associate--l+
632×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046410494
111449342
246549340
Stop Event
node limit
Counts
242 → 330
Calls
Call 1
Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 -1/2 (log.f64 x))
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(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
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(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (neg.f64 x)))
(+.f64 (*.f64 (log.f64 x) x) (+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (neg.f64 x) 1)))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (neg.f64 x) 1)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) (*.f64 (log.f64 x) x)) (*.f64 (log.f64 x) -1/2))
(+.f64 (+.f64 (neg.f64 x) (*.f64 x (log.f64 x))) (*.f64 -1/2 (log.f64 x)))
(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
Outputs
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z)))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z)))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(/.f64 83333333333333/1000000000000000 x)
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (*.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2))
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (neg.f64 x))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
0.1b
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
0.3b
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
5.5b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 78 to 50 computations (35.9% saved)

series3.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
0.0ms
x
@0
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
0.0ms
z
@-inf
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
0.0ms
z
@inf
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
0.0ms
x
@inf
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))

rewrite100.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1404×associate-*r/
1276×associate-*l/
416×add-sqr-sqrt
394×pow1
394×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01963
140963
2495463
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (-.f64 91893853320467/100000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (neg.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))) (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000))) (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (/.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000))))) (/.f64 (pow.f64 x 3) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x (+.f64 x 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000))) (/.f64 (*.f64 x x) (+.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 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simplify95.0ms (0.5%)

Algorithm
egg-herbie
Rules
1446×unswap-sqr
738×associate-+l+
640×associate-+r+
572×+-commutative
424×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03125933
17915517
230034923
Stop Event
node limit
Counts
171 → 182
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
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(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
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83333333333333/1000000000000000
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(*.f64 y (pow.f64 z 2))
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(*.f64 y z)
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(*.f64 z (+.f64 7936500793651/10000000000000000 y))
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(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)
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(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) 91893853320467/100000000000000) x)
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(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000)) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(/.f64 (*.f64 1 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1))
(+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)
(+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)
(*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(*.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000)) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (*.f64 1 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) 1) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (*.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
Outputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 (log.f64 x) x) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x)
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 x (neg.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(fma.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
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(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(+.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(*.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 7936500793651/10000000000000000 y)))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000)) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (*.f64 1 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 7936500793651/10000000000000000 y)))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) 1) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))
(/.f64 (*.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (fma.f64 (*.f64 z z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (+.f64 7936500793651/10000000000000000 y)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 7936500793651/10000000000000000 y)))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 13888888888889/5000000000000000))))
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)

eval644.0ms (3.7%)

Compiler

Compiled 29124 to 18554 computations (36.3% saved)

prune257.0ms (1.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New92023943
Fresh000
Picked101
Done202
Total92323946
Error
1.5b
Counts
946 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
28.7b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x))
22.1b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
10.5b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
5.9b
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
6.3b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
6.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.9b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
23.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.8b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
5.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
11.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
6.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
5.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
15.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
27.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
23.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
11.0b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
28.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
6.8b
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Compiler

Compiled 1190 to 872 computations (26.7% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x)))
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
3.7b
(exp.f64 (log1p.f64 x))
5.5b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 117 to 71 computations (39.3% saved)

series14.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
(exp.f64 (log1p.f64 x))
5.0ms
x
@-inf
(exp.f64 (log1p.f64 x))
2.0ms
x
@inf
(exp.f64 (log1p.f64 x))
0.0ms
x
@-inf
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x)))
0.0ms
x
@inf
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x)))

rewrite99.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1802×associate-*r/
1464×associate-*l/
334×associate-+l+
308×associate-/r*
296×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01346
128538
2378136
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(exp.f64 (log1p.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1)))))))
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x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))))))

simplify139.0ms (0.8%)

Algorithm
egg-herbie
Rules
1144×+-commutative
1052×associate-/r*
806×associate-+l-
716×associate-+r-
708×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03939797
110658967
242888691
Stop Event
node limit
Counts
171 → 233
Calls
Call 1
Inputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 x 1)
(+.f64 1 x)
(-.f64 (+.f64 x 1) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)
(-.f64 (+.f64 2 x) 1)
(*.f64 (+.f64 x 1) 1)
(*.f64 1 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x)))
(pow.f64 (+.f64 x 1) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 1) (log1p.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(log.f64 (exp.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
(expm1.f64 (log.f64 (+.f64 2 x)))
(log1p.f64 (expm1.f64 (+.f64 x 1)))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (-.f64 -1 x) 1)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 -1 x) 1)))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 (-.f64 -8106146679533/100000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (*.f64 (-.f64 -1 x) 1))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (+.f64 (*.f64 (-.f64 -1 x) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1)))
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1)))
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) 3) (pow.f64 (pow.f64 (+.f64 x 1) 2) 3)) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
Outputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 -1 (pow.f64 (/.f64 -1 x) -1))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))
(+.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(+.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (*.f64 -1 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 (pow.f64 (/.f64 -1 x) -1) -1 (/.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 x -1)))
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) -8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (/.f64 1 x) -1))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (+.f64 91893853320467/100000000000000 (*.f64 (neg.f64 (log.f64 x)) 1/2))) (/.f64 1 (/.f64 1 x)))
(-.f64 (-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 91893853320467/100000000000000) (*.f64 x (neg.f64 (log.f64 x)))) x)
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 91893853320467/100000000000000) (+.f64 (*.f64 x (neg.f64 (log.f64 x))) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1)))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) (+.f64 8106146679533/100000000000000 (/.f64 1 (/.f64 1 x))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)))
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)) (*.f64 x (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))) (+.f64 8106146679533/100000000000000 (pow.f64 (/.f64 1 x) -1)))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2)) (+.f64 8106146679533/100000000000000 (/.f64 1 (/.f64 1 x))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)))
(-.f64 (fma.f64 (neg.f64 (log.f64 x)) 1/2 (-.f64 -8106146679533/100000000000000 x)) (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (+.f64 91893853320467/100000000000000 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1/2))) (exp.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (*.f64 (pow.f64 (/.f64 -1 x) -1) 1))
(+.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) -1/2 91893853320467/100000000000000)) (pow.f64 (/.f64 -1 x) -1))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2))
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 -8106146679533/100000000000000 x)))
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x))
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 53 to 33 computations (37.7% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 83333333333333/1000000000000000 x)
0.0ms
x
@inf
(/.f64 83333333333333/1000000000000000 x)
0.0ms
x
@-inf
(/.f64 83333333333333/1000000000000000 x)

rewrite66.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1022×add-sqr-sqrt
994×*-un-lft-identity
948×pow1
938×add-cube-cbrt
930×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11077
212627
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))))

simplify43.0ms (0.2%)

Algorithm
egg-herbie
Rules
1012×associate-*r*
940×associate-*r/
900×associate-/l*
782×associate-*l*
692×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049378
1101264
2451150
32646144
Stop Event
node limit
Counts
20 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
Outputs
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) -1)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 0)
(/.f64 83333333333333/1000000000000000 x)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.2b
(-.f64 (*.f64 x (log.f64 x)) x)
0.3b
(*.f64 x (log.f64 x))
5.5b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 89 to 52 computations (41.6% saved)

series43.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@0
(*.f64 x (log.f64 x))
11.0ms
x
@-inf
(*.f64 x (log.f64 x))
5.0ms
x
@inf
(*.f64 x (log.f64 x))
0.0ms
z
@inf
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.0ms
z
@-inf
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

rewrite106.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1660×associate-*r/
1350×associate-*l/
358×associate-/r*
344×add-sqr-sqrt
332×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
133049
2432149
Stop Event
node limit
Counts
3 → 163
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (*.f64 x (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 x (log.f64 x)) x))))) 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simplify135.0ms (0.8%)

Algorithm
egg-herbie
Rules
1226×associate-+r+
1062×associate-*r/
928×+-commutative
810×associate-+l-
742×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04469257
111728939
250408651
Stop Event
node limit
Counts
211 → 250
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 -13888888888889/5000000000000000 z)
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
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(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000))))
(/.f64 (*.f64 z (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000))) (neg.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (*.f64 z (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (*.f64 1 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000))) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (*.f64 1 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z)) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (*.f64 (*.f64 z (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) z) (neg.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) z) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (*.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) 1) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000))))))
(pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(log.f64 (pow.f64 x x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
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(pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) 1/3)
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000)) 2))
(fabs.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3)))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) (pow.f64 z 3)))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (*.f64 z (*.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
0.0b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
0.3b
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
0.3b
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series20.0ms (0.1%)

Counts
3 → 39
Calls

15 calls:

TimeVariablePointExpression
17.0ms
z
@0
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
0.0ms
x
@0
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
0.0ms
z
@inf
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
0.0ms
z
@0
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
0.0ms
z
@inf
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)

rewrite114.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1264×associate-/r*
912×associate-/l*
416×add-sqr-sqrt
398×pow1
398×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881
140269
2532269
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) (-.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (-.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) 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egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -13888888888889/5000000000000000 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)))))

simplify125.0ms (0.7%)

Algorithm
egg-herbie
Rules
1658×associate-/r/
1452×associate-+r+
986×+-commutative
552×fma-def
442×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04147944
110127536
247787526
Stop Event
node limit
Counts
178 → 241
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
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(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
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(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))))
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(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
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(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
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(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
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(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
83333333333333/1000000000000000
(*.f64 -13888888888889/5000000000000000 z)
(*.f64 -13888888888889/5000000000000000 z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) 1)
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 1)
(*.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
(pow.f64 (/.f64 x (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) -1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))) (-.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
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(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
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(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 z))) 916666666666667/1000000000000000)
(-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))) (/.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))
(-.f64 (+.f64 83333333333333/1000000000000000 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 z)))) 1)
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(*.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))
(*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))
(/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))))
(/.f64 (sqrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)) (sqrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)))))
(/.f64 (sqrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)) (sqrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)))) (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)) (cbrt.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)))) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)) (cbrt.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)))))
(/.f64 (neg.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000))) (neg.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))
(/.f64 (neg.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))) (neg.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) 1) (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (sqrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) (sqrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))) (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))) (cbrt.f64 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z))))
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 z -13888888888889/5000000000000000 83333333333333/1000000000000000)
(fma.f64 1 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)
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(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
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(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
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(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 -13888888888889/5000000000000000 (/.f64 x z)))) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
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(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (-.f64 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 -1157407407407412037037037037/5000000000000000000000000000000 z -6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (fma.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (-.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) -1157407407407412037037037037/5000000000000000000000000000000))))
(/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (-.f64 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 -1157407407407412037037037037/5000000000000000000000000000000 z -6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (fma.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (-.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) -1157407407407412037037037037/5000000000000000000000000000000))))
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2))
(fabs.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 z -13888888888889/5000000000000000 83333333333333/1000000000000000)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 1 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)
(fma.f64 (cbrt.f64 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
0.2b
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
0.5b
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
5.5b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 136 to 86 computations (36.8% saved)

series8.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
0.0ms
x
@0
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
0.0ms
x
@-inf
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
970×associate-*r/
870×associate-*l/
738×distribute-rgt-in
708×distribute-lft-in
308×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
132369
2372069
Stop Event
node limit
Counts
3 → 231
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (+.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 91893853320467/100000000000000) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (+.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (*.f64 (+.f64 x 91893853320467/100000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) 8106146679533/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x 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(log.f64 x) x) 91893853320467/100000000000000) 1/4) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) 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(2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)))))

simplify207.0ms (1.2%)

Algorithm
egg-herbie
Rules
1358×associate-/l/
1288×associate-/r/
786×+-commutative
440×associate--r+
418×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041517553
1114216083
2502016083
Stop Event
node limit
Counts
259 → 266
Calls
Call 1
Inputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3)))) (pow.f64 (-.f64 (log.f64 x) 1) 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 (-.f64 (log.f64 x) 1) 3)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2))))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 x (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 1 (+.f64 x 91893853320467/100000000000000)))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)
(+.f64 (+.f64 x 91893853320467/100000000000000) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (+.f64 x 91893853320467/100000000000000))
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1) (*.f64 (+.f64 x 91893853320467/100000000000000) 1))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)) x)
(+.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)
(+.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x)
(+.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) x)
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x 91893853320467/100000000000000))
(-.f64 (exp.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) 8106146679533/100000000000000)
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) x)
(-.f64 (+.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x 91893853320467/100000000000000))
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))
(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) 1)
(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x)
(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1)
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(*.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))
(*.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1/4) (*.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1/4) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1/4)) (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))) (cbrt.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(*.f64 (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000))
(*.f64 (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (+.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) 8444480278083503881401098089/10000000000000000000000000000)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))
(/.f64 (*.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) 1) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))) (sqrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 3)) (*.f64 (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/4) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 (/.f64 1/4 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (+.f64 (log.f64 x) -1) 2)))))))
(+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3)))) (pow.f64 (-.f64 (log.f64 x) 1) 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (*.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 (-.f64 (log.f64 x) 1) 3)))))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) 3))) (pow.f64 (-.f64 (log.f64 x) 1) 2))) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (pow.f64 x 2))))))
(fma.f64 (pow.f64 x 3) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))))) (fma.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) (*.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3)))))))) (+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 (+.f64 (log.f64 x) -1) x (*.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 1/4 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))) (*.f64 x x)))))
(fma.f64 (pow.f64 x 3) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)))) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/4) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))))))
(fma.f64 (pow.f64 x 3) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)))) (fma.f64 -1/16 (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 4)))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 x (*.f64 x (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))) (pow.f64 (+.f64 (log.f64 x) -1) 2)) (*.f64 (/.f64 1/4 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (+.f64 (log.f64 x) -1) 2))))))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (*.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (*.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) -1) x (*.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
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(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3) 1/3)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 2))
(sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x)) 2))
(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000) 3))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)) 1))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) x))

eval1.0s (6%)

Compiler

Compiled 54036 to 34902 computations (35.4% saved)

prune853.0ms (4.9%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New1597321629
Fresh16218
Picked101
Done224
Total1616361652
Error
1.4b
Counts
1652 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
11.3b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 3)
43.2b
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
10.5b
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
10.5b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
16.2b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x))
10.9b
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))))
29.9b
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.6b
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 83333333333333/1000000000000000 x))
5.9b
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
7.3b
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
6.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
25.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
28.2b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
11.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
11.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
24.6b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
13.4b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000) (/.f64 83333333333333/1000000000000000 x))
10.7b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
31.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
6.3b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
5.8b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
27.2b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
10.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
10.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
27.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
23.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
19.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
43.8b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.7b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
11.4b
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
30.5b
(*.f64 x (+.f64 (log.f64 x) -1))
Compiler

Compiled 1486 to 1103 computations (25.8% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x)))
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
3.9b
(pow.f64 (E.f64) (log1p.f64 x))
5.5b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 122 to 72 computations (41% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x)))
1.0ms
x
@-inf
(pow.f64 (E.f64) (log1p.f64 x))
1.0ms
x
@inf
(pow.f64 (E.f64) (log1p.f64 x))
0.0ms
x
@0
(pow.f64 (E.f64) (log1p.f64 x))
0.0ms
x
@-inf
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x)))

rewrite105.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1838×associate-*r/
1486×associate-*l/
348×add-sqr-sqrt
340×associate-+l+
336×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01554
133238
2439636
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(pow.f64 (E.f64) (log1p.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (log1p.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 x)) (pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 (log1p.f64 x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 (log1p.f64 x)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1)))))))
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simplify149.0ms (0.9%)

Algorithm
egg-herbie
Rules
1480×+-commutative
988×*-commutative
936×associate-+l-
824×associate-+r-
676×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046110036
114058970
248418688
Stop Event
node limit
Counts
164 → 260
Calls
Call 1
Inputs
1
(+.f64 (*.f64 (log.f64 (E.f64)) x) 1)
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2))))
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3)))))
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))
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(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
Outputs
1
(+.f64 (*.f64 (log.f64 (E.f64)) x) 1)
(+.f64 1 x)
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2))))
(+.f64 1 x)
(+.f64 (*.f64 (log.f64 (E.f64)) x) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3)))))
(+.f64 1 x)
(exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64)))))
(exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x)))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 0 (log.f64 x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))))
(+.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)))
(+.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x))
(+.f64 (exp.f64 (+.f64 0 (log.f64 x))) (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)) (+.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 0))))
(+.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 0 (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x)))
(+.f64 (exp.f64 (+.f64 0 (log.f64 x))) (+.f64 (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x) (/.f64 (/.f64 0 x) x)))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64)))))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)) (+.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x 3) 0))) (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 0))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x) (+.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 0 (*.f64 x x)) (/.f64 0 (pow.f64 x 3)))))
(+.f64 (exp.f64 (+.f64 0 (log.f64 x))) (+.f64 (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x) (+.f64 (/.f64 (/.f64 0 x) x) (/.f64 0 (pow.f64 x 3)))))
(pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x))
(+.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 x 1)))
(+.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 x 1)) (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 x x) 0))))
(+.f64 (/.f64 0 (*.f64 x x)) (+.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 (/.f64 (/.f64 0 x) x) (+.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(+.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 -1/6 (pow.f64 (log.f64 (E.f64)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/3 (log.f64 (E.f64)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (log.f64 (E.f64))) x) (/.f64 (*.f64 (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -1 (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (pow.f64 x 3) 0)) (+.f64 (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 x 1)) (/.f64 (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 x x) 0)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 0 (pow.f64 x 3))) (+.f64 (/.f64 0 (*.f64 x x)) (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (/.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (+.f64 (/.f64 (/.f64 0 x) x) (+.f64 (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 0 (pow.f64 x 3)))))
(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) -8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x)) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 (E.f64))) (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2))) (pow.f64 x 2))) (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x))) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 (E.f64))) (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (E.f64))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 (E.f64)) 2)) (+.f64 (*.f64 1/6 (pow.f64 (log.f64 (E.f64)) 3)) (*.f64 1/3 (log.f64 (E.f64))))) (pow.f64 x 3)))))) 8106146679533/100000000000000)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 x (+.f64 0 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))))
(-.f64 (-.f64 (fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000) (*.f64 x (neg.f64 (log.f64 x)))) (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 (+.f64 0 (log.f64 x)) x (fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)) (exp.f64 (+.f64 0 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x)) (*.f64 1/2 (log.f64 (/.f64 1 x)))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (+.f64 91893853320467/100000000000000 (fma.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)) (*.f64 1/2 (neg.f64 (log.f64 x)))))) (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x 91893853320467/100000000000000) (-.f64 (-.f64 (*.f64 1/2 (neg.f64 (log.f64 x))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x)) (exp.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(-.f64 (-.f64 (fma.f64 (+.f64 0 (log.f64 x)) x (fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)) (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x)) (exp.f64 (+.f64 0 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (log.f64 (E.f64))) x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 (E.f64)) 2)) (*.f64 -1/2 (log.f64 (E.f64))))) (pow.f64 x 2))))))) (exp.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (E.f64))))))
(-.f64 (fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (+.f64 91893853320467/100000000000000 (fma.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 x 1)) (fma.f64 1/2 (neg.f64 (log.f64 x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))) (/.f64 (*.f64 x x) 0))))))) (exp.f64 (neg.f64 (*.f64 1 (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 (neg.f64 (neg.f64 (log.f64 x))) x 91893853320467/100000000000000) (-.f64 (-.f64 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 0 (*.f64 x x))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 x)))) x)) (exp.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 (+.f64 0 (log.f64 x)) x (fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)) (/.f64 (exp.f64 (+.f64 0 (log.f64 x))) x)) (-.f64 (/.f64 (/.f64 0 x) x) (exp.f64 (+.f64 0 (log.f64 x)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 (E.f64) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (pow.f64 (E.f64) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)) (pow.f64 (E.f64) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 6) (+.f64 (pow.f64 (+.f64 1 x) 6) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))) (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6) (fma.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)) (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6) (fma.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 6)))))
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2))
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x))
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))) -8106146679533/100000000000000)
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 -1 (log.f64 x)) -8106146679533/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
0.3b
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x (log.f64 x)) x)
0.2b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.3b
(*.f64 x (log.f64 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 55 to 24 computations (56.4% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms
z
@inf
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms
x
@0
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms
z
@0
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms
x
@-inf
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1522×add-sqr-sqrt
1500×*-un-lft-identity
1404×add-cube-cbrt
1388×add-cbrt-cube
1374×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2185113
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))))

simplify47.0ms (0.3%)

Algorithm
egg-herbie
Rules
1046×associate-*r*
966×distribute-rgt-neg-out
964×distribute-lft-neg-out
926×associate-*l*
652×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061531
1146417
2547297
33918297
Stop Event
node limit
Counts
21 → 28
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
Outputs
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 x)) (/.f64 z (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))
(fabs.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) -1)
(+.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 0)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
30.1b
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
Compiler

Compiled 67 to 38 computations (43.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms
x
@-inf
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1542×add-sqr-sqrt
1506×*-un-lft-identity
1426×add-cube-cbrt
1416×add-cbrt-cube
1404×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
11687
220547
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
1024×unswap-sqr
956×associate-/l*
952×*-commutative
930×associate-/r*
730×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086501
1171501
2412501
31031501
43778501
Stop Event
node limit
Counts
43 → 36
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))))
(*.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x))))
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2)
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000))))
(*.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 1 (sqrt.f64 (/.f64 x (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 x 6944444444444388888888888889/1000000000000000000000000000000) x)))
(/.f64 1 (sqrt.f64 (*.f64 x (/.f64 x 6944444444444388888888888889/1000000000000000000000000000000))))
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2)) 1/2)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(cbrt.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (*.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))) 1/2))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))
(/.f64 83333333333333/1000000000000000 x)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x (log.f64 x)) x)
0.3b
(*.f64 x (log.f64 x))
0.3b
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)
5.5b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 109 to 58 computations (46.8% saved)

series42.0ms (0.2%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1878×*-un-lft-identity
1754×add-cube-cbrt
1738×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
121117
2240217
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))))))

simplify69.0ms (0.4%)

Algorithm
egg-herbie
Rules
1310×associate-+l+
918×associate-*r/
878×associate-*r*
728×associate-*l*
660×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01201434
12941410
29951410
349371410
Stop Event
node limit
Counts
44 → 53
Calls
Call 1
Inputs
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x))
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(*.f64 x (-.f64 (log.f64 x) 1))
(*.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(*.f64 1 (-.f64 (*.f64 x (log.f64 x)) x))
(*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2))
(log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(fma.f64 x (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) x (neg.f64 x))
(fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))
Outputs
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) 1)
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (fma.f64 x (log.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(-.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(*.f64 x (-.f64 (log.f64 x) 1))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1)
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 1 (-.f64 (*.f64 x (log.f64 x)) x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4)) (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 1/4))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(*.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (*.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (log.f64 x)))) (-.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (pow.f64 x x)))) (-.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 2) (*.f64 x (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (*.f64 x (log.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (log.f64 (pow.f64 x x)) (fma.f64 x (log.f64 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 2))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x))))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 x)) x) 3))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(exp.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 1))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (log.f64 x)) x)))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(fma.f64 (log.f64 x) x (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(fma.f64 1 (*.f64 x (log.f64 x)) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (log.f64 (pow.f64 x x)) x)

eval823.0ms (4.7%)

Compiler

Compiled 40372 to 23852 computations (40.9% saved)

prune618.0ms (3.5%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New1290221312
Fresh92029
Picked101
Done336
Total1303451348
Error
1.4b
Counts
1348 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
43.5b
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
43.3b
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
43.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
43.3b
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
43.2b
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
43.2b
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
43.3b
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
43.5b
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)
62.3b
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
43.2b
(/.f64 83333333333333/1000000000000000 x)
62.3b
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
10.5b
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
31.1b
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x))
5.9b
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
12.0b
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
43.2b
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
6.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
25.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
28.2b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
11.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
24.6b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
20.3b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
10.7b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
31.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
5.9b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
10.6b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
27.2b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
10.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
27.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
23.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
43.8b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.7b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
11.4b
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
14.3b
(+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
62.3b
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
43.2b
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
30.5b
(*.f64 x (+.f64 (log.f64 x) -1))
62.3b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
Compiler

Compiled 1524 to 1147 computations (24.7% saved)

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))))
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
4.0b
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))
5.5b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 141 to 87 computations (38.3% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))))
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))
1.0ms
x
@0
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))
1.0ms
x
@-inf
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))))

rewrite100.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1718×associate-*l/
406×associate-/r*
404×add-sqr-sqrt
388×*-un-lft-identity
382×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01874
139438
2510536
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))))
Outputs
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91893853320467/100000000000000)) (-.f64 -1 x))))))

simplify154.0ms (0.9%)

Algorithm
egg-herbie
Rules
904×associate-+l-
784×associate-+r-
758×associate--r+
712×associate-*r/
702×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046510710
113439966
250899954
Stop Event
node limit
Counts
158 → 257
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) 1)
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))))
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2)))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))))
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(exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))
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(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))))
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(-.f64 (*.f64 -1/2 (log.f64 x)) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x)) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x))) 8106146679533/100000000000000)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 (-.f64 (log.f64 x) (*.f64 2 (log.f64 (sqrt.f64 (E.f64))))) x) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)))))) 8106146679533/100000000000000)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)))))) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)))))) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))))
(+.f64 x 1)
(+.f64 1 x)
(-.f64 (+.f64 x 1) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) 1)
(-.f64 (+.f64 2 x) 1)
(*.f64 (+.f64 x 1) 1)
(*.f64 1 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 (log1p.f64 x)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log1p.f64 x)) (pow.f64 (cbrt.f64 (E.f64)) (log1p.f64 x)))
(*.f64 (pow.f64 1 (*.f64 2 (log1p.f64 x))) (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 x))) (pow.f64 (pow.f64 (E.f64) 1/4) (*.f64 2 (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (*.f64 2 (log1p.f64 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))
(/.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (-.f64 (*.f64 x x) x)))
(sqrt.f64 (pow.f64 (+.f64 x 1) 2))
(log.f64 (exp.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3))
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(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) 3) (pow.f64 (pow.f64 (+.f64 x 1) 2) 3)) (/.f64 1 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
Outputs
1
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) 1)
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1)
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2))))
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (*.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x)))
(fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) (fma.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x) 1))
(+.f64 (*.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x)) (+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (fma.f64 (fma.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (fma.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3))) (pow.f64 x 3) (*.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x))))
(+.f64 (fma.f64 2 (*.f64 (log.f64 (sqrt.f64 (E.f64))) x) 1) (fma.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) -2 (fma.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)))) (pow.f64 x 3))))
(exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64))))))
(pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))))
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))
(fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))))))
(+.f64 (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (*.f64 (/.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) x) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) x)))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (+.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 2/3 (log.f64 (sqrt.f64 (E.f64))))))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (*.f64 (log.f64 (/.f64 1 x)) (log.f64 (sqrt.f64 (E.f64)))))) (+.f64 (*.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2)) (*.f64 -1 (log.f64 (sqrt.f64 (E.f64)))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 x (log.f64 (sqrt.f64 (E.f64))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))))) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 x 3) (fma.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3) (fma.f64 -2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3)))))))
(+.f64 (fma.f64 2 (/.f64 (log.f64 (sqrt.f64 (E.f64))) (/.f64 x (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))))) (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x))))) (+.f64 (*.f64 (/.f64 (fma.f64 2 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) (neg.f64 (log.f64 (sqrt.f64 (E.f64))))) x) (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (neg.f64 (log.f64 x)))) (pow.f64 x 3)) (fma.f64 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 2) -2 (fma.f64 (log.f64 (sqrt.f64 (E.f64))) 2/3 (*.f64 4/3 (pow.f64 (log.f64 (sqrt.f64 (E.f64))) 3)))))))
(exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64))))))
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(pow.f64 (exp.f64 2) (*.f64 (log.f64 (sqrt.f64 (E.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))) (log.f64 (sqrt.f64 (E.f64)))) x)) (exp.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (sqrt.f64 (E.f64)))))))
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 6) (pow.f64 (+.f64 1 x) 6)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000))))) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6) (pow.f64 (+.f64 1 x) 6)) (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 x 1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 6) (+.f64 (pow.f64 (+.f64 1 x) 6) (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) 3) (pow.f64 (pow.f64 (+.f64 1 x) 3) 3)) (*.f64 (fma.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 6)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (sqrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 x 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 x 1) (+.f64 x (+.f64 191893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) 2) (*.f64 (+.f64 1 x) (+.f64 x (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 191893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) 191893853320467/100000000000000)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 1)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 2)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 3)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(pow.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3) 1/3)
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -8106146679533/100000000000000 x)) 2))
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x))
(log.f64 (exp.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x)) 3))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))) 1))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 -8106146679533/100000000000000 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) (-.f64 -1 x))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000)) (-.f64 -1 x))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 -1 x)))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) -8106146679533/100000000000000) x)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x (+.f64 (log.f64 x) -1))
Compiler

Compiled 17 to 10 computations (41.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1726×add-sqr-sqrt
1710×*-un-lft-identity
1592×add-cube-cbrt
1570×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116817
2210417
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 (log.f64 x) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x))))))

simplify55.0ms (0.3%)

Algorithm
egg-herbie
Rules
1364×associate-+r+
946×associate-+l+
590×associate-*r/
466×associate-/r/
460×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090896
1257862
2912850
33682848
Stop Event
node limit
Counts
36 → 44
Calls
Call 1
Inputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x)))
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1)
(/.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))
(pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2))
(log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 x (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) x (neg.f64 x))
Outputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 x (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) 1)))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 x (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) 1)))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 x (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) 1)))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
(*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(*.f64 x (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) -1))
(*.f64 x (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 x (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 x)) 1)))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (neg.f64 x) (*.f64 x (log.f64 x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1)))) 1)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(/.f64 (*.f64 x (fma.f64 (log.f64 x) (log.f64 x) -1)) (+.f64 (log.f64 x) 1))
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1)))
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 x (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.f64 -1 (pow.f64 (log.f64 x) 3))))
(*.f64 (/.f64 x (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) (+.f64 -1 (pow.f64 (log.f64 x) 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1))))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1)))
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) x) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))))
(/.f64 x (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 1 (*.f64 (log.f64 x) -1))) (+.f64 -1 (pow.f64 (log.f64 x) 3))))
(*.f64 (/.f64 x (+.f64 1 (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))) (+.f64 -1 (pow.f64 (log.f64 x) 3)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (+.f64 (log.f64 x) 1))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (log.f64 x)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (fma.f64 x (*.f64 (pow.f64 (log.f64 x) 2) x) (fma.f64 x x (*.f64 x (*.f64 x (log.f64 x))))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 (log.f64 x) 3))) (fma.f64 x x (*.f64 (*.f64 x (log.f64 x)) (fma.f64 x (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 x 3)) (*.f64 x (+.f64 x (*.f64 (log.f64 x) (fma.f64 x (log.f64 x) x)))))
(pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 1)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3) 1/3)
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 2))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(log.f64 (pow.f64 (*.f64 x (exp.f64 -1)) x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1)))))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 3))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 1))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 (log.f64 x) x (neg.f64 x))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 x (log.f64 x)) x)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x (log.f64 x)) x)
0.3b
(*.f64 x (log.f64 x))
3.4b
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)
6.2b
(*.f64 y (*.f64 z z))
Compiler

Compiled 59 to 18 computations (69.5% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)
0.0ms
y
@0
(*.f64 y (*.f64 z z))
0.0ms
z
@0
(*.f64 y (*.f64 z z))
0.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1048×*-commutative
996×associate-*r/
760×associate-/r*
742×associate-*l/
604×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
121934
2291134
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 y (*.f64 z z))
(/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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z) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2))) (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000)) (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 83333333333333/1000000000000000 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (-.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000))))) (-.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (-.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))))))

simplify71.0ms (0.4%)

Algorithm
egg-herbie
Rules
1124×distribute-lft-in
1082×distribute-rgt-in
1018×associate-*r/
886×*-commutative
756×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01823861
14883047
220793043
Stop Event
node limit
Counts
127 → 95
Calls
Call 1
Inputs
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(*.f64 y (pow.f64 z 2))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) 1)
(pow.f64 (*.f64 y (*.f64 z z)) 1)
(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z z))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 (*.f64 z z)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 z z)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z z))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z z))))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (*.f64 y (*.f64 z z))))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (*.f64 y (*.f64 z z)) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))) 1)
(*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1)
(*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))
(*.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(*.f64 (/.f64 1 x) (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))
(*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) 1))
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2) x) (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) 2))) (cbrt.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000)) (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))
(*.f64 (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) -6944444444444388888888888889/1000000000000000000000000000000) x) (-.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 83333333333333/1000000000000000 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000))))
(*.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (-.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000))))) (-.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000))))
(*.f64 (/.f64 (/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (*.f64 z z)) 3)) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (-.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y))))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3) 1/3)
(pow.f64 (/.f64 x (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x))
(neg.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)) 1))
(neg.f64 (*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
Outputs
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(*.f64 y (pow.f64 z 2))
(*.f64 y (*.f64 z z))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(*.f64 (*.f64 z z) (/.f64 y x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(*.f64 (*.f64 z z) (/.f64 y x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(*.f64 (*.f64 z z) (/.f64 y x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 (/.f64 y x) (*.f64 z z))
(*.f64 (*.f64 z z) (/.f64 y x))
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (pow.f64 z 2))) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 (*.f64 y (pow.f64 z 2)) 83333333333333/1000000000000000) x)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 z z)))) 1)
(*.f64 y (*.f64 z z))
(pow.f64 (*.f64 y (*.f64 z z)) 1)
(*.f64 y (*.f64 z z))
(pow.f64 (*.f64 z (sqrt.f64 y)) 2)
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(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000))) 3))) (fma.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (pow.f64 z 4) (*.f64 y y)) (*.f64 (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000))) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (-.f64 (*.f64 y (*.f64 (*.f64 z z) -83333333333333/1000000000000000)) (*.f64 (pow.f64 z 4) (*.f64 y y)))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 (pow.f64 z 4) (*.f64 y y))) (*.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3)))) (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000)) (*.f64 x (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) 3))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 z z)) 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) x) (+.f64 (pow.f64 (*.f64 (pow.f64 z 4) (*.f64 y y)) 3) (pow.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) 3))) (fma.f64 (fma.f64 y (*.f64 z (*.f64 z -83333333333333/1000000000000000)) 6944444444444388888888888889/1000000000000000000000000000000) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 y (*.f64 z z)) (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))))) (*.f64 (pow.f64 z 8) (*.f64 y (pow.f64 y 3)))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 1)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 2)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)) 3)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3) 1/3)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(pow.f64 (/.f64 x (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000)) -1)
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(neg.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(neg.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(neg.f64 (*.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x)) 1))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(neg.f64 (*.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (/.f64 -1 x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(neg.f64 (*.f64 1 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) (neg.f64 x))))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 2))
(fabs.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x) 3))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)))
(+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (fma.f64 y (*.f64 z z) 83333333333333/1000000000000000) x)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
0.3b
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
0.4b
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))
Compiler

Compiled 30 to 18 computations (40% saved)

series7.0ms (0%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))
0.0ms
z
@0
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))
0.0ms
z
@inf
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))

rewrite89.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1546×associate-/l*
1398×associate-*r/
1102×*-commutative
1020×associate-*l/
364×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
124843
2311543
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000) (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -1/2) (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (pow.f64 x -1/2) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify120.0ms (0.7%)

Algorithm
egg-herbie
Rules
1300×associate-/r/
596×associate-/l*
488×associate-*r*
452×associate-*l*
414×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02894967
16894591
238374575
Stop Event
node limit
Counts
187 → 191
Calls
Call 1
Inputs
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
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83333333333333/1000000000000000
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(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 x)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 1 x) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) (pow.f64 x 1/4)) (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 x)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) 1))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (sqrt.f64 x) (pow.f64 x 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)) (/.f64 (pow.f64 x -1/2) (pow.f64 x 1/4)))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (sqrt.f64 x) (pow.f64 x 1/4))) (/.f64 1 (pow.f64 x 1/4)))
(*.f64 (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 x))) (/.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) x) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 x 1/4)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (pow.f64 x 1/4)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (sqrt.f64 x))) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (pow.f64 x 1/4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (pow.f64 x 1/4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (cbrt.f64 x)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)) (sqrt.f64 x)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2) x)))) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) x) (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (/.f64 (pow.f64 x -1/2) (neg.f64 (sqrt.f64 x))) (-.f64 -83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2))) (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 3) 1/3)
(pow.f64 (/.f64 x (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) -1)
(neg.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) 1)
(*.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(*.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(/.f64 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000)) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (*.f64 1 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
Outputs
(*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x))))
(*.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z))
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(+.f64 (*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -13888888888889/5000000000000000 (*.f64 (sqrt.f64 (/.f64 1 x)) z) (*.f64 83333333333333/1000000000000000 (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))
(*.f64 -13888888888889/5000000000000000 (*.f64 z (sqrt.f64 (/.f64 1 x))))
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(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000)) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (fma.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) z -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (*.f64 1 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3))) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(/.f64 (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (fma.f64 (*.f64 z 192901234567904320987654321/25000000000000000000000000000000) z -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) -6944444444444388888888888889/1000000000000000000000000000000) (fma.f64 -13888888888889/5000000000000000 z -83333333333333/1000000000000000))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 -13888888888889/5000000000000000 z) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (*.f64 -13888888888889/5000000000000000 z)) 6944444444444388888888888889/1000000000000000000000000000000) (*.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z)) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) (+.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 1157407407407412037037037037/5000000000000000000000000000000 z))))
(/.f64 (fma.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 z 3) 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000) (fma.f64 1157407407407412037037037037/5000000000000000000000000000000 z (fma.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 z z) 6944444444444388888888888889/1000000000000000000000000000000)))
(pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 1)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 3)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3) 1/3)
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 2))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(log.f64 (exp.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) 3))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(exp.f64 (log.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)

eval1.0s (6%)

Compiler

Compiled 28123 to 16578 computations (41.1% saved)

prune395.0ms (2.3%)

Pruning

51 alts after pruning (45 fresh and 6 done)

PrunedKeptTotal
New89017907
Fresh92837
Picked101
Done167
Total90151952
Error
1.4b
Counts
952 → 51
Alt Table
Click to see full alt table
StatusErrorProgram
43.2b
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
31.0b
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)
43.5b
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
43.5b
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
31.0b
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)
43.3b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
43.3b
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
43.2b
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
43.3b
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
43.2b
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
31.1b
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))
43.3b
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
43.5b
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)
62.3b
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
30.6b
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1)))
43.2b
(/.f64 83333333333333/1000000000000000 x)
62.3b
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
10.5b
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
43.6b
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
30.5b
(-.f64 (*.f64 x (log.f64 x)) x)
43.2b
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
32.2b
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
6.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.4b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
10.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
25.7b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
28.2b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
24.6b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
29.5b
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
10.7b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
31.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
10.5b
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
10.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
27.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
10.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
23.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
43.8b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
13.5b
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.7b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
11.4b
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
43.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
30.6b
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2)))
43.2b
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
62.3b
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
43.2b
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
30.6b
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1))))
30.6b
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
30.5b
(*.f64 x (+.f64 (log.f64 x) -1))
62.3b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
52.2b
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
33.4b
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
Compiler

Compiled 777 to 580 computations (25.4% saved)

regimes874.0ms (5%)

Counts
97 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
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(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
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(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2)))
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x))
(/.f64 x (/.f64 (+.f64 (log.f64 x) 1) (fma.f64 (log.f64 x) (log.f64 x) -1)))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) -1) x) (+.f64 (log.f64 x) 1))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 3)
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 3)) (+.f64 (log.f64 x) (fma.f64 (log.f64 x) (log.f64 x) 1))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (E.f64) (log1p.f64 x))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x))))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))) 1) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

7 calls:

271.0ms
z
137.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
130.0ms
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
122.0ms
x
60.0ms
(+.f64 y 7936500793651/10000000000000000)
Results
ErrorSegmentsBranch
2.5b2x
5.8b1y
2.9b3z
3.1b2(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
3.1b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
3.1b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
5.8b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 1709 to 1044 computations (38.9% saved)

bsearch4.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
3.0ms
2.5009535161634925e+139
6.461738850202048e+140
Results
2.0ms16×body256valid
0.0msbody256infinite
Compiler

Compiled 69 to 52 computations (24.6% saved)

regimes615.0ms (3.5%)

Counts
66 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (*.f64 (*.f64 z z) y) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (log.f64 x) -1))))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (log.f64 x) -1))) 2)
(/.f64 (/.f64 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) 1)))
(*.f64 (/.f64 x (+.f64 (log.f64 x) 1)) (+.f64 -1 (pow.f64 (log.f64 x) 2)))
(+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 2) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (log.f64 x)) x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (log.f64 x)) x)) 3) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

7 calls:

151.0ms
z
149.0ms
x
90.0ms
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
77.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
52.0ms
y
Results
ErrorSegmentsBranch
2.5b2x
5.8b1y
3.0b3z
3.1b2(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
3.1b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
3.1b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
5.8b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 967 to 575 computations (40.5% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
2.5009535161634925e+139
6.461738850202048e+140
Results
10.0ms64×body256valid
0.0msbody256infinite
Compiler

Compiled 185 to 141 computations (23.8% saved)

regimes379.0ms (2.2%)

Counts
40 → 4
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (*.f64 -1157407407407412037037037037/5000000000000000000000000000000 z) 6944444444444388888888888889/1000000000000000000000000000000)))) x)
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
Calls

6 calls:

129.0ms
z
118.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
44.0ms
x
22.0ms
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
21.0ms
y
Results
ErrorSegmentsBranch
3.4b2x
6.7b1y
3.9b3z
2.4b4(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
2.4b4(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
6.7b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 554 to 323 computations (41.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.334303489729413e+299
1.8147898730278337e+307
0.0ms
3.411091036248951e-23
2.939427392244247e-22
0.0ms
-1725781216259639.8
-3.163624457615543e-8
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes397.0ms (2.3%)

Counts
37 → 4
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
Calls

6 calls:

101.0ms
x
101.0ms
z
89.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
41.0ms
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
40.0ms
y
Results
ErrorSegmentsBranch
3.4b2x
6.7b1y
3.9b3z
2.4b4(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
2.4b4(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
6.7b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 485 to 274 computations (43.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.334303489729413e+299
1.8147898730278337e+307
0.0ms
5.4805443065321785e-205
6.532327502069022e-205
0.0ms
-1725781216259639.8
-3.163624457615543e-8
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes371.0ms (2.1%)

Counts
36 → 5
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
Outputs
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

3 calls:

162.0ms
z
123.0ms
x
76.0ms
y
Results
ErrorSegmentsBranch
3.9b3x
6.5b3y
3.0b5z
Compiler

Compiled 433 to 239 computations (44.8% saved)

bsearch222.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
89.0ms
1.8354557959205964e+143
1.4350349726484776e+151
50.0ms
1.138908510774239e-5
718.6270972430087
32.0ms
-2.352701921898751e+21
-19931910843914416.0
51.0ms
-5.842234755580203e+155
-4.451168218479375e+144
Results
124.0ms592×body256valid
88.0ms280×body256infinite
Compiler

Compiled 1403 to 952 computations (32.1% saved)

regimes157.0ms (0.9%)

Counts
29 → 5
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
Outputs
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

3 calls:

66.0ms
z
42.0ms
x
39.0ms
y
Results
ErrorSegmentsBranch
5.5b3x
8.9b2y
4.6b5z
Compiler

Compiled 307 to 178 computations (42% saved)

bsearch188.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
1.8354557959205964e+143
1.4350349726484776e+151
25.0ms
1.138908510774239e-5
718.6270972430087
35.0ms
-1.0097095039314777e-15
-8.960470960724163e-16
55.0ms
-5.842234755580203e+155
-4.451168218479375e+144
Results
133.0ms480×body256valid
47.0ms269×body256infinite
Compiler

Compiled 1101 to 781 computations (29.1% saved)

regimes180.0ms (1%)

Counts
26 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z)))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

3 calls:

92.0ms
x
42.0ms
z
38.0ms
y
Results
ErrorSegmentsBranch
7.6b3x
8.9b2y
8.8b3z
Compiler

Compiled 259 to 162 computations (37.5% saved)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
1.6154133261227583e+182
4.511225855008564e+184
15.0ms
314848498332.9459
825274862197.7295
Results
23.0ms144×body256valid
1.0msbody256infinite
Compiler

Compiled 325 to 226 computations (30.5% saved)

regimes91.0ms (0.5%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

43.0ms
x
30.0ms
z
12.0ms
y
Results
ErrorSegmentsBranch
10.5b1x
10.5b1y
10.5b1z
Compiler

Compiled 215 to 145 computations (32.6% saved)

regimes71.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (/.f64 1 (/.f64 1 (fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000))) x)
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))
Outputs
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

41.0ms
x
11.0ms
y
11.0ms
z
Results
ErrorSegmentsBranch
11.4b1x
11.4b1y
11.4b1z
Compiler

Compiled 201 to 136 computations (32.3% saved)

regimes147.0ms (0.8%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

3 calls:

97.0ms
z
26.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
11.1b2x
29.4b3y
25.8b7z
Compiler

Compiled 155 to 108 computations (30.3% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
505.2873250891702
1236.0055880401685
Results
12.0ms80×body256valid
1.0ms10×body256infinite
Compiler

Compiled 153 to 125 computations (18.3% saved)

regimes170.0ms (1%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
Outputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(*.f64 x (+.f64 (log.f64 x) -1))
Calls

3 calls:

125.0ms
z
24.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
11.4b2x
29.4b3y
26.0b7z
Compiler

Compiled 145 to 101 computations (30.3% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
505.2873250891702
1236.0055880401685
Results
13.0ms80×body256valid
3.0msbody256infinite
Compiler

Compiled 128 to 105 computations (18% saved)

regimes31.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
Outputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
Calls

3 calls:

10.0ms
z
8.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
43.2b1x
43.2b1y
43.2b1z
Compiler

Compiled 133 to 95 computations (28.6% saved)

regimes28.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(-.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)
(*.f64 (/.f64 -1 x) (+.f64 -83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (/.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 z (*.f64 z 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 83333333333333/1000000000000000 (*.f64 z 13888888888889/5000000000000000))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000)) x)
(/.f64 (*.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (*.f64 z z) 192901234567904320987654321/25000000000000000000000000000000)) (/.f64 1 (+.f64 83333333333333/1000000000000000 (*.f64 13888888888889/5000000000000000 z)))) x)
Outputs
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
Calls

3 calls:

9.0ms
z
8.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
43.2b1x
43.2b1y
43.2b1z
Compiler

Compiled 122 to 87 computations (28.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -19.2b remaining (-44.5%)

Threshold costs -19.2b (-44.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
Outputs
(/.f64 83333333333333/1000000000000000 x)
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
43.2b1x
43.2b1y
43.2b1z
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
56×+-commutative
30×*-commutative
12×sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291592
11771592
21821592
31841592
41851592
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 4253529586511731/85070591730234615865843651857942052864) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)))))
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -1000000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3388816750449861/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)))))
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -20000000000000000) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 21/2) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 (*.f64 y (*.f64 z z)) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1))))))
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1))))))
(if (<=.f64 x 620000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 x 5000000000000000086783342084845643467613376308747652806184221615609263692738120562462065350159422529699348815841086237667836300331874146296123705395840026921093256846344688312059428864) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 y x) (*.f64 z z))) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(if (<=.f64 x 510) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 510) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (*.f64 x (+.f64 (log.f64 x) -1)))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 83333333333333/1000000000000000 x)
Outputs
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(if (<=.f64 x 50000000000000002964190062040743501853181244383522664432425037241499788914236990326011648254009062284575896118646691474114848581757291200512) (+.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x)) (*.f64 x (+.f64 (log.f64 x) -1)))
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(if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) -1000000000000000) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 y (/.f64 x (*.f64 z z)))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 4253529586511731/85070591730234615865843651857942052864) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (if (<=.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160) (+.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x) (-.f64 (*.f64 x (log.f64 x)) x)) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x)))))
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(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z -13888888888889/5000000000000000)) x)) (if (<=.f64 z -20000000000000000) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (if (<=.f64 z 21/2) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 y (*.f64 z z))) x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 (*.f64 z z) x))) (*.f64 x (+.f64 (log.f64 x) -1))))))
(if (<=.f64 z -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x)) (if (<=.f64 z -2535301200456459/2535301200456458802993406410752) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 z 8854437155380585/147573952589676412928) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13999999999999999368278984266319798993361776252422195926455626998498371430106400571348531703928134464382303486844681295786677649503828688507966414913536) (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (*.f64 x (+.f64 (log.f64 x) -1))))))
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(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(if (<=.f64 x 510) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 510) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 x 510) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) (*.f64 x (+.f64 (log.f64 x) -1)))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 606 to 396 computations (34.7% saved)

soundness428.0ms (2.5%)

Algorithm
egg-herbie
Rules
1570×fma-def
1446×unswap-sqr
1398×associate-+l-
1398×associate-+l-
1364×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046410494
111449342
246549340
046410494
111449342
246549340
02363
14663
210261
324359
463659
5165059
6344859
7552559
8718859
03125933
17915517
230034923
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 866 to 594 computations (31.4% saved)

end206.0ms (1.2%)

Compiler

Compiled 567 to 329 computations (42% saved)

Profiling

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