Details

Time bar (total: 27.3s)

analyze316.0ms (1.2%)

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)

sample2.9s (10.6%)

Results
2.0s8256×body256valid
487.0ms1939×body256infinite
398.0ms1469×body256invalid
Bogosity

preprocess68.0ms (0.2%)

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)

simplify79.0ms (0.3%)

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New246
Fresh011
Picked000
Done000
Total257
Error
5.0b
Counts
7 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
5.0b
(+.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))
5.1b
(+.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))
5.1b
(+.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))
5.0b
(+.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)))
Compiler

Compiled 100 to 72 computations (28% saved)

localize63.0ms (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)
0.1b
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
4.7b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 92 to 57 computations (38% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@0
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
2.0ms
x
@-inf
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
2.0ms
y
@-inf
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms
x
@inf
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
1.0ms
x
@0
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite100.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1594×associate-*r/
1294×associate-*l/
392×add-sqr-sqrt
374×pow1
374×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01886
138486
2475086
Stop Event
node limit
Counts
4 → 128
Calls
Call 1
Inputs
(/.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)
(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 (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 (pow.f64 (cbrt.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 (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -13888888888889/5000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 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-13888888888889/5000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))))

simplify129.0ms (0.5%)

Algorithm
egg-herbie
Rules
1304×associate-*r/
1044×associate-*l/
872×associate-/r*
550×associate-*r*
508×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03587488
18746956
237706520
Stop Event
node limit
Counts
224 → 242
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 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
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(/.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 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 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 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z)))
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(+.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 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (*.f64 z z) (*.f64 (/.f64 -13888888888889/5000000000000000 x) z)))
(/.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 z (+.f64 y 7936500793651/10000000000000000)) x) z)
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(+.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000))))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
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(/.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 z (+.f64 y 7936500793651/10000000000000000)) x) z)
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 y 7936500793651/10000000000000000)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
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(/.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 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.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 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.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))))
(+.f64 (*.f64 (/.f64 y x) (*.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 y x) (*.f64 z z))))
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(*.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 y 7936500793651/10000000000000000) -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 y 7936500793651/10000000000000000) -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 y 7936500793651/10000000000000000) -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 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.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 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.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 (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.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 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.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 (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 (*.f64 z z) (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))
(/.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) -192901234567904320987654321/25000000000000000000000000000000) (fma.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))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (fma.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (-.f64 (fma.f64 z (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (+.f64 y 7936500793651/10000000000000000)) z) 192901234567904320987654321/25000000000000000000000000000000) (*.f64 (*.f64 -13888888888889/5000000000000000 z) (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000))))
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3)
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 2))
(fabs.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
4.7b
(/.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)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite132.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1602×associate-*r/
1352×associate-*l/
1060×distribute-lft-in
302×associate-/r*
262×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01169
125069
2335969
Stop Event
node limit
Counts
3 → 282
Calls
Call 1
Inputs
(*.f64 (+.f64 x -1/2) (log.f64 x))
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 x) x)) (*.f64 1 (*.f64 (log.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) 0) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 x) -1/2)) (*.f64 1 (*.f64 (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 -1/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/2 (log.f64 x))) (*.f64 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (neg.f64 (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (neg.f64 (+.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (fma.f64 x x -1/4) (log.f64 x))) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify240.0ms (0.9%)

Algorithm
egg-herbie
Rules
968×associate-/l*
688×associate-*r*
630×distribute-lft-in
598×associate-*l*
580×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074720564
1202619000
Stop Event
node limit
Counts
318 → 462
Calls
Call 1
Inputs
(*.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 -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 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))
(+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))
(+.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))
(+.f64 (*.f64 1 (*.f64 (log.f64 x) x)) (*.f64 1 (*.f64 (log.f64 x) -1/2)))
(+.f64 (*.f64 (+.f64 x -1/2) 0) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))
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(/.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) 1) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) 1) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (*.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 8444480278083503881401098089/10000000000000000000000000000))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 3) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) (+.f64 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) 8444480278083503881401098089/10000000000000000000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))
(/.f64 (*.f64 (+.f64 467281046507217806034264751695811126233618503392209547027430905113362508381562101393972133232107032425973263562534889855762547/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (+.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (-.f64 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) 1) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.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))) 91893853320467/100000000000000)
(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 (+.f64 x -91893853320467/100000000000000)))
(fma.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))) 91893853320467/100000000000000)
Outputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (log.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (log.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 x (log.f64 x)) (neg.f64 (*.f64 1/2 (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 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 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))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 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))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 x))
(*.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)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 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)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 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)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.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 (+.f64 (log.f64 x) -1) x (neg.f64 (*.f64 1/2 (log.f64 x))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
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(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 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 (+.f64 x -91893853320467/100000000000000)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 2) (-.f64 91893853320467/100000000000000 x))
(fma.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))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 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 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(fma.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))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))

localize79.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
4.7b
(/.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)
1.0ms
y
@0
(/.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
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)

rewrite157.0ms (0.6%)

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 x 1/2) (log.f64 x)) x)
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
Outputs
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(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 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83333333333333/1000000000000000)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.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 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) 1) (/.f64 (cbrt.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 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 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simplify184.0ms (0.7%)

Algorithm
egg-herbie
Rules
1402×associate-+l-
1368×associate-+r-
872×associate--r+
682×associate--l+
632×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046410494
111439342
246569340
Stop Event
node limit
Counts
242 → 327
Calls
Call 1
Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
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(+.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)
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(*.f64 -1/2 (log.f64 x))
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(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
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(+.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 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x))
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(/.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))
(-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (+.f64 91893853320467/100000000000000 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (neg.f64 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000)
(-.f64 (exp.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.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 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)))) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) 1)
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.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 (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 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) 0) x)
(*.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(*.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)))
(/.f64 1 (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (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 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (*.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (*.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.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))) 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.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))) 91893853320467/100000000000000)
(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 (+.f64 x -91893853320467/100000000000000)))
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 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.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 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.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 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(+.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 (/.f64 y (/.f64 x (*.f64 z z))) (/.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 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z) (+.f64 (/.f64 (*.f64 z z) (/.f64 x y)) (/.f64 83333333333333/1000000000000000 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)))
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(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (+.f64 (-.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 x -1/2))) x))
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (+.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (neg.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3))) (+.f64 -8444480278083503881401098089/10000000000000000000000000000 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) (*.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))))))
(/.f64 (-.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3)) (-.f64 -8444480278083503881401098089/10000000000000000000000000000 (*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (-.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 91893853320467/100000000000000))))
(/.f64 (-.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 3)) (-.f64 -8444480278083503881401098089/10000000000000000000000000000 (*.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) -91893853320467/100000000000000))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2))
(sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)) 2))
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x)))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.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))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 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 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.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))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 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 (+.f64 x -91893853320467/100000000000000)))
(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))) (-.f64 91893853320467/100000000000000 x))

localize35.0ms (0.1%)

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))
4.7b
(/.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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 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
x
@inf
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))

rewrite115.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
986×*-commutative
790×associate-*r/
688×unswap-sqr
662×associate-*l/
560×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
123625
2292625
Stop Event
node limit
Counts
1 → 45
Calls
Call 1
Inputs
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
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 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(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 (*.f64 (+.f64 x -1/2) (log.f64 x)) (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 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) (neg.f64 x))))) (#(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 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.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 (+.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 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 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))))

simplify109.0ms (0.4%)

Algorithm
egg-herbie
Rules
1194×distribute-lft-in
1124×distribute-rgt-in
968×associate--l+
962×associate-+l-
858×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01572865
14182701
214652271
360882271
Stop Event
node limit
Counts
57 → 78
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)
(+.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 91893853320467/100000000000000 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))
(+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)) 91893853320467/100000000000000)
(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (*.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 x))
(+.f64 (*.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1) (neg.f64 x))
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (+.f64 x -1/2) (log.f64 x))))
(-.f64 (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x))) (-.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) 1)
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 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))))
(-.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))))
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (exp.f64 (log.f64 (-.f64 191893853320467/100000000000000 x)))) 1)
(-.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)))
(-.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)))))
(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)
(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(*.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 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))
(*.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 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))
(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2))) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 91893853320467/100000000000000 x) (-.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (+.f64 x -1/2) (log.f64 x))))))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
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 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
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eval881.0ms (3.2%)

Compiler

Compiled 45683 to 29224 computations (36% saved)

prune528.0ms (1.9%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New1330341364
Fresh000
Picked101
Done303
Total1334341368
Error
0.1b
Counts
1368 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
19.6b
(+.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))
5.5b
(+.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))
23.5b
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.1b
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.4b
(+.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))
5.6b
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) 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))
26.7b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.2b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
5.1b
(+.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))
5.1b
(+.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))
7.7b
(+.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))
5.5b
(+.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))
7.8b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x))
28.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
27.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
4.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))
4.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
8.9b
(+.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))))
24.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
7.6b
(+.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)))
5.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
5.2b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
5.5b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
21.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
28.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x))))
5.2b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
5.9b
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
36.8b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
23.5b
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (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))
4.9b
(+.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) (expm1.f64 (log1p.f64 x)))))
8.8b
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
Compiler

Compiled 1904 to 1392 computations (26.9% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
0.5b
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
5.3b
(/.f64 y (/.f64 x (*.f64 z z)))
7.4b
(/.f64 x (*.f64 z z))
Compiler

Compiled 136 to 67 computations (50.7% saved)

series13.0ms (0%)

Counts
4 → 84
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@0
(/.f64 y (/.f64 x (*.f64 z z)))
2.0ms
x
@0
(/.f64 x (*.f64 z z))
1.0ms
x
@0
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
0.0ms
z
@0
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
0.0ms
x
@inf
(/.f64 x (*.f64 z z))

rewrite109.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1550×associate-/r/
1078×associate-/l/
368×distribute-lft-in
358×add-sqr-sqrt
342×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01660
135460
2488760
Stop Event
node limit
Counts
4 → 257
Calls
Call 1
Inputs
(/.f64 x (*.f64 z z))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
(/.f64 83333333333333/1000000000000000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (/.f64 (sqrt.f64 (/.f64 x z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4))) (cbrt.f64 (*.f64 x (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 x (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (*.f64 (sqrt.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (*.f64 (cbrt.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 1 z) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z (neg.f64 z))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 z z)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 x (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) z) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 x (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 x)) (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 z z) (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4))))) (cbrt.f64 (*.f64 x (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 z z)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) z) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 z -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 z -2)))))))) 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simplify126.0ms (0.5%)

Algorithm
egg-herbie
Rules
1026×associate-*r*
926×*-commutative
782×associate-/l*
778×associate-*l*
748×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06157315
117737179
274867179
Stop Event
node limit
Counts
341 → 338
Calls
Call 1
Inputs
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x) (*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 1) z))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 1) (*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x) z) (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (cbrt.f64 (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) x) (*.f64 (/.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 1) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) (sqrt.f64 (/.f64 x z))) (/.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (sqrt.f64 (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) -1) (neg.f64 (/.f64 z x)))
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 z)))
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x 1)) z)
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) z))) (sqrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) z))) (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 2) (/.f64 x z)) (cbrt.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) 1) z)
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) 1) (/.f64 z 1))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) -1) (neg.f64 z))
(*.f64 (/.f64 (-.f64 13888888888889/5000000000000000 (*.f64 z 7936500793651/10000000000000000)) -1) (/.f64 z x))
(*.f64 (/.f64 (-.f64 13888888888889/5000000000000000 (*.f64 z 7936500793651/10000000000000000)) (neg.f64 (neg.f64 x))) (neg.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) 1) (/.f64 z x))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (neg.f64 x)) (neg.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (/.f64 x 1)) z)
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) -1) (neg.f64 (/.f64 z x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z)))
(pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) z)) -1)
(neg.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (neg.f64 x)) z))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (/.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(-.f64 (exp.f64 (log1p.f64 (/.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)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) -83333333333333/1000000000000000)
(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 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 2))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
Outputs
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
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(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
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(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
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(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
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(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
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(/.f64 x (*.f64 z z))
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(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
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(pow.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3) 1/3)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(pow.f64 (/.f64 x (*.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) z)) -1)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(neg.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (neg.f64 x)) z))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 2))
(fabs.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (/.f64 z x)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 1))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(-.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) -83333333333333/1000000000000000)
(/.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 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(/.f64 83333333333333/1000000000000000 x)
(sqrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 2))
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 83333333333333/1000000000000000 x)
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))
(/.f64 83333333333333/1000000000000000 x)
(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 83333333333333/1000000000000000 x)) 1))
(/.f64 83333333333333/1000000000000000 x)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.2b
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
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)

localize33.0ms (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 x 1/2) (log.f64 x))
0.2b
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.4b
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
Compiler

Compiled 88 to 54 computations (38.6% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite77.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1178×associate-*r/
956×associate-/r*
930×*-commutative
784×associate-*l/
632×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
122720
2265920
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (/.f64 (neg.f64 x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 x (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 13888888888889/5000000000000000 (/.f64 x 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simplify302.0ms (1.1%)

Algorithm
egg-herbie
Rules
1080×*-commutative
1034×associate--r+
840×associate-/l*
758×associate--l+
618×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03592736
18342718
233612670
368382670
Stop Event
node limit
Counts
152 → 217
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 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 1 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 83333333333333/1000000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) (cbrt.f64 x))
(/.f64 (/.f64 -83333333333333/1000000000000000 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -83333333333333/1000000000000000 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -83333333333333/1000000000000000 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 -83333333333333/1000000000000000 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 -83333333333333/1000000000000000 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.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)
(sqrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 2))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 1)
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 z (/.f64 x -13888888888889/5000000000000000))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(/.f64 (neg.f64 z) (/.f64 (neg.f64 x) -13888888888889/5000000000000000))
(/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 x (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 13888888888889/5000000000000000 (/.f64 x (neg.f64 z)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z))) (/.f64 x (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z))))
(/.f64 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z)))
(/.f64 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (*.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 x) (/.f64 1 z))
(/.f64 (*.f64 z 13888888888889/5000000000000000) (neg.f64 x))
(/.f64 (/.f64 z -5000000000000000/13888888888889) x)
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (cbrt.f64 x))
(/.f64 (*.f64 1 (/.f64 z -5000000000000000/13888888888889)) x)
(/.f64 (*.f64 1 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 1 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z))) (cbrt.f64 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z 1)) x)
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (pow.f64 x -1/2)) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) -1) (neg.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x))) 1) (sqrt.f64 (/.f64 x z)))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x))) (sqrt.f64 z)) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) 1) (cbrt.f64 (/.f64 x z)))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 z)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) z) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 x) 2)) z) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 z 1) -13888888888889/5000000000000000) x)
(/.f64 (*.f64 (/.f64 z (sqrt.f64 x)) -13888888888889/5000000000000000) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) -13888888888889/5000000000000000) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 z 13888888888889/5000000000000000) 1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 z -5000000000000000/13888888888889) 1) x)
(/.f64 (*.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) 1) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (sqrt.f64 x))
(/.f64 (*.f64 1 (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x)))) (sqrt.f64 (/.f64 x z)))
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x)))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (*.f64 -13888888888889/5000000000000000 (sqrt.f64 (/.f64 z x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)) (cbrt.f64 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 -13888888888889/5000000000000000 (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))) (cbrt.f64 (/.f64 x z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 1 (sqrt.f64 z))) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) z))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) z))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z))) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) -1) x)
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 z -5000000000000000/13888888888889) 1) x)
(/.f64 (/.f64 (/.f64 z -5000000000000000/13888888888889) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.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)
(neg.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 z (neg.f64 x)) -13888888888889/5000000000000000))
(neg.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (neg.f64 x))))
(sqrt.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 z x) 2)))
(log.f64 (pow.f64 (exp.f64 -13888888888889/5000000000000000) (/.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(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))))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z 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 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 1 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 1 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 83333333333333/1000000000000000)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000)))
(*.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 83333333333333/1000000000000000)))
(*.f64 (/.f64 (cbrt.f64 83333333333333/1000000000000000) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (cbrt.f64 83333333333333/1000000000000000) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1))
(*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 (/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))
(/.f64 (*.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 83333333333333/1000000000000000 (cbrt.f64 (pow.f64 x -2))) (/.f64 (cbrt.f64 (neg.f64 x)) -1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) -83333333333333/1000000000000000) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1))
(*.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000)))
(*.f64 (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 83333333333333/1000000000000000) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 83333333333333/1000000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 83333333333333/1000000000000000)))
(*.f64 (/.f64 (cbrt.f64 83333333333333/1000000000000000) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (cbrt.f64 83333333333333/1000000000000000) (cbrt.f64 x)))
(/.f64 (/.f64 -83333333333333/1000000000000000 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 -83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 -83333333333333/1000000000000000 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 -83333333333333/1000000000000000 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 -83333333333333/1000000000000000 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 -83333333333333/1000000000000000 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 83333333333333/1000000000000000 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
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(/.f64 -13888888888889/5000000000000000 (/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) z))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z))) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 (/.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sqrt.f64 z))))
(/.f64 (/.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))
(/.f64 -13888888888889/5000000000000000 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (cbrt.f64 z) (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(/.f64 -13888888888889/5000000000000000 (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) 3))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) 1) (neg.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) -1) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (*.f64 z 13888888888889/5000000000000000) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 z -5000000000000000/13888888888889) 1) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 z -5000000000000000/13888888888889) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 z (cbrt.f64 x)) (/.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 z (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x))))
(/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (/.f64 z (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) 1) (cbrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 (/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (/.f64 (pow.f64 (cbrt.f64 x) 2) z)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 -13888888888889/5000000000000000 (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) z))))
(*.f64 (/.f64 z (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 -13888888888889/5000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(neg.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (neg.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(neg.f64 (*.f64 (/.f64 z (neg.f64 x)) -13888888888889/5000000000000000))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(neg.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z (neg.f64 x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(sqrt.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 z x) 2)))
(fabs.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(log.f64 (pow.f64 (exp.f64 -13888888888889/5000000000000000) (/.f64 z x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 x -1/2) (log.f64 x))
0.5b
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
4.7b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 138 to 93 computations (32.6% saved)

series6.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
0.0ms
x
@-inf
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))

rewrite116.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
830×*-commutative
722×unswap-sqr
510×swap-sqr
508×associate-*r/
446×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
123238
2256838
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 (*.f64 x x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 -1/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/2 (log.f64 x))) (*.f64 1 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))))))

simplify151.0ms (0.6%)

Algorithm
egg-herbie
Rules
1736×associate-/r*
1268×associate-/r/
986×associate-*r*
896×associate-*l*
654×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04978509
114697033
254027033
Stop Event
node limit
Counts
155 → 251
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3))) (+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2)))))))
(+.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) -1)
(+.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (*.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))
(+.f64 (*.f64 (+.f64 x -1/2) 0) (log.f64 (pow.f64 x (+.f64 x -1/2))))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 (*.f64 x x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
(+.f64 (*.f64 1 (*.f64 x (log.f64 x))) (*.f64 1 (*.f64 -1/2 (log.f64 x))))
(+.f64 (*.f64 1 (*.f64 -1/2 (log.f64 x))) (*.f64 1 (*.f64 x (log.f64 x))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (*.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))
(+.f64 (*.f64 0 (+.f64 x -1/2)) (log.f64 (pow.f64 x (+.f64 x -1/2))))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (+.f64 x -1/2)) (*.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 -1/2 (log.f64 x)) 1))
(+.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 1) (*.f64 (*.f64 x (log.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 1)
(*.f64 (+.f64 x -1/2) (log.f64 x))
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(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 3/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (cbrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 x -1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 x -1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (cbrt.f64 (log.f64 x))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1/4)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) 1))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1)
(pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2/3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1)))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9)))) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (+.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) 1/9)) (*.f64 x x) (*.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9)))) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9)) (fma.f64 -2/27 (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (+.f64 (*.f64 -1/3 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7)))))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (+.f64 (*.f64 4/27 (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x)))) (/.f64 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))))) (cbrt.f64 -1/2)))))))) (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (+.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))) (fma.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 (log.f64 x)) (fma.f64 4/27 (pow.f64 (log.f64 x) 2) (*.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (cbrt.f64 -1/2)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x))))))))))) (pow.f64 x 3) (*.f64 x (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)))
(fma.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))) x) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2))))))
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(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 -1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 x -1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 x -1/2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 -1/2 x)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 x -1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (cbrt.f64 (log.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (cbrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (cbrt.f64 (log.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (cbrt.f64 (log.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1/4)) (cbrt.f64 (+.f64 x 1/2))) (cbrt.f64 (log.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (cbrt.f64 (log.f64 x))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (cbrt.f64 (log.f64 x)) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/8)) (cbrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (cbrt.f64 (log.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1/4)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (cbrt.f64 (log.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 x x -1/4)) (cbrt.f64 (+.f64 x 1/2))) (cbrt.f64 (log.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))))) (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))))))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 1)
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/3)
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2/3)
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 1/6) (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 1/6) (pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))))
(pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1/6) 2)
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 3)
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 2))
(fabs.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))))
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))))
(cbrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 x 1/2) (log.f64 x))
0.5b
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
0.7b
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
4.7b
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
Compiler

Compiled 121 to 79 computations (34.7% saved)

series17.0ms (0.1%)

Counts
2 → 16
Calls

18 calls:

TimeVariablePointExpression
5.0ms
z
@0
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
3.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
1.0ms
z
@0
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
1.0ms
y
@0
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

rewrite224.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1292×associate-*r/
1070×associate-*l/
730×associate-/r*
600×distribute-lft-in
552×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
136362
2414862
Stop Event
node limit
Counts
2 → 211
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))))) (#(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 (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 (/.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 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (*.f64 (cbrt.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 (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 (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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1) (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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6)) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z 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simplify155.0ms (0.6%)

Algorithm
egg-herbie
Rules
1324×associate-*r*
1032×associate-/l*
976×associate-*l*
794×*-commutative
792×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070716429
1195815689
Stop Event
node limit
Counts
227 → 329
Calls
Call 1
Inputs
(*.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 x)))
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(/.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (/.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(/.f64 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (cbrt.f64 x))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1)
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
Outputs
(*.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 x))) (*.f64 (+.f64 (*.f64 -13888888888889/7500000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3))) (*.f64 -13888888888889/15000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3)))) z))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4))) -13888888888889/5000000000000000) z))
(fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4)) -13888888888889/5000000000000000)) z (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 192901234567904320987654321/112500000000000000000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (*.f64 192901234567904320987654321/75000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3)))))) (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (/.f64 (-.f64 (+.f64 (*.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (*.f64 192901234567904320987654321/75000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3)))) (cbrt.f64 83333333333333/1000000000000000)))) (*.f64 192901234567904320987654321/225000000000000000000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4)) 1/3)))) (cbrt.f64 83333333333333/1000000000000000)) (pow.f64 (/.f64 1 x) 1/3))))) (+.f64 (*.f64 83333333333333/1000000000000000 (*.f64 (pow.f64 1 1/3) (/.f64 1 x))) (*.f64 (+.f64 (*.f64 -13888888888889/7500000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3))) (*.f64 -13888888888889/15000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3)))) z)))
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(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 1 (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (/.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (cbrt.f64 x))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/3)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) 2)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(fabs.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1/3))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

eval1.6s (5.7%)

Compiler

Compiled 67624 to 44384 computations (34.4% saved)

prune927.0ms (3.4%)

Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New1859301889
Fresh21829
Picked101
Done404
Total1885381923
Error
0.0b
Counts
1923 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
9.2b
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
9.4b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 83333333333333/1000000000000000 x))
30.0b
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 83333333333333/1000000000000000 x))
8.9b
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
9.3b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
9.4b
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
23.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
26.8b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.2b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
9.0b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
9.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
9.2b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
28.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
27.5b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
9.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
4.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
4.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
7.7b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
3.6b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
24.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
21.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
28.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 y x) (*.f64 z z)))
5.2b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
30.3b
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
30.1b
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
9.8b
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.2b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
9.7b
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
36.8b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
43.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
30.1b
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
8.8b
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
Compiler

Compiled 1884 to 1396 computations (25.9% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
0.5b
(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
1.6b
(*.f64 (*.f64 (/.f64 y x) z) z)
4.6b
(*.f64 (/.f64 y x) z)
Compiler

Compiled 136 to 67 computations (50.7% saved)

series5.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (/.f64 y x) z)
1.0ms
y
@0
(*.f64 (/.f64 y x) z)
0.0ms
z
@0
(*.f64 (/.f64 y x) z)
0.0ms
x
@-inf
(*.f64 (/.f64 y x) z)
0.0ms
y
@-inf
(*.f64 (/.f64 y x) z)

rewrite59.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1788×add-sqr-sqrt
1776×*-un-lft-identity
1648×add-cube-cbrt
1618×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116632
2220432
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 y x) z)
(*.f64 (*.f64 (/.f64 y x) z) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 z z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 y x)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z z) (/.f64 x y))))))))

simplify75.0ms (0.3%)

Algorithm
egg-herbie
Rules
1740×associate-+l+
1646×associate-+r+
836×associate-*r/
588×associate-*l/
502×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011793
12321793
29301793
349231793
Stop Event
node limit
Counts
113 → 45
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) z))) 1)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(/.f64 1 (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 z (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y z) 1) x)
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 y x) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x y)))) 1)
(/.f64 (*.f64 z z) (/.f64 x y))
(/.f64 (*.f64 z (*.f64 y z)) x)
(/.f64 (*.f64 y (*.f64 z z)) x)
(/.f64 (*.f64 (neg.f64 y) (*.f64 z z)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 y z) z) x)
(pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 y x)) z) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (*.f64 z z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z z) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 z z) (/.f64 x y))))
Outputs
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
(*.f64 z (/.f64 y x))
(/.f64 (*.f64 y z) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
(/.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 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(*.f64 y (/.f64 (*.f64 z z) x))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) z))) 1)
(*.f64 z (/.f64 y x))
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(*.f64 z (/.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y z)))
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(/.f64 (*.f64 y z) x)
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(*.f64 z (/.f64 y x))
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 z (/.f64 y x))
(/.f64 (/.f64 (*.f64 y z) 1) x)
(*.f64 z (/.f64 y x))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 z (/.f64 y x))
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))
(*.f64 z (/.f64 y x))
(pow.f64 (*.f64 (/.f64 y x) z) 1)
(*.f64 z (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) z)) 2)
(*.f64 z (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 3)
(*.f64 z (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3) 1/3)
(*.f64 z (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 2))
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(*.f64 z (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3))
(*.f64 z (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) z)))
(*.f64 z (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) z)))
(*.f64 z (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) z)) 1))
(*.f64 z (/.f64 y x))
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(pow.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 3) 1/3)
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(sqrt.f64 (pow.f64 (/.f64 (*.f64 z z) (/.f64 x y)) 2))
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(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(exp.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))))
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z z) (/.f64 x y))) 1))
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 z z) (/.f64 x y))))
(/.f64 y (/.f64 x (*.f64 z z)))
(*.f64 y (/.f64 (*.f64 z z) x))

localize53.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
0.4b
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
Compiler

Compiled 32 to 22 computations (31.3% saved)

series36.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
22.0ms
x
@0
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
7.0ms
x
@-inf
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
7.0ms
x
@inf
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
0.0ms
x
@0
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
0.0ms
x
@-inf
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

rewrite151.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
988×distribute-rgt-in
962×distribute-lft-in
616×associate-/r*
324×associate-/r/
288×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
126838
2354238
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
Outputs
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simplify254.0ms (0.9%)

Algorithm
egg-herbie
Rules
1134×+-commutative
924×associate-+l+
918×associate-+r+
708×associate-*r*
536×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049911239
1145310519
2603610519
Stop Event
node limit
Counts
181 → 262
Calls
Call 1
Inputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 83333333333333/1000000000000000 x)
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(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) 1)
(*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1)
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(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) 602169531346217366937711353831168079460590887962068259526245043642832633622560478969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) (pow.f64 (*.f64 -1/2 (log.f64 x)) 2)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (*.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2))))
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(/.f64 (/.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (*.f64 x (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) x) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))
(/.f64 (/.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 x (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) x) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))
(/.f64 (/.f64 (+.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (*.f64 (*.f64 x 1000000000000000/83333333333333) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (*.f64 x 1000000000000000/83333333333333)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))
(/.f64 (/.f64 (+.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))) (*.f64 (*.f64 x 1000000000000000/83333333333333) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) (*.f64 x 1000000000000000/83333333333333)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))
(/.f64 (/.f64 (+.f64 (*.f64 -83333333333333/1000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (*.f64 (neg.f64 x) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))) (neg.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))
(/.f64 (/.f64 (+.f64 (*.f64 -83333333333333/1000000000000000 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))) (*.f64 (neg.f64 x) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)))) (neg.f64 x)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))
(pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2))
(log.f64 (*.f64 (pow.f64 x -1/2) (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (log.f64 x) -1/2 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 1 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (neg.f64 (log.f64 x))))
(fma.f64 1/2 (neg.f64 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 1/2 (neg.f64 (log.f64 x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) 8106146679533/100000000000000)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) -8106146679533/100000000000000)
(+.f64 91893853320467/100000000000000 (expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) 1/4)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) 1/4 (/.f64 -8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x))))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))) -8106146679533/100000000000000)
(+.f64 91893853320467/100000000000000 (expm1.f64 (log1p.f64 (*.f64 -1/2 (log.f64 x)))))
(*.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/4) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (*.f64 -1/2 (log.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))
(*.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (*.f64 -1/8 (pow.f64 (log.f64 x) 3))) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (*.f64 -1/2 (log.f64 x)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (fma.f64 -1/2 (*.f64 (log.f64 x) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) 8444480278083503881401098089/10000000000000000000000000000))
(*.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000))
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/4) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))
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(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 3)
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3) 1/3)
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2))
(fabs.f64 (+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(log.f64 (*.f64 (pow.f64 x -1/2) (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))) 1))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (log.f64 x) -1/2 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 (*.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.1b
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
0.4b
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
4.7b
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
Compiler

Compiled 91 to 62 computations (31.9% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1010×associate-*r/
990×*-commutative
794×associate-*l/
768×unswap-sqr
586×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
122534
2287334
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 y z)) (*.f64 1 (*.f64 7936500793651/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 7936500793651/10000000000000000 z)) (*.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 7936500793651/10000000000000000 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) 1) (*.f64 (*.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 1 (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y y 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (*.f64 z (sqrt.f64 (+.f64 y 7936500793651/10000000000000000)))) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) 1) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000))) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (*.f64 (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)) (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)))) (cbrt.f64 (+.f64 y 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((x log.f64 (pow.f64 (exp.f64 (+.f64 y 7936500793651/10000000000000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) (*.f64 z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z -13888888888889/5000000000000000) (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 1) (*.f64 (*.f64 z -13888888888889/5000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) (*.f64 1 (*.f64 z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change 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simplify106.0ms (0.4%)

Algorithm
egg-herbie
Rules
1642×associate-/l*
1376×distribute-lft-in
1316×distribute-rgt-in
1038×*-commutative
860×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02744710
17314582
228034302
Stop Event
node limit
Counts
136 → 155
Calls
Call 1
Inputs
(*.f64 7936500793651/10000000000000000 z)
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.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))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))
(+.f64 (*.f64 7936500793651/10000000000000000 z) (*.f64 y z))
(+.f64 (*.f64 1 (*.f64 y z)) (*.f64 1 (*.f64 7936500793651/10000000000000000 z)))
(+.f64 (*.f64 1 (*.f64 7936500793651/10000000000000000 z)) (*.f64 1 (*.f64 y z)))
(+.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 7936500793651/10000000000000000 z) 1))
(+.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) 1) (*.f64 (*.f64 y z) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1)
(/.f64 z (/.f64 1 (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (+.f64 y -7936500793651/10000000000000000) z))
(/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (/.f64 (+.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y (+.f64 y -7936500793651/10000000000000000))) z))
(/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (+.f64 y -7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y (+.f64 y -7936500793651/10000000000000000))))
(/.f64 (*.f64 z (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y y))) (-.f64 7936500793651/10000000000000000 y))
(/.f64 (*.f64 z (neg.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000))) (+.f64 (neg.f64 y) 7936500793651/10000000000000000))
(/.f64 (*.f64 z (+.f64 -499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (neg.f64 (pow.f64 y 3)))) (neg.f64 (+.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y (+.f64 y -7936500793651/10000000000000000)))))
(/.f64 (*.f64 1 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000))) (+.f64 y -7936500793651/10000000000000000))
(/.f64 (*.f64 1 (*.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y (+.f64 y -7936500793651/10000000000000000))))
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(pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) 1/3)
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(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)
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
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(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
Outputs
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(*.f64 z (+.f64 7936500793651/10000000000000000 y))
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(*.f64 z (+.f64 7936500793651/10000000000000000 y))
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(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 y z)
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(fma.f64 y (*.f64 z z) (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
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(*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) -192901234567904320987654321/25000000000000000000000000000000) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) 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 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000)))) z))
(*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (fma.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000))))
(/.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 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000)))) z))
(*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (fma.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000))))
(/.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 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000)))) z))
(*.f64 z (/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (fma.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000))))
(pow.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))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2)
(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))
(pow.f64 (cbrt.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))
(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 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))
(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 (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))
(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))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
0.0b
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.1b
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 46 to 28 computations (39.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
0.0ms
x
@-inf
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.0ms
x
@0
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.0ms
x
@inf
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
0.0ms
x
@inf
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

rewrite154.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1268×distribute-lft-in
714×associate-/r*
400×associate-/l*
330×add-sqr-sqrt
316×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01468
131768
2418768
Stop Event
node limit
Counts
2 → 156
Calls
Call 1
Inputs
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
Outputs
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simplify216.0ms (0.8%)

Algorithm
egg-herbie
Rules
1636×associate-+l-
1278×associate-+r-
722×fma-def
604×associate-*r*
548×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049715614
1155314462
2699014462
Stop Event
node limit
Counts
180 → 286
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
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(*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
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(/.f64 83333333333333/1000000000000000 x)
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(/.f64 (/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (*.f64 (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)))))) (cbrt.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)))))
(pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(fma.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 91893853320467/100000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 91893853320467/100000000000000)
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(fma.f64 1/2 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(-.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (-.f64 1 (log.f64 x))))
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(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
(*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
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(fma.f64 -1 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x)))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))))
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
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(-.f64 (+.f64 91893853320467/100000000000000 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (*.f64 1/2 (log.f64 x)))
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(+.f64 (-.f64 91893853320467/100000000000000 (*.f64 x (-.f64 1 (log.f64 x)))) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) 91893853320467/100000000000000) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(+.f64 (*.f64 -1/2 (log.f64 x)) (-.f64 91893853320467/100000000000000 (*.f64 x (-.f64 1 (log.f64 x)))))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) 1/2)))
(+.f64 (-.f64 91893853320467/100000000000000 (*.f64 x (-.f64 1 (log.f64 x)))) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
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(+.f64 (-.f64 91893853320467/100000000000000 (*.f64 x (-.f64 1 (log.f64 x)))) (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.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))))
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(+.f64 (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 91893853320467/100000000000000 (*.f64 x (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.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 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))))
(-.f64 (+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (*.f64 -1 (*.f64 (-.f64 1 (+.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 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) (fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 0 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1) (fma.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
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(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 91893853320467/100000000000000)
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 91893853320467/100000000000000)
(+.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (log.f64 x) (+.f64 x -1/2))
0.3b
(/.f64 83333333333333/1000000000000000 x)
0.4b
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)
21.2b
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
Compiler

Compiled 113 to 73 computations (35.4% saved)

series7.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
2.0ms
x
@-inf
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
1.0ms
x
@0
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
0.0ms
x
@-inf
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)
0.0ms
x
@inf
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)

rewrite204.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1670×associate-/l*
1518×associate-/r/
388×add-sqr-sqrt
382×+-commutative
374×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016115
137975
2530475
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))
(pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)
(*.f64 (log.f64 x) (+.f64 x -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (neg.f64 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 (*.f64 (neg.f64 x) 1) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 (log.f64 x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 x) -1/2) 1) (*.f64 (*.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))))))

simplify255.0ms (0.9%)

Algorithm
egg-herbie
Rules
1162×distribute-lft-in
1122×associate-*r*
1056×distribute-rgt-in
840×associate-*l*
818×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067320943
1223520781
Stop Event
node limit
Counts
219 → 374
Calls
Call 1
Inputs
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 x) 1) (log.f64 x)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (/.f64 (*.f64 (-.f64 1 (log.f64 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2)))) (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2))) x) (*.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 1 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 x) 1) (log.f64 x)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (/.f64 (*.f64 (-.f64 1 (log.f64 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2)))) (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2))) x) (+.f64 (*.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 1 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))) (/.f64 (*.f64 (-.f64 1 (log.f64 x)) (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 x) 1) (log.f64 x)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (/.f64 (*.f64 (-.f64 1 (log.f64 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2)))) (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2)))) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))) (pow.f64 x 2)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))))
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(*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) (log.f64 (/.f64 1 x))) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))
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(-.f64 (+.f64 (*.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 1 (*.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) (-.f64 (*.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 1 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (/.f64 (*.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) (-.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) (log.f64 (/.f64 1 x))) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (*.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) (log.f64 (/.f64 1 x))) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x))))))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (*.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) x))) (+.f64 (/.f64 (*.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x)))) (-.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) (log.f64 (/.f64 1 x))) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (*.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))) (pow.f64 (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))) 2))))))
(*.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 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) (+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 3) (pow.f64 (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (*.f64 (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (*.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(/.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))
(/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)))
(/.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))) (/.f64 1 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (-.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 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))
(/.f64 (*.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) (neg.f64 x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3))) (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x x))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)))
(+.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))
(+.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))
(+.f64 (*.f64 (*.f64 x (log.f64 x)) 1) (*.f64 (*.f64 (log.f64 x) -1/2) 1))
(+.f64 (*.f64 (*.f64 (log.f64 x) -1/2) 1) (*.f64 (*.f64 x (log.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 1)
(/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2)))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) (log.f64 x)))
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))))
(pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 x (+.f64 x -1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 1))
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))
(fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2))
(fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))
Outputs
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 -1/4 (pow.f64 (log.f64 x) 2))) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))))
(/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (pow.f64 (log.f64 x) 2) -1/4)) (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) 1/2)))
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 (log.f64 x) 1) (log.f64 x)) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))) (/.f64 (*.f64 (-.f64 1 (log.f64 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2)))) (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) 2))) x) (*.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 1 (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))))
(+.f64 (*.f64 x (-.f64 (/.f64 (+.f64 (log.f64 x) -1) (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) (log.f64 x))) (/.f64 (-.f64 1 (log.f64 x)) (/.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) 2) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 -1/4 (pow.f64 (log.f64 x) 2))))))) (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 -1/4 (pow.f64 (log.f64 x) 2))) (+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))))
(+.f64 (*.f64 x (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) 1/2)) (+.f64 (log.f64 x) -1))) (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (pow.f64 (log.f64 x) 2) -1/4)) (/.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) 1/2)) 2) (-.f64 1 (log.f64 x)))))) (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (pow.f64 (log.f64 x) 2) -1/4)) (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) 1/2))))
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(/.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))
(/.f64 (log.f64 x) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) (+.f64 (pow.f64 x 3) -1/8)))
(*.f64 (log.f64 x) (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))
(/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))
(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))
(/.f64 (log.f64 x) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) (+.f64 (pow.f64 x 3) -1/8)))
(*.f64 (log.f64 x) (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (-.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) (+.f64 (*.f64 (*.f64 x (log.f64 x)) (*.f64 x (log.f64 x))) (-.f64 (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) -1/2)) (*.f64 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (*.f64 (pow.f64 (log.f64 x) 3) -1/8)) (+.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) (pow.f64 (*.f64 (log.f64 x) -1/2) 3)) (+.f64 (*.f64 x (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))))))
(pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1)
(*.f64 (log.f64 x) (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3)
(*.f64 (log.f64 x) (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3)
(*.f64 (log.f64 x) (+.f64 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 x (+.f64 x -1/2)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))
(log1p.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) -1))
(log.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) 0))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 1))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))
(log1p.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) -1))
(log.f64 (+.f64 (pow.f64 x (+.f64 x -1/2)) 0))
(fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))
(*.f64 (log.f64 x) (+.f64 x -1/2))

eval1.8s (6.7%)

Compiler

Compiled 60259 to 39680 computations (34.2% saved)

prune809.0ms (3%)

Pruning

42 alts after pruning (41 fresh and 1 done)

PrunedKeptTotal
New1607241631
Fresh161733
Picked101
Done314
Total1627421669
Error
0.0b
Counts
1669 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
8.9b
(/.f64 1 (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
42.5b
(/.f64 83333333333333/1000000000000000 x)
8.9b
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
43.1b
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
9.3b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
9.4b
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
23.5b
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
26.8b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.2b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
28.4b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
9.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
4.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
7.7b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
3.6b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
8.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
3.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
21.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
30.1b
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
9.8b
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.2b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
43.2b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
43.4b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
43.4b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
39.7b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
40.3b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
43.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
56.8b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
60.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
59.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
43.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
56.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
10.3b
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 83333333333333/1000000000000000 x))
41.9b
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
8.7b
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x)))))
8.8b
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x))))
8.9b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
28.7b
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
Compiler

Compiled 1839 to 1395 computations (24.1% saved)

localize83.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 83333333333333/1000000000000000 x)
0.5b
(/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))
1.6b
(*.f64 (*.f64 (/.f64 y x) z) z)
4.6b
(*.f64 (/.f64 y x) z)
Compiler

Compiled 151 to 75 computations (50.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite92.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1260×associate-/r/
764×associate-/l/
696×distribute-rgt-in
674×distribute-lft-in
478×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
126621
2378021
Stop Event
node limit
Counts
1 → 133
Calls
Call 1
Inputs
(/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) x) 0) (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) 13888888888889/5000000000000000) (*.f64 (/.f64 z x) (*.f64 z -7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z -7936500793651/10000000000000000)) (*.f64 (/.f64 z x) 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) x) 1) 0) (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) x) -1) 0) (*.f64 (fma.f64 z 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simplify115.0ms (0.4%)

Algorithm
egg-herbie
Rules
1154×associate-/r/
850×unswap-sqr
706×distribute-lft-neg-in
654×*-commutative
614×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03505619
110975111
242144667
Stop Event
node limit
Counts
157 → 205
Calls
Call 1
Inputs
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(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) x)) (*.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) z))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) 1)) (*.f64 (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) x) z))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (*.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (cbrt.f64 (/.f64 z x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) x)) (*.f64 (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 1) z))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (sqrt.f64 (/.f64 x z)))) (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (sqrt.f64 (/.f64 x z))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (cbrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) z)) -1)
(neg.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (/.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
Outputs
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(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
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(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
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(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
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(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
(*.f64 (neg.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) x)) z)
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
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(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
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(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
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(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
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(*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) (neg.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))))
(*.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (sqrt.f64 (/.f64 z x))) (neg.f64 (sqrt.f64 (/.f64 z x))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (cbrt.f64 (/.f64 z x))))
(*.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (cbrt.f64 (/.f64 z x))) (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
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(*.f64 (neg.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (neg.f64 x))) z)
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(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) x)) (*.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) z))
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) 1)) (*.f64 (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) x) z))
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (*.f64 (sqrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (cbrt.f64 (/.f64 z x))))
(*.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (cbrt.f64 (/.f64 z x))) (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (neg.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) x)) (*.f64 (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 1) z))
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (sqrt.f64 (/.f64 x z)))) (/.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (sqrt.f64 (/.f64 x z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (sqrt.f64 (/.f64 x z))) (/.f64 (neg.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))) (sqrt.f64 (/.f64 x z))))
(/.f64 (/.f64 (neg.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(/.f64 (/.f64 (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (cbrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 1)
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 2)
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 3)
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(pow.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 3) 1/3)
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(pow.f64 (/.f64 x (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) z)) -1)
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(neg.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))
(fma.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))
(*.f64 (/.f64 z x) (-.f64 -13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) 2))
(fabs.f64 (/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z)))
(fabs.f64 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)) (/.f64 z x)))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)))))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x)) 3))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
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(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))
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(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(exp.f64 (log.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))) 1))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 z x))))
(+.f64 0 (*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000)))
(/.f64 (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000) (/.f64 x z))
(*.f64 (/.f64 z x) (fma.f64 z -7936500793651/10000000000000000 13888888888889/5000000000000000))

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)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
0.2b
(+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x)))
0.2b
(*.f64 (log.f64 x) (-.f64 1/2 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 66 to 40 computations (39.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (log.f64 x) (-.f64 1/2 x))
0.0ms
x
@-inf
(+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x)))
0.0ms
x
@inf
(+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x)))
0.0ms
x
@0
(+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x)))
0.0ms
x
@-inf
(*.f64 (log.f64 x) (-.f64 1/2 x))

rewrite133.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1372×associate-/r*
670×associate-/r/
516×associate-/l*
426×associate-+l+
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01477
132261
2478961
Stop Event
node limit
Counts
3 → 403
Calls
Call 1
Inputs
(*.f64 (log.f64 x) (-.f64 1/2 x))
(+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
Outputs
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simplify209.0ms (0.8%)

Algorithm
egg-herbie
Rules
1402×associate-*r*
994×associate-*l*
900×associate-+l+
858×+-commutative
716×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089625411
1280125073
Stop Event
node limit
Counts
439 → 708
Calls
Call 1
Inputs
(*.f64 1/2 (log.f64 x))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(*.f64 (log.f64 (/.f64 1 x)) x)
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(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
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(/.f64 83333333333333/1000000000000000 x)
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(/.f64 83333333333333/1000000000000000 x)
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(*.f64 -1 x)
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(*.f64 -1 x)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)))) 1)
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(-.f64 (-.f64 0 (*.f64 (neg.f64 (log.f64 x)) 1/2)) (*.f64 (neg.f64 (log.f64 x)) x))
(-.f64 (-.f64 0 (*.f64 1/2 (log.f64 x))) (*.f64 x (log.f64 x)))
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(/.f64 (log.f64 x) (/.f64 1 (+.f64 1/2 x)))
(/.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) 1)
(/.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) -1)
(/.f64 (neg.f64 (log.f64 x)) (/.f64 1 (+.f64 1/2 x)))
(/.f64 (+.f64 1/4 (*.f64 x x)) (/.f64 (+.f64 1/2 x) (log.f64 x)))
(/.f64 (+.f64 1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))) (log.f64 x)))
(/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))
(/.f64 (*.f64 (log.f64 x) (+.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))
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(/.f64 (*.f64 (+.f64 1/4 (*.f64 x x)) (log.f64 x)) (+.f64 1/2 x))
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(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) 1) (+.f64 1/2 x))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (sqrt.f64 (+.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (cbrt.f64 (+.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 x)) 2))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1/2 x)) 2)) (cbrt.f64 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (+.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/4 (*.f64 x x))) (+.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) 1) (+.f64 1/2 x))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (sqrt.f64 (+.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (cbrt.f64 (+.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 x)) 2))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1/2 x)) 2)) (cbrt.f64 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 1/2 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x)))))
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(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2) (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2)) (/.f64 1 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2) (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2) (+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) 1) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))) (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2)) (/.f64 1 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (/.f64 83333333333333/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) x)
(fma.f64 1 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 1 x (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) x)
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 -1 x (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
Outputs
(*.f64 1/2 (log.f64 x))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 -1 (*.f64 x (log.f64 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(*.f64 (log.f64 (/.f64 1 x)) x)
(*.f64 (neg.f64 x) (log.f64 x))
(*.f64 (log.f64 x) (neg.f64 x))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(+.f64 (*.f64 (log.f64 (/.f64 1 x)) x) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
(fma.f64 1/2 (log.f64 x) (*.f64 (neg.f64 x) (log.f64 x)))
(fma.f64 1/2 (log.f64 x) (*.f64 (log.f64 x) (neg.f64 x)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))
(neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 x))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 x)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 x)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (-.f64 1 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (-.f64 1 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x)))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(fma.f64 1/2 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)) (*.f64 (log.f64 x) -1/2))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (-.f64 1 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (-.f64 1 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x)))
(*.f64 -1 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (+.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))))
(fma.f64 -1 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (+.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 83333333333333/1000000000000000 x) (fma.f64 -1 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(+.f64 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (+.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 83333333333333/1000000000000000 x) (fma.f64 -1 (*.f64 x (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 -1 x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) 0)
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 0 (*.f64 (log.f64 x) (+.f64 1/2 x)))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 (log.f64 x) 1/2) (*.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 (log.f64 x) 1/2) (+.f64 (*.f64 (log.f64 x) x) 0))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) 1/2))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2) (*.f64 (neg.f64 (log.f64 x)) x))
(*.f64 (log.f64 x) (neg.f64 (+.f64 1/2 x)))
(+.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2) (+.f64 (*.f64 (neg.f64 (log.f64 x)) x) 0))
(*.f64 (log.f64 x) (neg.f64 (+.f64 1/2 x)))
(+.f64 (*.f64 (neg.f64 (log.f64 x)) x) (*.f64 (neg.f64 (log.f64 x)) 1/2))
(*.f64 (log.f64 x) (neg.f64 (+.f64 1/2 x)))
(+.f64 (*.f64 1/2 (log.f64 x)) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (log.f64 x)) (+.f64 (*.f64 x (log.f64 x)) 0))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 x (log.f64 x)) (*.f64 1/2 (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (log.f64 x) (neg.f64 (+.f64 1/2 x)))
(+.f64 (*.f64 1/2 (neg.f64 (log.f64 x))) (+.f64 (*.f64 x (neg.f64 (log.f64 x))) 0))
(*.f64 (log.f64 x) (neg.f64 (+.f64 1/2 x)))
(+.f64 (*.f64 x (neg.f64 (log.f64 x))) (*.f64 1/2 (neg.f64 (log.f64 x))))
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(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) 1) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))) (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2)) (/.f64 1 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 1 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (/.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) 1) (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(*.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))) (/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) 1))
(/.f64 (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (*.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))))))
(pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 1)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 2)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 3)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(log.f64 (/.f64 (exp.f64 x) (exp.f64 (/.f64 83333333333333/1000000000000000 x))))
(log.f64 (exp.f64 (+.f64 x (/.f64 -83333333333333/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) 3))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(exp.f64 (log.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))) 1))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) x)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 1 x (/.f64 83333333333333/1000000000000000 x))
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 1 x (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 1 x (/.f64 -83333333333333/1000000000000000 x))
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) x)
(-.f64 x (/.f64 -83333333333333/1000000000000000 x))
(+.f64 x (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 x (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -83333333333333/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -83333333333333/1000000000000000 x))
(fma.f64 -1 x (/.f64 83333333333333/1000000000000000 x))
(-.f64 (/.f64 83333333333333/1000000000000000 x) x)
(fma.f64 -1 x (neg.f64 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (/.f64 -83333333333333/1000000000000000 x) x)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
0.3b
(/.f64 83333333333333/1000000000000000 x)
5.3b
(/.f64 y (/.f64 x (*.f64 z z)))
7.4b
(/.f64 x (*.f64 z z))
Compiler

Compiled 119 to 60 computations (49.6% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1588×add-sqr-sqrt
1564×*-un-lft-identity
1470×add-cube-cbrt
1452×add-cbrt-cube
1438×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2191913
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 -13888888888889/5000000000000000 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 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -13888888888889/5000000000000000 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -13888888888889/5000000000000000 (/.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 -13888888888889/5000000000000000 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -13888888888889/5000000000000000 z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 -13888888888889/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 13888888888889/5000000000000000) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -13888888888889/5000000000000000 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 -13888888888889/5000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (cbrt.f64 (*.f64 x x))) (/.f64 -13888888888889/5000000000000000 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 1) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z 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 pow.f64 (*.f64 -5000000000000000/13888888888889 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(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))))))))

simplify57.0ms (0.2%)

Algorithm
egg-herbie
Rules
1386×associate-+r+
1266×associate-+l+
1092×associate-*r/
856×*-commutative
676×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01071071
12721023
210511023
345021023
Stop Event
node limit
Counts
65 → 46
Calls
Call 1
Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)
(*.f64 -13888888888889/5000000000000000 (*.f64 z (/.f64 1 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 1 (/.f64 x z)))
(*.f64 z (*.f64 -13888888888889/5000000000000000 (/.f64 1 x)))
(*.f64 (*.f64 -13888888888889/5000000000000000 z) (/.f64 1 x))
(*.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(*.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 (/.f64 1 x) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 (*.f64 z 13888888888889/5000000000000000) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 z 1) (/.f64 -13888888888889/5000000000000000 x))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 x x))) (/.f64 -13888888888889/5000000000000000 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 1) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z 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)
(pow.f64 (*.f64 -5000000000000000/13888888888889 (/.f64 x z)) -1)
(neg.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 2))
(log.f64 (exp.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(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 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(-.f64 (+.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (*.f64 z (/.f64 1 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 1 (/.f64 x z)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (*.f64 -13888888888889/5000000000000000 (/.f64 1 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (*.f64 -13888888888889/5000000000000000 z) (/.f64 1 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 1 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (/.f64 1 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 1 x) (*.f64 -13888888888889/5000000000000000 z))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (*.f64 z 13888888888889/5000000000000000) (/.f64 1 (neg.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))
(*.f64 z (/.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)))
(*.f64 z (/.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 -13888888888889/5000000000000000 x) z)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))
(*.f64 z (/.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 z 1) (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 z (cbrt.f64 (*.f64 x x))) (/.f64 -13888888888889/5000000000000000 (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 1) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 -13888888888889/5000000000000000 (cbrt.f64 (*.f64 x x))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (/.f64 (sqrt.f64 x) z)))
(*.f64 (/.f64 z (sqrt.f64 x)) (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)))
(*.f64 z (/.f64 (/.f64 -13888888888889/5000000000000000 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 z)) 2) (cbrt.f64 (*.f64 x x))))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(pow.f64 (*.f64 -5000000000000000/13888888888889 (/.f64 x z)) -1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(neg.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (neg.f64 x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 2))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(log.f64 (exp.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x)))
0.2b
(*.f64 (log.f64 x) (-.f64 1/2 x))
0.3b
(/.f64 83333333333333/1000000000000000 x)
3.6b
(expm1.f64 (log1p.f64 x))
Compiler

Compiled 66 to 38 computations (42.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(expm1.f64 (log1p.f64 x))
0.0ms
x
@-inf
(-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x)))
0.0ms
x
@inf
(-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x)))
0.0ms
x
@0
(-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x)))
0.0ms
x
@0
(expm1.f64 (log1p.f64 x))

rewrite101.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1482×distribute-lft-in
752×associate-/r*
530×associate-/l*
394×associate-+l+
372×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01436
131732
2413132
Stop Event
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 x))
(-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 x)))
Outputs
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simplify136.0ms (0.5%)

Algorithm
egg-herbie
Rules
1264×associate--r-
874×fma-def
652×associate--l-
622×associate-*r*
536×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045110551
113799291
273439291
Stop Event
node limit
Counts
195 → 248
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
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(cbrt.f64 (pow.f64 x 3))
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(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) (neg.f64 x))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)))) (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)) (+.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 3)) (+.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (+.f64 (*.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)))) (+.f64 (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)) (+.f64 (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x x)) 1) (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))) (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))) (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))))
(pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(exp.f64 (log.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))
(fma.f64 83333333333333/1000000000000000 (/.f64 1 x) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 1 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x))))) (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x))))) (neg.f64 x))
(fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x))))) (neg.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (log.f64 x))) x)) (*.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (fma.f64 -1/2 (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 x (-.f64 1 (log.f64 x))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (/.f64 83333333333333/1000000000000000 x)) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (/.f64 83333333333333/1000000000000000 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (log.f64 (pow.f64 x (-.f64 1/2 x)))) 2) (*.f64 x (-.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x (-.f64 1/2 x))) x))))))
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(pow.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1)
(fma.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x)) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
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(pow.f64 (sqrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
(fma.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x)) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3)
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(fma.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x)) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))

eval922.0ms (3.4%)

Compiler

Compiled 56998 to 35354 computations (38% saved)

prune791.0ms (2.9%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New1756161772
Fresh102636
Picked101
Done235
Total1769451814
Error
0.0b
Counts
1814 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
42.5b
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
42.8b
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
8.9b
(/.f64 1 (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
42.5b
(/.f64 83333333333333/1000000000000000 x)
8.9b
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
9.3b
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
9.4b
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
26.8b
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
28.4b
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9.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
8.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
4.3b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
4.9b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
3.6b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
3.9b
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5.1b
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
21.6b
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
30.1b
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
9.8b
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
43.2b
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
39.7b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
40.3b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
43.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
56.8b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
60.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
59.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
43.1b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
56.0b
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
10.3b
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 83333333333333/1000000000000000 x))
41.9b
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
8.7b
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x)))))
9.8b
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (neg.f64 x) (log.f64 x))) (expm1.f64 (log1p.f64 x))))
43.2b
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
33.4b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
8.9b
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
30.8b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
33.8b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))) (+.f64 1/8 (pow.f64 x 3))))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
9.9b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
38.5b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
28.6b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
43.2b
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
28.7b
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
42.5b
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
Compiler

Compiled 935 to 710 computations (24.1% saved)

regimes785.0ms (2.9%)

Counts
108 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
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(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (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))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x)))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.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)))
(+.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 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.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 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.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 (+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 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 (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 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (*.f64 (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 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 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) (expm1.f64 (log1p.f64 x)))))
(+.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 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.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)))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.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) (expm1.f64 (log1p.f64 x)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
Calls

7 calls:

190.0ms
x
133.0ms
y
130.0ms
z
96.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
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))
Results
ErrorSegmentsBranch
0.3b2x
0.4b3y
0.2b3z
1.1b2(+.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))
0.8b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.8b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.4b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 2337 to 1488 computations (36.3% saved)

bsearch71.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
5.3585951869615e+43
1.628478111301632e+53
40.0ms
-2.028741543317133e+136
-1.0684731666817193e+133
Results
42.0ms272×body256valid
22.0ms131×body256infinite
Compiler

Compiled 1121 to 807 computations (28% saved)

regimes665.0ms (2.4%)

Counts
104 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 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 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))) (+.f64 1/8 (pow.f64 x 3))))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))
(+.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))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.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 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (neg.f64 x) (log.f64 x))) (expm1.f64 (log1p.f64 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 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 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.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 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.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 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (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))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x)))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.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)))
(+.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 (+.f64 (-.f64 (*.f64 (+.f64 -1/2 x) (*.f64 3 (log.f64 (cbrt.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 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 83333333333333/1000000000000000))) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.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 (+.f64 (-.f64 (*.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 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 (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 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (*.f64 (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 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.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)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
Calls

7 calls:

127.0ms
y
126.0ms
z
117.0ms
x
83.0ms
(+.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))
81.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
Results
ErrorSegmentsBranch
0.3b2x
0.4b3y
0.3b3z
1.1b2(+.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))
0.8b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.8b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.4b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 2227 to 1418 computations (36.3% saved)

bsearch81.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
5.3585951869615e+43
1.628478111301632e+53
37.0ms
-2.028741543317133e+136
-1.0684731666817193e+133
Results
41.0ms272×body256valid
17.0ms117×body256infinite
Compiler

Compiled 1087 to 773 computations (28.9% saved)

regimes906.0ms (3.3%)

Counts
90 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
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(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 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 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))) (+.f64 1/8 (pow.f64 x 3))))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))
(+.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))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.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 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (neg.f64 x) (log.f64 x))) (expm1.f64 (log1p.f64 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 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 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.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 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 1) 2) x) (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.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 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (-.f64 (*.f64 (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))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) (expm1.f64 (log1p.f64 x)))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
Calls

7 calls:

235.0ms
x
205.0ms
y
181.0ms
z
88.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
70.0ms
(+.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))
Results
ErrorSegmentsBranch
0.3b2x
0.4b3y
0.3b3z
1.1b2(+.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))
0.8b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.8b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.4b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 1873 to 1191 computations (36.4% saved)

bsearch42.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
2.6107713095303113e-33
4.211945832882834e-33
28.0ms
-2.6710149434800206e+90
-1.3221958379896802e+89
Results
32.0ms176×body256valid
5.0ms36×body256infinite
Compiler

Compiled 762 to 556 computations (27% saved)

regimes720.0ms (2.6%)

Counts
76 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
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(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
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(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 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 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 -1 x) (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 1 (neg.f64 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 1/2 x))) (+.f64 1/8 (pow.f64 x 3))))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))))
(+.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))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.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 (/.f64 (log.f64 x) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (neg.f64 x) (log.f64 x))) (expm1.f64 (log1p.f64 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (-.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (expm1.f64 (log1p.f64 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 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 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))
Calls

7 calls:

152.0ms
z
137.0ms
y
109.0ms
(+.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))
102.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
84.0ms
x
Results
ErrorSegmentsBranch
0.3b2x
0.4b3y
0.3b3z
1.1b2(+.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))
0.8b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.8b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.4b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 1501 to 936 computations (37.6% saved)

bsearch30.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
5.3585951869615e+43
1.628478111301632e+53
14.0ms
-2.6710149434800206e+90
-1.3221958379896802e+89
Results
19.0ms128×body256valid
8.0ms40×body256infinite
Compiler

Compiled 617 to 433 computations (29.8% saved)

regimes489.0ms (1.8%)

Counts
49 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 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 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
Calls

7 calls:

112.0ms
y
101.0ms
z
70.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
67.0ms
x
58.0ms
(+.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))
Results
ErrorSegmentsBranch
0.4b2x
0.7b3y
0.4b3z
1.1b2(+.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))
0.9b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.9b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.7b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 938 to 580 computations (38.2% saved)

bsearch105.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
83.0ms
8.244297834134314e+140
1.9522836794174477e+187
21.0ms
-2.3836139324132e+56
-2.013771746132448e+55
Results
57.0ms176×body256infinite
41.0ms272×body256valid
Compiler

Compiled 1163 to 805 computations (30.8% saved)

regimes1.2s (4.4%)

Counts
48 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 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 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))
Calls

7 calls:

506.0ms
(+.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))
422.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
63.0ms
y
63.0ms
z
53.0ms
(+.f64 y 7936500793651/10000000000000000)
Results
ErrorSegmentsBranch
0.4b2x
0.7b3y
0.4b3z
0.3b3(+.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))
0.9b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
0.9b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.7b3(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 906 to 563 computations (37.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.334056384521211e+301
2.4620266970675437e+307
0.0ms
250357274289208.78
1011179205410527200.0
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes305.0ms (1.1%)

Counts
45 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
Calls

7 calls:

68.0ms
x
58.0ms
z
54.0ms
(+.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))
40.0ms
y
37.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
Results
ErrorSegmentsBranch
1.4b2x
3.3b2y
1.4b3z
1.1b3(+.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))
1.6b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
1.6b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
3.4b2(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 816 to 516 computations (36.8% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.334056384521211e+301
2.4620266970675437e+307
0.0ms
250357274289208.78
1011179205410527200.0
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes333.0ms (1.2%)

Counts
43 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
Calls

7 calls:

73.0ms
z
65.0ms
(+.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))
52.0ms
x
39.0ms
(+.f64 y 7936500793651/10000000000000000)
39.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
Results
ErrorSegmentsBranch
1.4b2x
5.1b1y
1.4b3z
2.1b2(+.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))
2.1b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
2.1b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
5.1b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 760 to 486 computations (36.1% saved)

bsearch67.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
368.9616340003968
49484816.47098816
3.0ms
-2.3836139324132e+56
-2.013771746132448e+55
Results
23.0ms160×body256valid
2.0ms11×body256infinite
Compiler

Compiled 553 to 405 computations (26.8% saved)

regimes228.0ms (0.8%)

Counts
39 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 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))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
Calls

7 calls:

62.0ms
(+.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))
48.0ms
z
34.0ms
x
33.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
18.0ms
y
Results
ErrorSegmentsBranch
1.4b2x
5.1b1y
1.4b3z
2.1b2(+.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))
2.1b2(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
2.1b2(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
5.1b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 657 to 422 computations (35.8% saved)

bsearch48.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
368.9616340003968
49484816.47098816
22.0ms
-2.3836139324132e+56
-2.013771746132448e+55
Results
39.0ms240×body256valid
3.0ms22×body256infinite
Compiler

Compiled 813 to 595 computations (26.8% saved)

regimes244.0ms (0.9%)

Counts
38 → 4
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.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 x (-.f64 (log.f64 x) 1)) 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 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (/.f64 x 83333333333333/1000000000000000)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 x)) (+.f64 1/4 (*.f64 x x))) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
Outputs
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
Calls

6 calls:

62.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
50.0ms
x
46.0ms
z
44.0ms
y
17.0ms
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
Results
ErrorSegmentsBranch
1.8b2x
5.9b1y
2.2b3z
1.5b4(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
1.5b4(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
5.9b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 606 to 386 computations (36.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.223897335111379e+246
1.384583462647888e+261
0.0ms
1.9818401554073026e-53
3.314926175225456e-53
0.0ms
-1.0119785550594359e+45
-2.4379196814296942e+38
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes236.0ms (0.9%)

Counts
34 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))
Calls

6 calls:

66.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
57.0ms
z
52.0ms
y
29.0ms
x
12.0ms
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
Results
ErrorSegmentsBranch
1.8b2x
8.9b1y
3.1b3z
2.0b3(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
2.0b3(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
8.9b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 517 to 327 computations (36.8% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
1.3049897118275013e-6
5.191195424185707e-6
Results
13.0ms80×body256valid
1.0msbody256infinite
Compiler

Compiled 273 to 205 computations (24.9% saved)

regimes250.0ms (0.9%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
Calls

6 calls:

81.0ms
(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
62.0ms
z
40.0ms
y
34.0ms
x
15.0ms
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
Results
ErrorSegmentsBranch
4.7b2x
8.9b1y
7.4b3z
5.6b4(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
5.6b4(*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
8.9b1(+.f64 y 7936500793651/10000000000000000)
Compiler

Compiled 477 to 305 computations (36.1% saved)

bsearch44.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
5.191195424185707e-6
0.6602362848260672
Results
40.0ms144×body256valid
2.0ms11×body256infinite
Compiler

Compiled 411 to 322 computations (21.7% saved)

regimes169.0ms (0.6%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.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 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 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

56.0ms
x
43.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
5.5b3x
8.9b1y
7.4b3z
Compiler

Compiled 425 to 266 computations (37.4% saved)

bsearch83.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
5.191195424185707e-6
0.6602362848260672
56.0ms
1.0037045221503089e-28
3.3431125745601554e-25
Results
72.0ms272×body256valid
4.0ms29×body256infinite
Compiler

Compiled 729 to 577 computations (20.9% saved)

regimes154.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (/.f64 (log.f64 x) (/.f64 -1 (+.f64 1/2 x)))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
Calls

3 calls:

54.0ms
x
48.0ms
z
15.0ms
y
Results
ErrorSegmentsBranch
6.6b2x
8.9b1y
7.7b3z
Compiler

Compiled 353 to 230 computations (34.8% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.0037045221503089e-28
3.3431125745601554e-25
Results
19.0ms128×body256valid
4.0ms19×body256infinite
Compiler

Compiled 337 to 257 computations (23.7% saved)

regimes122.0ms (0.4%)

Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
Calls

3 calls:

63.0ms
z
12.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
8.9b1x
8.9b1y
7.7b3z
Compiler

Compiled 303 to 197 computations (35% saved)

bsearch90.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
-1.3221958379896802e+89
-1.473149665774682e+85
60.0ms
-4.1348495963404283e+142
-1.542715035545484e+138
Results
67.0ms256×body256valid
19.0ms120×body256infinite
Compiler

Compiled 601 to 465 computations (22.6% saved)

regimes98.0ms (0.4%)

Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
Outputs
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
Calls

3 calls:

67.0ms
z
12.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
8.9b1x
8.9b1y
7.7b3z
Compiler

Compiled 287 to 188 computations (34.5% saved)

bsearch68.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
-1.3221958379896802e+89
-1.473149665774682e+85
39.0ms
-4.1348495963404283e+142
-1.542715035545484e+138
Results
43.0ms256×body256valid
20.0ms135×body256infinite
Compiler

Compiled 601 to 465 computations (22.6% saved)

regimes41.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (neg.f64 (-.f64 1/2 x))) (-.f64 (/.f64 83333333333333/1000000000000000 x) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (+.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))))
Outputs
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
Calls

3 calls:

12.0ms
y
11.0ms
x
11.0ms
z
Results
ErrorSegmentsBranch
8.9b1x
8.9b1y
8.9b1z
Compiler

Compiled 271 to 179 computations (33.9% saved)

regimes33.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
Outputs
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

9.0ms
z
9.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
8.9b1x
8.9b1y
8.9b1z
Compiler

Compiled 210 to 140 computations (33.3% saved)

regimes53.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 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:

29.0ms
x
10.0ms
z
9.0ms
y
Results
ErrorSegmentsBranch
8.9b1x
8.9b1y
8.9b1z
Compiler

Compiled 196 to 131 computations (33.2% saved)

regimes69.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (*.f64 (log.f64 x) (+.f64 1/2 x)) (+.f64 x (/.f64 83333333333333/1000000000000000 x))))
(+.f64 91893853320467/100000000000000 (-.f64 (+.f64 x (/.f64 83333333333333/1000000000000000 x)) (*.f64 (log.f64 x) (+.f64 1/2 x))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
Outputs
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

47.0ms
y
9.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
9.7b1x
9.7b1y
9.7b1z
Compiler

Compiled 182 to 122 computations (33% saved)

regimes242.0ms (0.9%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x)))
Calls

3 calls:

124.0ms
z
52.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
9.3b2x
25.6b5y
24.6b5z
Compiler

Compiled 64 to 47 computations (26.6% saved)

bsearch64.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
5.191195424185707e-6
0.6602362848260672
Results
60.0ms144×body256valid
2.0ms11×body256infinite
Compiler

Compiled 303 to 250 computations (17.5% saved)

regimes83.0ms (0.3%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 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 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
Calls

3 calls:

45.0ms
y
23.0ms
z
13.0ms
x
Results
ErrorSegmentsBranch
9.5b2x
25.7b5y
24.7b5z
Compiler

Compiled 52 to 40 computations (23.1% saved)

bsearch35.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
0.6602362848260672
68.99182062145277
Results
31.0ms112×body256valid
2.0ms12×body256infinite
Compiler

Compiled 222 to 186 computations (16.2% saved)

regimes83.0ms (0.3%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x)))
Calls

3 calls:

43.0ms
x
20.0ms
y
19.0ms
z
Results
ErrorSegmentsBranch
9.7b2x
25.7b5y
24.7b5z
Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.6602362848260672
68.99182062145277
Results
16.0ms112×body256valid
2.0ms11×body256infinite
Compiler

Compiled 173 to 144 computations (16.8% saved)

regimes49.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
Outputs
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
Calls

3 calls:

40.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
41.9b1x
41.9b1y
41.9b1z
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes44.0ms (0.2%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
Outputs
(/.f64 83333333333333/1000000000000000 x)
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
42.5b1x
42.5b1y
42.5b1z
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify163.0ms (0.6%)

Algorithm
egg-herbie
Rules
168×+-commutative
120×*-commutative
106×distribute-lft-neg-in
58×distribute-rgt-neg-in
58×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02263645
13463625
23913625
34333625
44813625
55223625
65803625
76313625
86483625
96503625
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 50000000000000002192292152253809867731702382592) (+.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) (expm1.f64 (log1p.f64 x))))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 50000000000000002192292152253809867731702382592) (+.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))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (<=.f64 z -134999999999999997171528398774875463126365723216918718096640611637333466780788149383593984) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 5553706221857431/1461501637330902918203684832716283019655932542976) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))))
(if (<=.f64 z -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 4999999999999999966104743371808139882308542209720320) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (<=.f64 z -220000000000000015863009421327419791453680836247872864256) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) (if (<=.f64 z 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))))
(if (<=.f64 (+.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)) 500000000000000) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x)))) (if (<=.f64 (+.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)) 100000000000000007629703079084894925347346855150656811701601734206211380288125794484142188964691784076639747577138548761372210387844799938291815611350519830750167649856488981626536368095414607314235151058373458986890825155659063617715863205282622390509284183439858617103083735673849899204570498157510656) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 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 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))))
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(if (<=.f64 z -200000000000000018380567016286756476168068919431369064448) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) (if (<=.f64 z 49000000) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))))
(if (<=.f64 z -20499999999999999052858826387184522791950330409403809792) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) (if (<=.f64 z 49000000) (+.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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z))))
(if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -999999999999999929757289024535551219930759168) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 8627182933488205/431359146674410236714672241392314090778194310760649159697657763987456) (-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 4999999999999999760735974646144406802668162693126366712121860560028867422224871803995332339490365705143022923423718957053975462570377978259298633287860084956249979212654597850332557839410175135596805230755849297863690962148994861165983461669863424) (+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)))))
(if (<=.f64 x 5902958103587057/1180591620717411303424) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 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 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)))
(if (<=.f64 x 112986307451471/1152921504606846976) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(if (<=.f64 x 3122104327794287/22300745198530623141535718272648361505980416) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x)) (if (<=.f64 x 8618318831237103/1180591620717411303424) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 1796690897342555/5444517870735015415413993718908291383296) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x)) (-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x))))
(if (<=.f64 z -3000000000000000098524687467614778236961037699078835086536940278776241020696363986632003946883182238051848514352967306735945471902634475520) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))) (if (<=.f64 z -75000000000000003140219060950622358403440959323848663371424064800169147646943286437871616) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(if (<=.f64 z -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))) (if (<=.f64 z -36999999999999999381842337274155585856852605688451961181522291800657524209988414390403072) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))))
(-.f64 (-.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000) x) (*.f64 (log.f64 x) (-.f64 1/2 x)))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (-.f64 (log.f64 x) 1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(if (<=.f64 x 3512807709348987/18014398509481984) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 91893853320467/100000000000000 (+.f64 (neg.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) (neg.f64 x))))
(if (<=.f64 x 1) (+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))))
(if (<=.f64 x 2589569785738035/1125899906842624) (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (-.f64 1 (log.f64 x)) (neg.f64 x))))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
Outputs
(if (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 50000000000000002192292152253809867731702382592) (+.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) (expm1.f64 (log1p.f64 x))))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (or (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (not (<=.f64 z 50000000000000002192292152253809867731702382592))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.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) (expm1.f64 (log1p.f64 x))))))
(if (or (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (not (<=.f64 z 50000000000000002192292152253809867731702382592))) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.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) (expm1.f64 (log1p.f64 x))))))
(if (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 50000000000000002192292152253809867731702382592) (+.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))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (or (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (not (<=.f64 z 50000000000000002192292152253809867731702382592))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.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))))
(if (or (<=.f64 z -10799999999999999837916118031270620148168911419581054961300613213646112169271206624178108852659111981728878326483098788139281407803392) (not (<=.f64 z 50000000000000002192292152253809867731702382592))) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.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))))
(if (<=.f64 z -134999999999999997171528398774875463126365723216918718096640611637333466780788149383593984) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 5553706221857431/1461501637330902918203684832716283019655932542976) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))))
(if (<=.f64 z -134999999999999997171528398774875463126365723216918718096640611637333466780788149383593984) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 5553706221857431/1461501637330902918203684832716283019655932542976) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))))
(if (<=.f64 z -134999999999999997171528398774875463126365723216918718096640611637333466780788149383593984) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 5553706221857431/1461501637330902918203684832716283019655932542976) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))))
(if (<=.f64 z -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (if (<=.f64 z 4999999999999999966104743371808139882308542209720320) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z))))))))
(if (or (<=.f64 z -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (not (<=.f64 z 4999999999999999966104743371808139882308542209720320))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z (+.f64 (*.f64 z 7936500793651/10000000000000000) -13888888888889/5000000000000000)) x)))))
(if (or (<=.f64 z -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (not (<=.f64 z 4999999999999999966104743371808139882308542209720320))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z 7936500793651/10000000000000000))) x)))))
(if (or (<=.f64 z -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (not (<=.f64 z 4999999999999999966104743371808139882308542209720320))) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (+.f64 13888888888889/5000000000000000 (*.f64 z -7936500793651/10000000000000000)) (/.f64 x (neg.f64 z)))))) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z 7936500793651/10000000000000000))) x)))))
(if (<=.f64 z -220000000000000015863009421327419791453680836247872864256) (+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x) z)) (if (<=.f64 z 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))) (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (*.f64 (*.f64 (/.f64 y x) z) z) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))))
(if (<=.f64 z -220000000000000015863009421327419791453680836247872864256) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (*.f64 z (/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) x))) (if (<=.f64 z 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 z (+.f64 (*.f64 z 7936500793651/10000000000000000) -13888888888889/5000000000000000)) x)))) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) (+.f64 (*.f64 z (*.f64 z (/.f64 y x))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))))
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(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
Compiler

Compiled 1328 to 917 computations (30.9% saved)

soundness617.0ms (2.3%)

Algorithm
egg-herbie
Rules
1570×fma-def
1402×associate-+l-
1368×associate-+r-
1304×associate-*r/
1230×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046410494
111439342
246569340
06157315
117737179
274867179
02363
14663
210261
324359
463659
5165059
6344859
7552559
8718859
03587488
18746956
237706520
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 967 to 589 computations (39.1% saved)

end556.0ms (2%)

Compiler

Compiled 1256 to 790 computations (37.1% saved)

Profiling

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