Details

Time bar (total: 7.2s)

analyze3.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%25%25%0%3
50%25%25%0%25%25%0%4
75%37.5%12.5%0%25%25%0%5
87.5%43.7%6.2%0%25%25%0%6
93.8%46.9%3.1%0%25%25%0%7
96.9%48.4%1.6%0%25%25%0%8
98.4%49.2%0.8%0%25%25%0%9
99.2%49.6%0.4%0%25%25%0%10
99.6%49.8%0.2%0%25%25%0%11
99.8%49.9%0.1%0%25%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample3.7s (50.9%)

Results
2.1s4189×body1024valid
892.0ms2074×body512valid
477.0ms401×body2048valid
184.0ms1592×body256valid
0.0msbody256invalid
Bogosity

preprocess302.0ms (4.2%)

Algorithm
egg-herbie
Rules
1728×fma-def
1078×distribute-lft-in
796×associate-+r+
786×associate-+l-
774×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
12019
23019
34419
47319
510819
616819
732819
875719
9144819
10205419
11257819
12363819
13442819
14492219
15509819
16519819
17519819
18669219
19700819
20708619
21709419
22710219
23710219
24730219
25787819
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify303.0ms (4.2%)

Algorithm
egg-herbie
Rules
1728×fma-def
1078×distribute-lft-in
796×associate-+r+
786×associate-+l-
774×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
12019
23019
34419
47319
510819
616819
732819
875719
9144819
10205419
11257819
12363819
13442819
14492219
15509819
16519819
17519819
18669219
19700819
20708619
21709419
22710219
23710219
24730219
25787819
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0%
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
92.22%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.54%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@-inf
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.0ms
eps
@inf
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
0.0ms
eps
@0
(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite71.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1538×associate-/r*
1472×associate-*l/
1052×associate-/l*
922×associate-/r/
880×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
119038
2258038
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 -1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 eps) (/.f64 -1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))))) (#(struct:change 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eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (cbrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (neg.f64 (-.f64 1 (*.f64 eps eps)))) (+.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (neg.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 eps) (-.f64 (*.f64 eps eps) 1)) (-.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (-.f64 1 eps) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 eps) (neg.f64 (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 eps) (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 1 (pow.f64 eps 3))) (-.f64 1 (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (-.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (pow.f64 (fma.f64 eps eps eps) 3))) (-.f64 (+.f64 1 (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps))) (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 eps) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 eps) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))))))

simplify565.0ms (7.8%)

Algorithm
egg-herbie
Rules
1380×associate-/l*
1066×associate-/r*
1058×associate-*r/
896×associate-*l/
872×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03605567
110204945
238864937
Stop Event
node limit
Counts
149 → 253
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(+.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps))))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (-.f64 (log.f64 (sqrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log1p.f64 (neg.f64 eps)))
(+.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 (neg.f64 eps)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (+.f64 1 (pow.f64 eps 3)))) (log.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (-.f64 1 (*.f64 eps eps)))) (log1p.f64 (neg.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(-.f64 0 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps))))
(-.f64 (log.f64 (+.f64 -1 eps)) (log.f64 (-.f64 -1 eps)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (-.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (neg.f64 (log1p.f64 eps))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 eps 3))) (+.f64 (log.f64 (+.f64 1 (fma.f64 eps eps eps))) (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))
(-.f64 (log.f64 (-.f64 1 (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 eps))) (log.f64 (-.f64 -1 eps)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))) 1)
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) 0) (log1p.f64 eps))
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (sqrt.f64 (+.f64 1 eps)))) (log.f64 (sqrt.f64 (+.f64 1 eps))))
(-.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))) (log.f64 (cbrt.f64 (+.f64 1 eps))))
(*.f64 1 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(*.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (*.f64 (log1p.f64 eps) (log1p.f64 eps))) 1) (+.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 eps)) 3) (pow.f64 (log1p.f64 eps) 3)) 1) (+.f64 (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 (neg.f64 eps))) (+.f64 (*.f64 (log1p.f64 eps) (log1p.f64 eps)) (*.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))))
(pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (neg.f64 (/.f64 eps (+.f64 1 eps))))
(+.f64 (neg.f64 (/.f64 eps (+.f64 1 eps))) (/.f64 -1 (-.f64 -1 eps)))
(-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) 1)
(*.f64 1 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))
(*.f64 (-.f64 1 eps) (/.f64 -1 (-.f64 -1 eps)))
(*.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(*.f64 (sqrt.f64 (-.f64 1 eps)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2) (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 1 eps))
(*.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)) (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))))
(*.f64 (+.f64 -1 eps) (/.f64 1 (-.f64 -1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (/.f64 1 (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 eps))) (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (-.f64 1 eps) (cbrt.f64 (+.f64 1 eps))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(*.f64 (/.f64 (-.f64 1 eps) (+.f64 1 (pow.f64 eps 3))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (pow.f64 (-.f64 1 eps) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (*.f64 (-.f64 1 eps) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)) (sqrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (cbrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 (-.f64 1 eps)) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (+.f64 1 eps)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))) (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 eps)) (sqrt.f64 (+.f64 1 eps))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (sqrt.f64 (+.f64 1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2) (+.f64 1 eps)) (cbrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (-.f64 1 eps) 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 eps) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (cbrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (sqrt.f64 (-.f64 1 eps)))) (sqrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (/.f64 (-.f64 1 (*.f64 eps eps)) (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2))) (cbrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 1 eps) (neg.f64 (-.f64 1 (*.f64 eps eps)))) (+.f64 -1 eps))
(*.f64 (/.f64 (-.f64 1 eps) (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (neg.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (-.f64 1 eps) (-.f64 (*.f64 eps eps) 1)) (-.f64 eps 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (-.f64 1 eps) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (+.f64 -1 eps) (neg.f64 (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(*.f64 (/.f64 (+.f64 -1 eps) (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 1 (pow.f64 eps 3))) (-.f64 1 (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps)))) (-.f64 1 (fma.f64 eps eps eps)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (pow.f64 (fma.f64 eps eps eps) 3))) (-.f64 (+.f64 1 (*.f64 (fma.f64 eps eps eps) (fma.f64 eps eps eps))) (fma.f64 eps eps eps)))
(*.f64 (/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (/.f64 (-.f64 1 eps) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps eps)))) (sqrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (/.f64 (-.f64 1 eps) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (-.f64 1 eps)))
(*.f64 (/.f64 (+.f64 1 (-.f64 eps (fma.f64 eps eps eps))) (*.f64 (+.f64 1 (pow.f64 eps 3)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (+.f64 (-.f64 1 eps) (*.f64 eps eps)) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(*.f64 (/.f64 (+.f64 1 (-.f64 eps (fma.f64 eps eps eps))) (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (-.f64 1 eps) 2))
(*.f64 (/.f64 (+.f64 1 (-.f64 eps (fma.f64 eps eps eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(*.f64 (/.f64 (+.f64 1 (-.f64 eps (fma.f64 eps eps eps))) (*.f64 (+.f64 1 eps) (+.f64 1 (pow.f64 eps 3)))) (+.f64 (-.f64 1 eps) (*.f64 eps eps)))
(*.f64 (/.f64 (+.f64 1 (-.f64 eps (fma.f64 eps eps eps))) (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (-.f64 1 eps) (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(neg.f64 (/.f64 (-.f64 1 eps) (-.f64 -1 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2 eps))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/3 (pow.f64 eps 3) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (/.f64 2/3 (pow.f64 eps 3)))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 eps 3))) (-.f64 (/.f64 -2 eps) (/.f64 2/5 (pow.f64 eps 5))))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) (fma.f64 -2 (pow.f64 eps 3) 1)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 eps) -1) (/.f64 2 (*.f64 eps eps)))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (+.f64 (/.f64 2 eps) -1) (/.f64 2 (*.f64 eps eps))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 2 (pow.f64 eps 3))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (/.f64 2 eps) -1) (/.f64 2 (*.f64 eps eps)))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 2 (*.f64 eps eps))))
(+.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 -2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (+.f64 (/.f64 2 eps) -1) (/.f64 2 (*.f64 eps eps))))
(-.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (pow.f64 eps 3))) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (+.f64 -1 (/.f64 2 eps)) (+.f64 (/.f64 (/.f64 -2 eps) eps) (/.f64 2 (pow.f64 eps 3))))
(+.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)) 0)
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (log1p.f64 (neg.f64 eps)) (log.f64 (/.f64 -1 (-.f64 -1 eps))))
(+.f64 (log1p.f64 (neg.f64 eps)) (neg.f64 (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 0 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log.f64 (/.f64 -1 (-.f64 -1 eps)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (log.f64 (cbrt.f64 (-.f64 1 eps)))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 eps))) (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (+.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (neg.f64 (log1p.f64 eps))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (log1p.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 eps)) 2)) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1 eps)))) (-.f64 (log.f64 (cbrt.f64 (-.f64 1 eps))) (log1p.f64 eps)))
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(pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 1)
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 2)
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))) 3)
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3) 1/3)
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (/.f64 (-.f64 -1 eps) (+.f64 -1 eps)) -1)
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))) (sqrt.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(neg.f64 (/.f64 (-.f64 1 eps) (-.f64 -1 eps)))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)) 2))
(fabs.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)))))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps)) 3))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(pow.f64 (E.f64) (-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 eps) (-.f64 -1 eps))))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))

localize7.0ms (0.1%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval144.0ms (2%)

Compiler

Compiled 4266 to 2784 computations (34.7% saved)

prune43.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2503253
Fresh000
Picked011
Done011
Total2505255
Error
0%
Counts
255 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0%
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
0.27%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
0.76%
(*.f64 -2 eps)
92.22%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
92.22%
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1)))
0.02%
(/.f64 -1 (-.f64 -1 eps))
7.54%
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
0.0ms
eps
@-inf
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
0.0ms
eps
@inf
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
0.0ms
eps
@inf
(/.f64 -1 (-.f64 -1 eps))
0.0ms
eps
@-inf
(/.f64 -1 (-.f64 -1 eps))

rewrite103.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1662×associate-/r/
1534×associate-/l*
552×associate-/l/
284×add-sqr-sqrt
278×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01279
127279
2398679
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
(/.f64 -1 (-.f64 -1 eps))
(-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1)))
Outputs
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eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 (+.f64 eps 1)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))))))

simplify118.0ms (1.6%)

Algorithm
egg-herbie
Rules
724×distribute-lft-in
710×associate-*r*
690×*-commutative
662×distribute-rgt-in
652×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065315531
1200314985
Stop Event
node limit
Counts
253 → 411
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
1
(+.f64 1 (*.f64 -1 eps))
(+.f64 (pow.f64 eps 2) (+.f64 1 (*.f64 -1 eps)))
(+.f64 (pow.f64 eps 2) (+.f64 1 (+.f64 (*.f64 -1 eps) (*.f64 -1 (pow.f64 eps 3)))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 1 eps)
(-.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (pow.f64 eps 2)))
(-.f64 (+.f64 (/.f64 1 eps) (/.f64 1 (pow.f64 eps 3))) (+.f64 (/.f64 1 (pow.f64 eps 4)) (/.f64 1 (pow.f64 eps 2))))
1
(+.f64 (*.f64 -2 eps) 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(-.f64 (log.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1)))))
(-.f64 (log.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (log.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))))))
(-.f64 (log.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps))) (log.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))) (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)))) (log.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)))) (log.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))) 1)
(*.f64 1 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(pow.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 1))
(log1p.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (-.f64 (/.f64 eps (-.f64 -1 eps)) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 eps)))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 eps 1)))
(*.f64 (/.f64 -1 (-.f64 -1 eps)) 1)
(*.f64 1 (/.f64 -1 (-.f64 -1 eps)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 1 (sqrt.f64 (+.f64 eps 1))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))))
(*.f64 (/.f64 -1 (+.f64 eps 1)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 eps))) (/.f64 -1 (sqrt.f64 (-.f64 -1 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))))
(*.f64 (/.f64 1 (fma.f64 eps eps -1)) (-.f64 eps 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 eps eps))) (*.f64 -1 (-.f64 eps 1)))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 eps 3))) (*.f64 -1 (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 -1 (-.f64 1 (*.f64 eps eps))) (-.f64 eps 1))
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(*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)) (+.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) eps))) (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) eps)))
(*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)) (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) (neg.f64 eps)))) (*.f64 (-.f64 -1 eps) (+.f64 eps 1)))
(*.f64 (/.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (-.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))) (*.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))
(*.f64 (/.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) 3))) (+.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))) (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2))) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))) (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 eps (pow.f64 (+.f64 eps 1) 2)))))))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 eps) (fma.f64 eps eps -1))) (-.f64 eps 1))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 eps) (+.f64 1 (pow.f64 eps 3)))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 eps 1))) (-.f64 eps 1))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (+.f64 eps 1))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (fma.f64 eps eps -1))) (*.f64 (-.f64 eps 1) (-.f64 eps 1)))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 1 (*.f64 eps eps)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (-.f64 eps 1) (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (fma.f64 eps eps -1))) (*.f64 (fma.f64 eps eps (-.f64 1 eps)) (-.f64 eps 1)))
(*.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (+.f64 1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (-.f64 1 eps)) (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) 1) (/.f64 -1 (-.f64 -1 eps)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (fma.f64 eps eps -1)) (-.f64 eps 1))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (neg.f64 (fma.f64 eps eps -1))) (neg.f64 (-.f64 eps 1)))
(*.f64 (/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (neg.f64 (+.f64 1 (pow.f64 eps 3)))) (neg.f64 (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (-.f64 -1 (pow.f64 eps 3)))) (*.f64 (fma.f64 eps eps (-.f64 1 eps)) (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (*.f64 (-.f64 eps 1) (-.f64 eps 1)))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 -1 eps) (-.f64 1 (*.f64 eps eps)))) (-.f64 eps 1))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 -1 eps) (-.f64 -1 (pow.f64 eps 3)))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 -1 eps))) (-.f64 eps 1))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (-.f64 -1 eps))) (fma.f64 eps eps (-.f64 1 eps)))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 -1 (pow.f64 eps 3)))) (*.f64 (-.f64 eps 1) (fma.f64 eps eps (-.f64 1 eps))))
(*.f64 (/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (*.f64 (-.f64 -1 (pow.f64 eps 3)) (-.f64 1 (*.f64 eps eps)))) (*.f64 (fma.f64 eps eps (-.f64 1 eps)) (-.f64 eps 1)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)) (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
(/.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (/.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(/.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (/.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (*.f64 (-.f64 -1 eps) (+.f64 eps 1)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (/.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (sqrt.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (sqrt.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)))))
(/.f64 (sqrt.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps))) (/.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1)) (sqrt.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (cbrt.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))) (/.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (cbrt.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (cbrt.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (cbrt.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps))) (cbrt.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)))) (/.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1)) (cbrt.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)))))
(/.f64 (/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (+.f64 eps 1))
(/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (*.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))
(/.f64 (-.f64 (*.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3))) (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (+.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 eps) 2) (*.f64 (*.f64 eps (-.f64 -1 eps)) (*.f64 eps (-.f64 -1 eps)))) (*.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1)) (*.f64 (-.f64 -1 eps) (+.f64 eps 1))))
(/.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))) (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (*.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))))
(/.f64 (+.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (-.f64 (*.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) (*.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) 3) (pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2)))) (+.f64 (*.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 3) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3)) (*.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 eps) 3) (pow.f64 (*.f64 eps (-.f64 -1 eps)) 3)) (*.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1)) (+.f64 (pow.f64 (-.f64 -1 eps) 2) (+.f64 (*.f64 (*.f64 eps (-.f64 -1 eps)) (*.f64 eps (-.f64 -1 eps))) (*.f64 (-.f64 -1 eps) (*.f64 eps (-.f64 -1 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) 3) (pow.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) 3)) (*.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))) (+.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2)) (*.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 eps 1) eps)) (-.f64 -1 eps)) (*.f64 (-.f64 -1 eps) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (-.f64 (+.f64 eps 1) (*.f64 (-.f64 -1 eps) (neg.f64 eps))) (pow.f64 (-.f64 -1 eps) 2))
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1)) (*.f64 (+.f64 eps 1) (/.f64 (+.f64 eps 1) eps)))
(/.f64 (-.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) (neg.f64 eps))) (*.f64 (-.f64 -1 eps) (+.f64 eps 1)))
(/.f64 (+.f64 eps (-.f64 1 (*.f64 (+.f64 eps 1) eps))) (pow.f64 (+.f64 eps 1) 2))
(/.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 2))) (neg.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1)))))
(/.f64 (neg.f64 (-.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (+.f64 eps 1)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 eps (+.f64 eps 1)) 2) (+.f64 (/.f64 eps (pow.f64 (+.f64 eps 1) 2)) (/.f64 1 (pow.f64 (+.f64 eps 1) 2))))))
(/.f64 (neg.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 eps 1) eps))) (neg.f64 (*.f64 (-.f64 -1 eps) (+.f64 eps 1))))
(pow.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(fma.f64 -1 (/.f64 -1 (+.f64 eps 1)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(+.f64 (log.f64 -1) (/.f64 -2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 -1 (/.f64 -1 (+.f64 eps 1)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 1 (+.f64 eps 1)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 1 (+.f64 eps 1)))
(fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 1 (sqrt.f64 (+.f64 eps 1))) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) 2) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 eps 1))) 2))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 3)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 eps)) 3)))

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2%
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(*.f64 -2/3 (pow.f64 eps 3))
0.0ms
eps
@-inf
(*.f64 -2/3 (pow.f64 eps 3))
0.0ms
eps
@inf
(*.f64 -2/3 (pow.f64 eps 3))

rewrite53.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1236×add-sqr-sqrt
1204×*-un-lft-identity
1142×add-cube-cbrt
1134×add-cbrt-cube
1118×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2159613
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))))))

simplify58.0ms (0.8%)

Algorithm
egg-herbie
Rules
1084×distribute-rgt-in
1068×distribute-lft-in
976×associate-*l/
900×associate-*r/
890×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
198209
2327143
31685143
46913143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 -2/3 (pow.f64 eps 3))) 1)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 (pow.f64 eps 3/2) (sqrt.f64 -2/3)) 2)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cbrt.f64 -2/3)) 3)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(sqrt.f64 (*.f64 (pow.f64 eps 6) 4/9))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log.f64 (pow.f64 (exp.f64 -2/3) (pow.f64 eps 3)))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 3))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(exp.f64 (log.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 1 (-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))

eval225.0ms (3.1%)

Compiler

Compiled 11661 to 8769 computations (24.8% saved)

prune70.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4241425
Fresh000
Picked011
Done134
Total4255430
Error
0%
Counts
430 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.27%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
0.76%
(*.f64 -2 eps)
92.22%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
92.21%
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
92.22%
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
Compiler

Compiled 53 to 42 computations (20.8% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
0.02%
(/.f64 -1 (-.f64 -1 eps))
0.03%
(/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))
7.54%
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
Compiler

Compiled 72 to 55 computations (23.6% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
0.0ms
eps
@-inf
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
0.0ms
eps
@inf
(/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))
0.0ms
eps
@0
(/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))
0.0ms
eps
@inf
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))

rewrite121.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1660×associate-/r/
1308×associate-/l*
978×distribute-lft-in
554×associate-/l/
274×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013103
129385
2382485
Stop Event
node limit
Counts
3 → 289
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
(/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))
(+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 -1)) (log.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))) (*.f64 1 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2))) (*.f64 -1 (log.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -2)))) (*.f64 -1 (log.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (/.f64 -1 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3))) (log.f64 (+.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (/.f64 (neg.f64 eps) (pow.f64 (-.f64 -1 eps) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 eps (-.f64 -1 eps)) (+.f64 1 eps))) (log.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2))) (log.f64 (/.f64 (-.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 -1)) (log.f64 (/.f64 -1 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3)))) (log.f64 (+.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (/.f64 (neg.f64 eps) (pow.f64 (-.f64 -1 eps) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 eps (-.f64 -1 eps)) (+.f64 1 eps)))) (log.f64 (pow.f64 (-.f64 -1 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2)))) (log.f64 (/.f64 (-.f64 -1 eps) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2))) (log.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -2)))) (log.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 1)))) (#(struct:change #<rule 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simplify152.0ms (2.1%)

Algorithm
egg-herbie
Rules
1326×associate-*r*
942×*-commutative
850×associate-*l*
820×associate-/r*
744×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078920235
1256517975
Stop Event
node limit
Counts
325 → 543
Calls
Call 1
Inputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
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(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) (*.f64 (*.f64 eps (-.f64 -1 eps)) (*.f64 eps (-.f64 -1 eps)))) (*.f64 (pow.f64 (-.f64 -1 eps) 2) (-.f64 (+.f64 1 eps) (*.f64 eps (-.f64 -1 eps)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (/.f64 1 (pow.f64 (-.f64 -1 eps) 2))) (*.f64 1 (-.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))))
(/.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (/.f64 1 (pow.f64 (-.f64 -1 eps) 2))) (*.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2))) (*.f64 (/.f64 (-.f64 -1 eps) (-.f64 -1 eps)) (+.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) 3) (pow.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (-.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (/.f64 (neg.f64 eps) (pow.f64 (-.f64 -1 eps) 2)))) (+.f64 (*.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3))) (-.f64 (*.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3)) (*.f64 (/.f64 -1 (pow.f64 (-.f64 -1 eps) 3)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 (*.f64 eps (-.f64 -1 eps)) 3)) (*.f64 (pow.f64 (-.f64 -1 eps) 2) (+.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) (-.f64 (*.f64 (*.f64 eps (-.f64 -1 eps)) (*.f64 eps (-.f64 -1 eps))) (*.f64 (+.f64 1 eps) (*.f64 eps (-.f64 -1 eps)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) 3) (pow.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) 3)) (*.f64 (/.f64 (-.f64 -1 eps) (-.f64 -1 eps)) (+.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (/.f64 1 (pow.f64 (-.f64 -1 eps) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2)) (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 eps) 2)) (pow.f64 (/.f64 eps (-.f64 -1 eps)) 2))))))
(/.f64 (+.f64 (/.f64 (-.f64 -1 eps) eps) (*.f64 (+.f64 1 eps) 1)) (*.f64 (+.f64 1 eps) (/.f64 (-.f64 -1 eps) eps)))
(/.f64 (+.f64 (/.f64 (-.f64 -1 eps) eps) (*.f64 (+.f64 1 eps) 1)) (*.f64 1 (*.f64 (+.f64 1 eps) (/.f64 (-.f64 -1 eps) eps))))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 1 eps) eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps)))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (+.f64 1 eps) eps)) (*.f64 1 (*.f64 (+.f64 1 eps) (-.f64 -1 eps))))
(/.f64 (+.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (neg.f64 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 eps)))
(/.f64 (+.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (neg.f64 eps))) (*.f64 1 (*.f64 (+.f64 1 eps) (+.f64 1 eps))))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 -1 (/.f64 (-.f64 -1 eps) eps))) (*.f64 (-.f64 -1 eps) (/.f64 (-.f64 -1 eps) eps)))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 -1 (/.f64 (-.f64 -1 eps) eps))) (*.f64 1 (*.f64 (-.f64 -1 eps) (/.f64 (-.f64 -1 eps) eps))))
(/.f64 (+.f64 (*.f64 (-.f64 -1 eps) (neg.f64 eps)) (*.f64 -1 (+.f64 1 eps))) (*.f64 (-.f64 -1 eps) (+.f64 1 eps)))
(/.f64 (+.f64 (*.f64 (-.f64 -1 eps) (neg.f64 eps)) (*.f64 -1 (+.f64 1 eps))) (*.f64 1 (*.f64 (-.f64 -1 eps) (+.f64 1 eps))))
(/.f64 (+.f64 (+.f64 1 eps) (*.f64 (/.f64 (-.f64 -1 eps) eps) 1)) (*.f64 (/.f64 (-.f64 -1 eps) eps) (+.f64 1 eps)))
(/.f64 (+.f64 (+.f64 1 eps) (*.f64 (/.f64 (-.f64 -1 eps) eps) 1)) (*.f64 1 (*.f64 (/.f64 (-.f64 -1 eps) eps) (+.f64 1 eps))))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (/.f64 (-.f64 -1 eps) eps) -1)) (*.f64 (/.f64 (-.f64 -1 eps) eps) (-.f64 -1 eps)))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 (/.f64 (-.f64 -1 eps) eps) -1)) (*.f64 1 (*.f64 (/.f64 (-.f64 -1 eps) eps) (-.f64 -1 eps))))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 eps (+.f64 1 eps))) (*.f64 (-.f64 -1 eps) (+.f64 1 eps)))
(/.f64 (+.f64 (-.f64 -1 eps) (*.f64 eps (+.f64 1 eps))) (*.f64 1 (*.f64 (-.f64 -1 eps) (+.f64 1 eps))))
(/.f64 (+.f64 (*.f64 (+.f64 1 eps) 1) (*.f64 (neg.f64 eps) (+.f64 1 eps))) (*.f64 (+.f64 1 eps) (+.f64 1 eps)))
(/.f64 (+.f64 (*.f64 (+.f64 1 eps) 1) (*.f64 (neg.f64 eps) (+.f64 1 eps))) (*.f64 1 (*.f64 (+.f64 1 eps) (+.f64 1 eps))))
(/.f64 (+.f64 (*.f64 (neg.f64 eps) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) -1)) (*.f64 (+.f64 1 eps) (-.f64 -1 eps)))
(/.f64 (+.f64 (*.f64 (neg.f64 eps) (-.f64 -1 eps)) (*.f64 (+.f64 1 eps) -1)) (*.f64 1 (*.f64 (+.f64 1 eps) (-.f64 -1 eps))))
(/.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2) -1) (/.f64 1 (pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -1/2) -1)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) -2)) -1) (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) -1)))
(pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) 1)
(pow.f64 (/.f64 1 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) -1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 1 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 -1 (/.f64 1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 eps (/.f64 1 (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 eps))) (sqrt.f64 (/.f64 -1 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (sqrt.f64 (/.f64 eps (-.f64 -1 eps))) (sqrt.f64 (/.f64 eps (-.f64 -1 eps))) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (-.f64 -1 eps))) 2) (cbrt.f64 (/.f64 eps (-.f64 -1 eps))) (/.f64 -1 (-.f64 -1 eps)))
Outputs
(*.f64 -2 eps)
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(fma.f64 -2 eps (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (*.f64 -2/3 (pow.f64 eps 3)))))
(fma.f64 -2 eps (fma.f64 -2/5 (pow.f64 eps 5) (fma.f64 -2/7 (pow.f64 eps 7) (*.f64 -2/3 (pow.f64 eps 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
(-.f64 (log.f64 -1) (/.f64 2 eps))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2 eps) (/.f64 2/3 (pow.f64 eps 3))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/3 (pow.f64 eps 3)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (/.f64 2/5 (pow.f64 eps 5)))))
(-.f64 (-.f64 (-.f64 (log.f64 -1) (/.f64 2 eps)) (/.f64 2/3 (pow.f64 eps 3))) (/.f64 2/5 (pow.f64 eps 5)))
1
(+.f64 (*.f64 2 eps) 1)
(fma.f64 2 eps 1)
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 2 eps (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (*.f64 2 eps) (+.f64 (*.f64 2 (pow.f64 eps 3)) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1)))
(fma.f64 2 eps (fma.f64 2 (pow.f64 eps 3) (fma.f64 2 (*.f64 eps eps) 1)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (/.f64 2 eps)))
(-.f64 -1 (/.f64 2 eps))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) 1) (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps))) (/.f64 2 (pow.f64 eps 3)))
-1
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) 1))
(neg.f64 (+.f64 1 (/.f64 2 eps)))
(-.f64 -1 (/.f64 2 eps))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 eps)) (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 eps 3)) 1) (+.f64 (/.f64 2 eps) (/.f64 2 (*.f64 eps eps)))))
(-.f64 (-.f64 -1 (+.f64 (/.f64 2 eps) (/.f64 (/.f64 2 eps) eps))) (/.f64 2 (pow.f64 eps 3)))
1
(+.f64 (*.f64 -2 eps) 1)
(fma.f64 -2 eps 1)
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) 1))
(fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -2 (pow.f64 eps 3)))))
(fma.f64 -2 eps (+.f64 (fma.f64 2 (*.f64 eps eps) 1) (*.f64 -2 (pow.f64 eps 3))))
(+.f64 (fma.f64 -2 eps (fma.f64 2 (*.f64 eps eps) 1)) (*.f64 -2 (pow.f64 eps 3)))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 (/.f64 2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 (/.f64 2 eps) eps))))
-1
(-.f64 (*.f64 2 (/.f64 1 eps)) 1)
(+.f64 (/.f64 2 eps) -1)
(+.f64 -1 (/.f64 2 eps))
(-.f64 (*.f64 2 (/.f64 1 eps)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps))))
(+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 (/.f64 2 eps) eps)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 eps 3))) (*.f64 2 (/.f64 1 eps))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (-.f64 (/.f64 2 eps) (+.f64 1 (/.f64 2 (*.f64 eps eps)))))
(+.f64 (/.f64 2 (pow.f64 eps 3)) (+.f64 (/.f64 2 eps) (-.f64 -1 (/.f64 (/.f64 2 eps) eps))))
(+.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 0)
(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))
(log.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))
(+.f64 0 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))
(log.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps))))) (log.f64 (cbrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 eps -1) (-.f64 -1 eps)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))) 2))) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))) 2)) (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1)))))
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(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(exp.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps)))) -1))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 -1 eps))))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 1 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(fma.f64 -1 (/.f64 1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 1 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 eps (/.f64 1 (-.f64 -1 eps)) (/.f64 -1 (-.f64 -1 eps)))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(/.f64 (+.f64 eps -1) (-.f64 -1 eps))
(fma.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 eps))) (sqrt.f64 (/.f64 -1 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (sqrt.f64 (/.f64 eps (-.f64 -1 eps))) (sqrt.f64 (/.f64 eps (-.f64 -1 eps))) (/.f64 -1 (-.f64 -1 eps)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 eps))) (/.f64 eps (-.f64 -1 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps (-.f64 -1 eps))) 2) (cbrt.f64 (/.f64 eps (-.f64 -1 eps))) (/.f64 -1 (-.f64 -1 eps)))

eval372.0ms (5.2%)

Compiler

Compiled 19597 to 15842 computations (19.2% saved)

prune135.0ms (1.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New6510651
Fresh000
Picked011
Done044
Total6515656
Error
0%
Counts
656 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.27%
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
0.76%
(*.f64 -2 eps)
92.22%
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
92.21%
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
92.22%
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
Compiler

Compiled 53 to 42 computations (20.8% saved)

regimes11.0ms (0.2%)

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

3 calls:

4.0ms
eps
3.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
ErrorSegmentsBranch
0%1eps
0%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 74 to 56 computations (24.3% saved)

regimes10.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(log.f64 (-.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (+.f64 eps 1))))
(log.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 -1 (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))
Outputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Calls

3 calls:

5.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
ErrorSegmentsBranch
0.27%1eps
0.27%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.27%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -58.8b remaining (-12049.8%)

Threshold costs -58.8b (-12049.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Outputs
(*.f64 -2 eps)
Calls

3 calls:

3.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
ErrorSegmentsBranch
0.76%1eps
0.76%1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.76%1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551
12451
22951
33251
43351
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (*.f64 eps -2) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
(*.f64 eps -2)
Compiler

Compiled 21 to 16 computations (23.8% saved)

soundness558.0ms (7.7%)

Algorithm
egg-herbie
Rules
1728×fma-def
1078×distribute-lft-in
796×associate-+r+
786×associate-+l-
774×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
12019
23019
34419
47319
510819
616819
732819
875719
9144819
10205419
11257819
12363819
13442819
14492219
15509819
16519819
17519819
18669219
19700819
20708619
21709419
22710219
23710219
24730219
25787819
Stop Event
node limit
Compiler

Compiled 42 to 29 computations (31% saved)

end24.0ms (0.3%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

Profiling

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