Details

Time bar (total: 5.8s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample4.6s (78.9%)

Results
3.4s4099×body1024valid
602.0ms2122×body512valid
317.0ms421×body2048valid
238.0ms1614×body256valid
0.0msbody256invalid
Bogosity

preprocess4.0ms (0.1%)

Algorithm
egg-herbie
Rules
rational_best-simplify-56
rational_best-simplify-1
rational_best-simplify-17
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11523
011
Stop Event
saturated
saturated
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)))
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
rational_best-simplify-56
rational_best-simplify-1
rational_best-simplify-17
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11523
Stop Event
saturated
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)))
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))

eval1.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
58.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
58.9b
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 eps) (-.f64 eps -1))
4.7b
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1088×rational_best-simplify-53
898×rational_best-4
898×rational_best-2
898×rational_best-3
898×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
16542
211142
317742
431842
587042
6326242
7533542
8660242
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
(/.f64 (-.f64 1 eps) (-.f64 eps -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 eps (+.f64 1 eps)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -1 (/.f64 2 (-.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 (/.f64 eps (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 1 (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))) (*.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 2) (-.f64 1 (/.f64 2 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 0 (/.f64 (+.f64 eps -2) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 1 (*.f64 eps -2))) (/.f64 eps (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (/.f64 (+.f64 eps -2) (-.f64 -1 eps))) (/.f64 1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) 2)) (-.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (*.f64 (/.f64 1 (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (/.f64 2 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (/.f64 2 (+.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 (/.f64 eps (-.f64 -1 eps)) (/.f64 1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 0 (/.f64 (+.f64 eps -2) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 eps)) (/.f64 (+.f64 eps -2) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (/.f64 2 (-.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 -1 (-.f64 1 (/.f64 2 (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 -1 (+.f64 eps (+.f64 2 (*.f64 eps -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (+.f64 (neg.f64 eps) (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps -1) (/.f64 1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps -1) (+.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (-.f64 -1 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 eps)) (-.f64 -1 (+.f64 eps (*.f64 eps -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 (+.f64 (neg.f64 eps) (+.f64 eps eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (-.f64 -1 eps)) 2)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (+.f64 eps (+.f64 2 (*.f64 eps -2)))) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (neg.f64 eps) (+.f64 eps eps))) (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 eps (*.f64 eps -2))) (/.f64 1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (neg.f64 eps) (+.f64 eps eps)) -1) (/.f64 1 (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))))))))

simplify224.0ms (3.9%)

Algorithm
egg-herbie
Rules
906×rational_best-simplify-1
902×rational_best-simplify-2
682×rational_best-simplify-44
652×rational_best-simplify-36
612×rational_best-simplify-41
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
01502129
12452129
23342099
34252099
45142099
55842099
66672099
77512099
88522099
99962099
1011202099
1113032099
1222502099
1343661841
1469021841
Stop Event
node limit
Counts
77 → 107
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 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 0)
(+.f64 0 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))))
(-.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 0)
(*.f64 1 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))))
(*.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)
(/.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)
(pow.f64 (log.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps)))) 1)
(+.f64 1 (*.f64 (/.f64 eps (+.f64 1 eps)) -2))
(+.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2))
(+.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 0)
(+.f64 0 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))))
(+.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (-.f64 -1 eps)))
(+.f64 (/.f64 eps (+.f64 1 eps)) (*.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 1 (*.f64 eps -2))))
(+.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))) (*.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 2))
(+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 1 (+.f64 1 eps)))
(+.f64 (*.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 2) (-.f64 1 (/.f64 2 (+.f64 1 eps))))
(+.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 0 (/.f64 (+.f64 eps -2) (-.f64 -1 eps))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) -1)
(+.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) -2) 1)
(+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 1 (*.f64 eps -2))) (/.f64 eps (+.f64 1 eps)))
(+.f64 (+.f64 0 (/.f64 (+.f64 eps -2) (-.f64 -1 eps))) (/.f64 1 (-.f64 -1 eps)))
(+.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) 2)) (-.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2)))
(+.f64 (-.f64 -1 (*.f64 (/.f64 1 (+.f64 1 eps)) 2)) (+.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) (*.f64 (/.f64 1 (+.f64 1 eps)) 2)))
(-.f64 -1 (*.f64 (/.f64 1 (-.f64 -1 eps)) 2))
(-.f64 -1 (/.f64 2 (-.f64 -1 eps)))
(-.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 0)
(-.f64 0 (-.f64 1 (/.f64 2 (+.f64 1 eps))))
(-.f64 (/.f64 1 (+.f64 1 eps)) (/.f64 eps (+.f64 1 eps)))
(-.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 1 (-.f64 -1 eps)))
(-.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 0 (/.f64 (+.f64 eps -2) (+.f64 1 eps))))
(-.f64 (/.f64 1 (-.f64 -1 eps)) (/.f64 (+.f64 eps -2) (+.f64 1 eps)))
(-.f64 (*.f64 (/.f64 1 (+.f64 1 eps)) 2) 1)
(-.f64 (*.f64 (/.f64 eps (+.f64 1 eps)) -2) -1)
(*.f64 1 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))))
(*.f64 (-.f64 1 eps) (/.f64 1 (+.f64 1 eps)))
(*.f64 -1 (-.f64 1 (/.f64 2 (+.f64 1 eps))))
(*.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 1)
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 eps))
(*.f64 (/.f64 1 (+.f64 1 eps)) (+.f64 -1 (+.f64 eps (+.f64 2 (*.f64 eps -2)))))
(*.f64 (/.f64 1 (+.f64 1 eps)) (-.f64 1 (+.f64 (neg.f64 eps) (+.f64 eps eps))))
(*.f64 (+.f64 eps -1) (/.f64 1 (-.f64 -1 eps)))
(*.f64 (+.f64 eps -1) (+.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (-.f64 -1 eps)) 2)))
(*.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))) -1)
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 eps -1))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (-.f64 -1 (+.f64 eps (*.f64 eps -2))))
(*.f64 (/.f64 1 (-.f64 -1 eps)) (+.f64 (+.f64 (neg.f64 eps) (+.f64 eps eps)) -1))
(*.f64 (+.f64 (/.f64 1 (+.f64 1 eps)) (*.f64 (/.f64 1 (-.f64 -1 eps)) 2)) (+.f64 eps -1))
(*.f64 (+.f64 -1 (+.f64 eps (+.f64 2 (*.f64 eps -2)))) (/.f64 1 (+.f64 1 eps)))
(*.f64 (-.f64 1 (+.f64 (neg.f64 eps) (+.f64 eps eps))) (/.f64 1 (+.f64 1 eps)))
(*.f64 (-.f64 -1 (+.f64 eps (*.f64 eps -2))) (/.f64 1 (-.f64 -1 eps)))
(*.f64 (+.f64 (+.f64 (neg.f64 eps) (+.f64 eps eps)) -1) (/.f64 1 (-.f64 -1 eps)))
(pow.f64 (-.f64 -1 (/.f64 2 (-.f64 -1 eps))) 1)
(neg.f64 (-.f64 1 (/.f64 2 (+.f64 1 eps))))
Outputs
(*.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 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))))
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2 eps) (*.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)))))
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/7 (pow.f64 eps 7)) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5)))))
(+.f64 (*.f64 -2 eps) (+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/5 (pow.f64 eps 5))) (*.f64 -2/7 (pow.f64 eps 7))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7)))))
(+.f64 (+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7))))
(+.f64 (*.f64 -2 eps) (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2/7 (pow.f64 eps 7)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (*.f64 2 (/.f64 1 eps)))
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eval57.0ms (1%)

Compiler

Compiled 1452 to 1212 computations (16.5% saved)

prune14.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh000
Picked011
Done000
Total1044108
Error
0b
Counts
108 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
0.4b
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
0.7b
(*.f64 -2 eps)
58.9b
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
Compiler

Compiled 45 to 36 computations (20% saved)

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize85.0ms (1.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.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
1.0ms
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))

rewrite11.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
12×rational_best-simplify-2
10×rational_best-4
10×rational_best-2
10×rational_best-3
10×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
14513
26613
36713
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(*.f64 -2/3 (pow.f64 eps 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)))))

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
rational_best-simplify-2
rational_best-simplify-7
rational_best-simplify-4
rational_best-simplify-49
exponential-simplify-11
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
11665
22165
32265
Stop Event
saturated
Counts
5 → 6
Calls
Call 1
Inputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(/.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
Outputs
(+.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2/3 (pow.f64 eps 3))
(-.f64 (*.f64 -2/3 (pow.f64 eps 3)) 0)
(*.f64 -2/3 (pow.f64 eps 3))
(/.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 -2/3 (pow.f64 eps 3))
(pow.f64 (*.f64 -2/3 (pow.f64 eps 3)) 1)
(*.f64 -2/3 (pow.f64 eps 3))

localize29.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2/5 (pow.f64 eps 5))
0.0b
(*.f64 -2/7 (pow.f64 eps 7))
0.1b
(*.f64 -2/3 (pow.f64 eps 3))
Compiler

Compiled 77 to 61 computations (20.8% saved)

series91.0ms (1.6%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
89.0ms
eps
@0
(*.f64 -2/7 (pow.f64 eps 7))
0.0ms
eps
@0
(*.f64 -2/5 (pow.f64 eps 5))
0.0ms
eps
@-inf
(*.f64 -2/7 (pow.f64 eps 7))
0.0ms
eps
@inf
(*.f64 -2/7 (pow.f64 eps 7))
0.0ms
eps
@inf
(*.f64 -2/5 (pow.f64 eps 5))

rewrite12.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
18×rational_best-simplify-2
14×rational_best-4
14×rational_best-2
14×rational_best-3
14×rational_best-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
17026
29626
39826
Stop Event
saturated
Counts
2 → 10
Calls
Call 1
Inputs
(*.f64 -2/7 (pow.f64 eps 7))
(*.f64 -2/5 (pow.f64 eps 5))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/7 (pow.f64 eps 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)))))

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
rational_best-simplify-2
rational_best-simplify-7
rational_best-simplify-4
rational_best-simplify-49
exponential-simplify-11
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023130
127130
234130
336130
Stop Event
saturated
Counts
10 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)
(+.f64 0 (*.f64 -2/7 (pow.f64 eps 7)))
(-.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)
(/.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)
(pow.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(+.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))
(-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(/.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
Outputs
(+.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 0 (*.f64 -2/7 (pow.f64 eps 7)))
(*.f64 -2/7 (pow.f64 eps 7))
(-.f64 (*.f64 -2/7 (pow.f64 eps 7)) 0)
(*.f64 -2/7 (pow.f64 eps 7))
(/.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)
(*.f64 -2/7 (pow.f64 eps 7))
(pow.f64 (*.f64 -2/7 (pow.f64 eps 7)) 1)
(*.f64 -2/7 (pow.f64 eps 7))
(+.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(+.f64 0 (*.f64 -2/5 (pow.f64 eps 5)))
(*.f64 -2/5 (pow.f64 eps 5))
(-.f64 (*.f64 -2/5 (pow.f64 eps 5)) 0)
(*.f64 -2/5 (pow.f64 eps 5))
(/.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(*.f64 -2/5 (pow.f64 eps 5))
(pow.f64 (*.f64 -2/5 (pow.f64 eps 5)) 1)
(*.f64 -2/5 (pow.f64 eps 5))

eval9.0ms (0.2%)

Compiler

Compiled 473 to 389 computations (17.8% saved)

prune74.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done033
Total24428
Error
0b
Counts
28 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
0.4b
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
0.7b
(*.f64 -2 eps)
58.9b
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
Compiler

Compiled 45 to 36 computations (20% saved)

regimes10.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
Outputs
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
Calls

3 calls:

4.0ms
eps
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Results
ErrorSegmentsBranch
0.2b1eps
0.2b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.2b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes9.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 -2 eps)
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
(log.f64 (/.f64 (-.f64 1 eps) (-.f64 eps -1)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Outputs
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
Calls

3 calls:

4.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
ErrorSegmentsBranch
0.4b1eps
0.4b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.4b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 48 to 36 computations (25% saved)

regimes47.0ms (0.8%)

Accuracy

Total -58.7b remaining (-8179.2%)

Threshold costs -58.7b (-8179.2%)

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

3 calls:

42.0ms
eps
2.0ms
(/.f64 (-.f64 1 eps) (+.f64 1 eps))
2.0ms
(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
Results
ErrorSegmentsBranch
0.7b1eps
0.7b1(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
0.7b1(/.f64 (-.f64 1 eps) (+.f64 1 eps))
Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02193
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Outputs
(+.f64 (+.f64 (*.f64 -2/3 (pow.f64 eps 3)) (*.f64 -2/7 (pow.f64 eps 7))) (+.f64 (*.f64 -2/5 (pow.f64 eps 5)) (*.f64 -2 eps)))
(+.f64 (*.f64 -2 eps) (*.f64 -2/3 (pow.f64 eps 3)))
(*.f64 -2 eps)
Compiler

Compiled 36 to 29 computations (19.4% saved)

soundness389.0ms (6.7%)

Algorithm
egg-herbie
Rules
906×rational_best-simplify-1
902×rational_best-simplify-2
682×rational_best-simplify-44
652×rational_best-simplify-36
612×rational_best-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11523
01502129
12452129
23342099
34252099
45142099
55842099
66672099
77512099
88522099
99962099
1011202099
1113032099
1222502099
1343661841
1469021841
Stop Event
node limit
saturated
Compiler

Compiled 81 to 65 computations (19.8% saved)

end29.0ms (0.5%)

Compiler

Compiled 34 to 27 computations (20.6% saved)

Profiling

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