Details

Time bar (total: 4.0s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample3.5s (87.8%)

Results
2.2s4105×body1024valid
683.0ms2079×body512valid
323.0ms424×body2048valid
213.0ms1027×body256valid
76.0ms621×body128valid
Compiler

Compiled 20 to 16 computations (20% saved)

preprocess65.0ms (1.6%)

Algorithm
egg-herbie
Rules
1088×fma-neg_binary64
868×fma-def_binary64
300×associate--r-_binary64
263×distribute-rgt-in_binary64
260×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11810
22810
34110
47110
510310
615710
729010
860110
9103210
10143910
11198310
12271510
13380110
14463610
15473410
16476610
17476610
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 9 to 7 computations (22.2% saved)

simplify58.0ms (1.4%)

Algorithm
egg-herbie
Rules
1088×fma-neg_binary64
868×fma-def_binary64
300×associate--r-_binary64
263×distribute-rgt-in_binary64
260×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11810
22810
34110
47110
510310
615710
729010
860110
9103210
10143910
11198310
12271510
13380110
14463610
15473410
16476610
17476610
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))

prune12.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@-inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
1.0ms
eps
@inf
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite36.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
519×pow1_binary64
484×add-log-exp_binary64
484×expm1-log1p-u_binary64
482×log1p-expm1-u_binary64
475×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11308
218628
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 eps) (*.f64 (neg.f64 (log1p.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (log1p.f64 eps)) 1 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 eps))) (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 eps))) (sqrt.f64 (log1p.f64 eps)) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 eps)) (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2)) (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (/.f64 1 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))) (-.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))) (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps)) (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2)) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (log1p.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (log1p.f64 eps) (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (pow.f64 (log1p.f64 eps) 2))) (neg.f64 (+.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 eps) 3) (pow.f64 (neg.f64 (log1p.f64 eps)) 3)) (+.f64 (pow.f64 (log1p.f64 eps) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps))) (*.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 eps) 2) (*.f64 (neg.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))) (-.f64 (log1p.f64 eps) (neg.f64 (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 eps 1) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 eps) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 eps)) 2) (cbrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 eps)) (sqrt.f64 (log1p.f64 eps)) (neg.f64 (log1p.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 eps) (log1p.f64 eps))))))))

simplify31.0ms (0.8%)

Algorithm
egg-herbie
Rules
550×fma-neg_binary64
446×sub-neg_binary64
285×cancel-sign-sub-inv_binary64
218×distribute-neg-in_binary64
195×associate-+l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048186
1148180
2439174
31507174
43974174
Stop Event
node limit
Counts
47 → 57
Calls
Call 1
Inputs
(*.f64 -2 eps)
(neg.f64 (+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3))))
(neg.f64 (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
(neg.f64 (+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.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 2/5 (/.f64 1 (pow.f64 eps 5))) (*.f64 2 (/.f64 1 eps)))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)))
(neg.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))))
(neg.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)))))
Outputs
(*.f64 -2 eps)
(neg.f64 (+.f64 (*.f64 2 eps) (*.f64 2/3 (pow.f64 eps 3))))
(neg.f64 (fma.f64 2 eps (*.f64 2/3 (pow.f64 eps 3))))
(+.f64 (*.f64 -2 eps) (*.f64 (pow.f64 eps 3) -2/3))
(fma.f64 -2 eps (*.f64 (pow.f64 eps 3) -2/3))
(neg.f64 (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
(neg.f64 (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))
(-.f64 (*.f64 -2 eps) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))
(fma.f64 -2 eps (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 (pow.f64 eps 5) -2/5)))
(fma.f64 (pow.f64 eps 3) -2/3 (fma.f64 (pow.f64 eps 5) -2/5 (*.f64 -2 eps)))
(neg.f64 (+.f64 (*.f64 2/7 (pow.f64 eps 7)) (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))))
(neg.f64 (fma.f64 2/7 (pow.f64 eps 7) (fma.f64 2 eps (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3))))))
(-.f64 (*.f64 (pow.f64 eps 7) -2/7) (fma.f64 eps 2 (fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 7) -2/7 (fma.f64 -2 eps (fma.f64 (pow.f64 eps 3) -2/3 (*.f64 (pow.f64 eps 5) -2/5))))
(fma.f64 (pow.f64 eps 7) -2/7 (fma.f64 (pow.f64 eps 3) -2/3 (fma.f64 (pow.f64 eps 5) -2/5 (*.f64 -2 eps))))
(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 (log.f64 -1) (+.f64 (/.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 2/5 (/.f64 1 (pow.f64 eps 5))) (*.f64 2 (/.f64 1 eps)))))
(-.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 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (/.f64 2/5 (pow.f64 eps 5)))) (/.f64 2 eps))
(+.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 (/.f64 -2 eps) (/.f64 -2/3 (pow.f64 eps 3))) (/.f64 -2/5 (pow.f64 eps 5))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)))
(neg.f64 (+.f64 (log.f64 -1) (/.f64 2 eps)))
(-.f64 (/.f64 -2 eps) (log.f64 -1))
(neg.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1))))
(neg.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (log.f64 -1) (/.f64 2 eps))))
(+.f64 (-.f64 (/.f64 -2 eps) (log.f64 -1)) (/.f64 -2/3 (pow.f64 eps 3)))
(+.f64 (/.f64 -2 eps) (-.f64 (/.f64 -2/3 (pow.f64 eps 3)) (log.f64 -1)))
(neg.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 eps 3))) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 eps 5))) (+.f64 (*.f64 2 (/.f64 1 eps)) (log.f64 -1)))))
(neg.f64 (+.f64 (/.f64 2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (log.f64 -1) (/.f64 2 eps)))))
(-.f64 (/.f64 -2/3 (pow.f64 eps 3)) (+.f64 (/.f64 2/5 (pow.f64 eps 5)) (+.f64 (log.f64 -1) (/.f64 2 eps))))
(+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2 eps) (-.f64 (log.f64 -1) (/.f64 -2/5 (pow.f64 eps 5)))))
(+.f64 (/.f64 -2 eps) (+.f64 (/.f64 -2/3 (pow.f64 eps 3)) (-.f64 (/.f64 -2/5 (pow.f64 eps 5)) (log.f64 -1))))

prune23.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
0.1b
(neg.f64 (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 770 to 425 computations (44.8% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))
0.1b
(*.f64 2/5 (pow.f64 eps 5))
0.1b
(*.f64 2/3 (pow.f64 eps 3))

series5.0ms (0.1%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 2/3 (pow.f64 eps 3))
1.0ms
eps
@0
(*.f64 2/5 (pow.f64 eps 5))
1.0ms
eps
@inf
(+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))
1.0ms
eps
@inf
(*.f64 2/3 (pow.f64 eps 3))
1.0ms
eps
@inf
(*.f64 2/5 (pow.f64 eps 5))

rewrite49.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
476×log-prod_binary64
299×fma-def_binary64
196×expm1-udef_binary64
196×log1p-udef_binary64
157×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
124728
2286728
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 eps 3))
(*.f64 2/5 (pow.f64 eps 5))
(+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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)))) (#(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 (*.f64 (sqrt.f64 2/3) (pow.f64 eps 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 eps 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 (fma.f64 3 (log.f64 eps) (log.f64 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 eps) (log.f64 2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5))) (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 eps 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 eps 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 10) 4/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -3/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 eps) (log1p.f64 -3/5)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 eps 10) 4/25) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))) (/.f64 (*.f64 (pow.f64 eps 6) 4/9) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) (sqrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9))) (/.f64 1 (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))) (fma.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))) (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125)) (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125)) (fma.f64 (pow.f64 eps 6) 4/9 (-.f64 (*.f64 (pow.f64 eps 10) 4/25) (*.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9))) (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 eps 3) 3) 8/27 (*.f64 (pow.f64 (pow.f64 eps 5) 3) 8/125))) (neg.f64 (-.f64 (fma.f64 (pow.f64 eps 10) 4/25 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 eps 10) 4/25 (neg.f64 (*.f64 (pow.f64 eps 6) 4/9)))) (neg.f64 (fma.f64 2/5 (pow.f64 eps 5) (*.f64 -2/3 (pow.f64 eps 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 eps 6) 4/9) (*.f64 (pow.f64 eps 10) 4/25)) (-.f64 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 eps 3)))) (pow.f64 (exp.f64 2/5) (pow.f64 eps 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (pow.f64 eps 3)) (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 eps 3)))) (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5)))) (pow.f64 (exp.f64 2/3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2/5) (pow.f64 eps 5)) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 eps 5)))) (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 eps 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 (*.f64 eps eps) 2/3) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) 2/3 (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 eps 3)) 1 (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/5 (pow.f64 eps 5) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5) 2/5 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (pow.f64 eps 5)) 1 (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (pow.f64 eps 3)) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (*.f64 eps 2/3) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 10)) (*.f64 (cbrt.f64 (pow.f64 eps 5)) 2/5) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 2/3)) (cbrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 6) 4/9)) (*.f64 eps (cbrt.f64 2/3)) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 eps 5))) (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps 10) 4/25)) (cbrt.f64 (*.f64 2/5 (pow.f64 eps 5))) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 eps 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 eps 3/2)) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 eps 5/2)) (*.f64 (sqrt.f64 2/5) (pow.f64 eps 5/2)) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3/2) (*.f64 (pow.f64 eps 3/2) 2/3) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 5/2) (*.f64 (pow.f64 eps 5/2) 2/5) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 eps) (*.f64 eps eps) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 eps eps)) eps (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (pow.f64 eps 3/2)) (pow.f64 eps 3/2) (*.f64 2/5 (pow.f64 eps 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (cbrt.f64 (pow.f64 eps 10))) (cbrt.f64 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/5 (pow.f64 eps 5/2)) (pow.f64 eps 5/2) (*.f64 2/3 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 eps 3) (*.f64 2/5 (pow.f64 eps 5)))) 1))))))

simplify53.0ms (1.3%)

Algorithm
egg-herbie
Rules
828×sqr-pow_binary64
416×unswap-sqr_binary64
388×pow-sqr_binary64
332×cube-prod_binary64
241×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12421
25021
39921
421421
562221
691221
7154821
8165621
9181821
10203521
11236521
12282121
13341821
14416921
Stop Event
node limit
Counts
94 → 93
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 eps 3))
(*.f64 2/5 (pow.f64 eps 5))
(*.f64 2/5 (pow.f64 eps 5))
Outputs
(*.f64 2/3 (pow.f64 eps 3))
(*.f64 2/5 (pow.f64 eps 5))
(*.f64 2/5 (pow.f64 eps 5))

prune76.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295
Error
0b
Counts
95 → 2
Alt Table
StatusErrorProgram
0.1b
(neg.f64 (+.f64 (*.f64 2 eps) (+.f64 (*.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
0.0b
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Compiler

Compiled 2024 to 1670 computations (17.5% saved)

regimes18.0ms (0.4%)

Accuracy

Total 0.0b remaining (66.1%)

Threshold costs 0.0b (66.1%)

Counts
11 → 1
Compiler

Compiled 144 to 112 computations (22.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21710
32010
42110
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
Outputs
(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

end41.0ms (1%)

Stop Event
done
Compiler

Compiled 38 to 29 computations (23.7% saved)

Profiling

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