Details

Time bar (total: 8.3s)

analyze3.0s (36.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
1.6%98%0.4%11
1.6%98%0.4%12
1.6%98%0.4%13
1.6%98%0.4%14
Compiler

Compiled 41 to 29 computations (29.3% saved)

sample2.1s (25.1%)

Symmetry

(sort Ev EAccept)

Results
2.0s8256×body128valid
1.0msbody8192exit
Compiler

Compiled 122 to 86 computations (29.5% saved)

simplify93.0ms (1.1%)

Algorithm
egg-herbie
Rules
713×div-sub_binary64
583×exp-sum_binary64
502×exp-diff_binary64
464×exp-prod_binary64
370×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02846
15746
215844
343344
4103944
5218544
6370044
7491744
8499944
9497144
10507944

prune4.0ms (0.1%)

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 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
Compiler

Compiled 145 to 95 computations (34.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
0.0b
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
0.0b
(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

series413.0ms (5%)

Counts
4 → 252
Calls

4 calls:

293.0ms
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
68.0ms
(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
26.0ms
(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
25.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite51.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity_binary64
54×times-frac_binary64
54×add-sqr-sqrt_binary64
38×add-cube-cbrt_binary64
36×distribute-lft-out--_binary64
Counts
4 → 148
Calls

4 calls:

11.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
10.0ms
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))
9.0ms
(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
9.0ms
(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

simplify198.0ms (2.4%)

Algorithm
egg-herbie
Rules
737×associate-/l*_binary64
681×fma-def_binary64
272×*-commutative_binary64
259×+-commutative_binary64
200×associate-+r+_binary64
Counts
400 → 333
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097013599
1287713226
2574413226

prune357.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3321333
Fresh000
Picked011
Done000
Total3322334
Error
0b
Counts
334 → 2
Alt Table
StatusErrorProgram
14.7b
(+.f64 (cbrt.f64 (pow.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))) 3)) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
Compiler

Compiled 19204 to 6647 computations (65.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))
0.0b
(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)
0.0b
(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
21.8b
(cbrt.f64 (pow.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))) 3))

series636.0ms (7.7%)

Counts
3 → 204
Calls

3 calls:

311.0ms
(cbrt.f64 (pow.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))) 3))
300.0ms
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))
25.0ms
(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

rewrite55.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity_binary64
57×times-frac_binary64
49×add-sqr-sqrt_binary64
42×cbrt-prod_binary64
41×add-cube-cbrt_binary64
Counts
3 → 137
Calls

3 calls:

13.0ms
(cbrt.f64 (pow.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))) 3))
12.0ms
(/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT))))
9.0ms
(/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)

simplify217.0ms (2.6%)

Algorithm
egg-herbie
Rules
585×associate-/l*_binary64
504×associate-/r*_binary64
456×fma-def_binary64
201×*-commutative_binary64
143×+-commutative_binary64
Counts
341 → 175
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072315342
1214314842
2520714842

prune296.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2570257
Fresh000
Picked011
Done011
Total2572259
Error
0b
Counts
259 → 2
Alt Table
StatusErrorProgram
14.7b
(+.f64 (cbrt.f64 (pow.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 Ec (+.f64 Vef EDonor))) KbT)))) 3)) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))))
Compiler

Compiled 15190 to 5576 computations (63.3% saved)

regimes757.0ms (9.1%)

Accuracy

Total 0.0b remaining (1.7%)

Threshold costs 0.0b (1.7%)

Counts
49 → 1
Compiler

Compiled 18600 to 13188 computations (29.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
17×+-commutative_binary64
17×distribute-neg-in_binary64
14×cancel-sign-sub-inv_binary64
11×sub-neg_binary64
11×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02846
14946
26546
38944
411344
513044
613644
713744
813344

end81.0ms (1%)

Remove

(sort Ev EAccept)

Compiler

Compiled 231 to 159 computations (31.2% saved)

Profiling

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