Details

Time bar (total: 23.7s)

analyze2.0s (8.3%)

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
24.9%74.7%0.4%8
24.9%74.7%0.4%9
24.9%74.7%0.4%10
25.7%73.9%0.4%11
25.7%73.9%0.4%12
25.7%73.9%0.4%13
25.7%73.9%0.4%14
Compiler

Compiled 41 to 29 computations (29.3% saved)

sample107.0ms (0.5%)

Algorithm
intervals
Symmetry

(sort Ev EAccept)

Results
28.0ms256×body128valid
Compiler

Compiled 90 to 66 computations (26.7% saved)

simplify93.0ms (0.4%)

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%)

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 (0.1%)

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

series617.0ms (2.6%)

Counts
4 → 252
Calls

4 calls:

471.0ms
(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
71.0ms
(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
51.0ms
(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
23.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite50.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity_binary64
54×times-frac_binary64
51×add-sqr-sqrt_binary64
42×distribute-lft-out--_binary64
37×add-cube-cbrt_binary64
Counts
4 → 136
Calls

4 calls:

12.0ms
(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
10.0ms
(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
9.0ms
(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
8.0ms
(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))

simplify232.0ms (1%)

Algorithm
egg-herbie
Rules
667×associate-/l*_binary64
665×fma-def_binary64
284×+-commutative_binary64
255×*-commutative_binary64
221×associate-+r+_binary64
Counts
388 → 338
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094815106
1294014730
2575814730

prune504.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3362338
Fresh000
Picked101
Done000
Total3372339
Error
0.0b
Counts
339 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (cbrt.f64 (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)))))
0.1b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar)))
Compiler

Compiled 22080 to 7913 computations (64.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series1.8s (7.4%)

Counts
1 → 60
Calls

1 calls:

1.8s
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

rewrite22.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×cbrt-prod_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
pow1_binary64
Counts
1 → 45
Calls

1 calls:

18.0ms
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))))

simplify108.0ms (0.5%)

Algorithm
egg-herbie
Rules
485×associate-+r+_binary64
367×fma-def_binary64
285×times-frac_binary64
281×+-commutative_binary64
276×associate-+l+_binary64
Counts
105 → 110
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03504969
110974496
245414194
351044194

prune906.0ms (3.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New7201721
Fresh011
Picked101
Done000
Total7212723
Error
0.0b
Counts
723 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (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)))))
0.1b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar)))
Compiler

Compiled 58438 to 14728 computations (74.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)
0.0b
(pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))
0.0b
(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.2b
(cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))

series1.7s (7%)

Counts
3 → 180
Calls

3 calls:

1.6s
(cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))
59.0ms
(pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))
22.0ms
(/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)

rewrite26.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity_binary64
36×times-frac_binary64
28×distribute-lft-out_binary64
28×add-sqr-sqrt_binary64
28×add-cube-cbrt_binary64
Counts
3 → 106
Calls

3 calls:

8.0ms
(pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))
7.0ms
(/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)
4.0ms
(cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))

simplify138.0ms (0.6%)

Algorithm
egg-herbie
Rules
693×fma-def_binary64
487×times-frac_binary64
342×associate-/l*_binary64
323×associate-/r*_binary64
217×+-commutative_binary64
Counts
286 → 241
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06439468
121029323
251189323

prune680.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3281329
Fresh011
Picked101
Done000
Total3292331
Error
0.0b
Counts
331 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))))) (cbrt.f64 (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)))))
0.1b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar)))
Compiler

Compiled 24218 to 8839 computations (63.5% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))
0.0b
(exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT))
0.2b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))))
0.2b
(cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))

series1.8s (7.5%)

Counts
1 → 60
Calls

1 calls:

1.8s
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))))

rewrite21.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
19×cbrt-div_binary64
12×pow-sub_binary64
12×div-sub_binary64
12×associate-+r-_binary64
associate-*l/_binary64
Counts
1 → 19
Calls

1 calls:

18.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))))

simplify148.0ms (0.6%)

Algorithm
egg-herbie
Rules
482×associate-+r+_binary64
348×fma-def_binary64
327×times-frac_binary64
282×+-commutative_binary64
277×associate-+l+_binary64
Counts
79 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03553794
110763768
243443728
349923728
449923728

prune1.7s (7.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6681669
Fresh011
Picked101
Done000
Total6692671
Error
0.0b
Counts
671 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 NdChar (+.f64 1 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (+.f64 EDonor (-.f64 (+.f64 Vef mu) Ec)) KbT)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (/.f64 (+.f64 (-.f64 (+.f64 Vef mu) Ec) EDonor) KbT) (sqrt.f64 2)))))) (cbrt.f64 (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)))))
0.1b
(+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) NaChar)))
Compiler

Compiled 71527 to 27276 computations (61.9% saved)

regimes9.7s (41.1%)

Accuracy

Total 0.0b remaining (26.7%)

Threshold costs 0.0b (26.7%)

Counts
583 → 1
Compiler

Compiled 380820 to 234588 computations (38.4% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
18×+-commutative_binary64
12×sub-neg_binary64
10×distribute-neg-in_binary64
10×cancel-sign-sub-inv_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046121
166121
285121
3106121
4129121
5137121
6133121

end8.0ms (0%)

Remove

(sort Ev EAccept)

Compiler

Compiled 258 to 153 computations (40.7% saved)

sample1.3s (5.5%)

Algorithm
intervals
Results
812.0ms7998×body128valid
0.0msbody256valid
Compiler

Compiled 262 to 170 computations (35.1% saved)

Profiling

Loading profile data...