Details

Time bar (total: 10.6s)

sample56.0ms

Algorithm
intervals
Results
35.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

rewrite844.0ms

Algorithm
rewrite-expression-head
Rules
213×*-un-lft-identity
93×times-frac
75×add-sqr-sqrt
59×add-cube-cbrt
53×distribute-lft-out
48×distribute-lft-out--
40×distribute-rgt-neg-in
30×associate-/l*
28×distribute-lft-neg-in
10×add-exp-log associate-/r* add-cbrt-cube
8×difference-of-squares
6×add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u associate-/l/
3×cbrt-undiv fma-def frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
2×neg-sub0 associate-/r/ distribute-neg-frac
1×+-commutative associate-+r- flip3-- distribute-frac-neg unsub-neg sum-log flip--
Counts
4 → 203
Calls
4 calls:
221.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
214.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
142.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
257.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series305.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
126.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
55.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
58.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify62.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06871963
124191845
250021820

prune891.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (- (+ (+ Ev Vef) EAccept) mu) (cbrt KbT)) (cbrt KbT))
0.5b
(cbrt KbT)
0.5b
(cbrt KbT)
0.5b
(cbrt KbT)

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
626×*-un-lft-identity
570×times-frac
332×add-sqr-sqrt
297×cbrt-prod
248×add-cube-cbrt
126×distribute-lft-out distribute-lft-out--
46×associate-/l*
42×difference-of-squares
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×div-sub
1×frac-2neg clear-num associate-/l/
Counts
4 → 385
Calls
4 calls:
142.0ms
(/ (/ (- (+ (+ Ev Vef) EAccept) mu) (cbrt KbT)) (cbrt KbT))
0.0ms
(cbrt KbT)
0.0ms
(cbrt KbT)
1.0ms
(cbrt KbT)

series835.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(/ (/ (- (+ (+ Ev Vef) EAccept) mu) (cbrt KbT)) (cbrt KbT))
182.0ms
(cbrt KbT)
175.0ms
(cbrt KbT)
177.0ms
(cbrt KbT)

simplify109.0ms

Algorithm
egg-herbie
Counts
397 → 397
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
08795642
137005459
250025249

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.3b
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.3b
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.4b
(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
110.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
109.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
110.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
878.0ms
(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
316.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
317.0ms
(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
448.0ms
(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06004468
119334324
250024095

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s7998×body80valid
1.0ms1×body10240exit
1.0ms2×body640valid