Details

Time bar (total: 15.2s)

sample46.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142217
5272617
6500117
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
191×*-un-lft-identity
92×distribute-lft-out
78×times-frac
49×add-sqr-sqrt add-cube-cbrt
31×exp-prod
21×distribute-rgt-neg-in
15×associate-/l*
11×associate-/r*
10×add-exp-log add-cbrt-cube
div-sub
add-log-exp
pow1 associate-/r/ div-inv
cbrt-undiv frac-2neg flip3-+ exp-diff div-exp clear-num flip-+
neg-sub0 associate-+r- unsub-neg associate-/l/
rem-exp-log
Counts
4 → 164
Calls
4 calls:
402.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
271.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
865.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
310.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series423.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
57.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
151.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
65.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify54.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05641632
120081512
250011501
done50011501

prune655.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b
(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
247×*-un-lft-identity
162×times-frac
100×distribute-lft-out
89×add-sqr-sqrt add-cube-cbrt
31×exp-prod
23×associate-/r*
21×distribute-rgt-neg-in
19×add-exp-log
15×associate-/l*
13×add-cbrt-cube
div-exp
div-inv
div-sub
pow1 cbrt-undiv add-log-exp
frac-2neg exp-diff clear-num associate-/r/
neg-sub0 associate-+r- rec-exp flip3-+ 1-exp unsub-neg flip-+ associate-/l/
pow-flip rem-exp-log inv-pow
Counts
4 → 219
Calls
4 calls:
429.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
273.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
298.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
874.0ms
(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

series452.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
60.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
62.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
166.0ms
(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

simplify78.0ms

Counts
231 → 231
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
07612590
130502380
250012275
done50012275

prune718.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b
(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

rewrite2.8s

Algorithm
rewrite-expression-head
Rules
639×times-frac
503×*-un-lft-identity
285×add-sqr-sqrt add-cube-cbrt
130×distribute-lft-out
50×add-exp-log
37×div-inv
35×div-exp
31×exp-prod associate-/r/
30×associate-/l*
21×distribute-rgt-neg-in
20×associate-/r* add-cbrt-cube
16×flip3-+ flip-+
10×cbrt-undiv
rec-exp 1-exp
div-sub
pow1 add-log-exp
frac-2neg exp-diff clear-num associate-/l/
neg-sub0 associate-+r- unsub-neg
pow-flip rem-exp-log inv-pow
Counts
4 → 432
Calls
4 calls:
862.0ms
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
271.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
299.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
1.3s
(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

series421.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
58.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
67.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
172.0ms
(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

simplify93.0ms

Counts
444 → 444
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016907651
150017003
done50017003

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
0.2b
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.2b
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.2b
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×*-un-lft-identity
12×cbrt-prod
add-exp-log add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
associate-/r/
add-cbrt-cube
pow1 frac-times add-log-exp
times-frac pow1/3 distribute-lft-out associate-/l*
cbrt-undiv associate-*r/ div-exp associate-*l/
frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
407.0ms
(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
200.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
199.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
203.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series1.2s

Counts
4 → 12
Calls
4 calls:
266.0ms
(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
441.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
247.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
251.0ms
(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify87.0ms

Counts
83 → 83
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
03221482
18841335
228231281
350011269
done50011269

prune468.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes353.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03918
13918
done3918

end0.0ms

sample1.1s

Algorithm
intervals
Results
528.0ms8000×body80valid
1.0msbody10240exit