Details

Time bar (total: 31.5s)

sample84.0ms

Algorithm
intervals
Results
46.0ms256×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5004
64853
52034
4799
3286
2115
151
027

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
154×*-un-lft-identity
72×times-frac
61×add-sqr-sqrt
47×add-cube-cbrt
39×distribute-lft-out--
31×distribute-lft-out
25×exp-prod
16×associate-/l*
10×associate-/r* add-cbrt-cube add-exp-log
difference-of-squares
add-log-exp
pow1 insert-posit16 div-inv associate-/l/
cbrt-undiv clear-num frac-2neg div-sub div-exp
flip3-+ associate-/r/ flip-+
associate-+r- flip3-- exp-diff associate-+l- flip-- rem-exp-log
Counts
4 → 159
Calls
4 calls:
884.0ms
(/ NdChar (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))
138.0ms
(/ (- EDonor (- Ec (+ Vef mu))) KbT)
218.0ms
(exp (/ (- EDonor (- Ec (+ Vef mu))) KbT))
334.0ms
(/ (+ (+ EAccept (- Ev mu)) Vef) KbT)

series486.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(/ NdChar (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))
96.0ms
(/ (- EDonor (- Ec (+ Vef mu))) KbT)
93.0ms
(exp (/ (- EDonor (- Ec (+ Vef mu))) KbT))
102.0ms
(/ (+ (+ EAccept (- Ev mu)) Vef) KbT)

simplify1.5s

Counts
171 → 171
Iterations
IterNodes
done5000
21644
1552
0245

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ EAccept (- Ev mu)) Vef) KbT)
0.1b
(* (/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))) (/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))))
0.1b
(/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))
0.2b
(/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))

rewrite4.9s

Algorithm
rewrite-expression-head
Rules
145×*-un-lft-identity
124×times-frac
121×add-sqr-sqrt
75×add-cube-cbrt
67×sqrt-prod
34×add-exp-log distribute-lft-out
27×associate-*r* associate-*l*
22×add-cbrt-cube
17×associate-/r*
15×unswap-sqr
12×div-exp associate-/l*
pow1 sqrt-div prod-exp associate-/r/
cbrt-undiv
flip3-+ flip-+ div-inv
cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp
rec-exp clear-num frac-2neg 1-exp pow-flip
associate-/l/
frac-times associate-+r- sqrt-pow1 pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative associate-+l- inv-pow
Counts
4 → 235
Calls
4 calls:
251.0ms
(/ (+ (+ EAccept (- Ev mu)) Vef) KbT)
3.1s
(* (/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))) (/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))))
831.0ms
(/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))
749.0ms
(/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))

series833.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (+ (+ EAccept (- Ev mu)) Vef) KbT)
259.0ms
(* (/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))) (/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1))))
188.0ms
(/ NdChar (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))
286.0ms
(/ 1 (sqrt (+ (exp (/ (- EDonor (- Ec (+ Vef mu))) KbT)) 1)))

simplify2.5s

Counts
247 → 247
Iterations
IterNodes
done5007
22470
1872
0320

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt NdChar) (cbrt NdChar))
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
10.0ms
(* (cbrt NdChar) (cbrt NdChar))
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)

series1.2s

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (cbrt NdChar) (cbrt NdChar))
259.0ms
(cbrt NdChar)
315.0ms
(cbrt NdChar)
328.0ms
(cbrt NdChar)

simplify3.4s

Counts
89 → 89
Iterations
IterNodes
done5002
43832
31045
2380
1138
063

prune830.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)
0.6b
(cbrt NdChar)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)

series988.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt NdChar)
272.0ms
(cbrt NdChar)
236.0ms
(cbrt NdChar)
258.0ms
(cbrt NdChar)

simplify2.0s

Counts
60 → 60
Iterations
IterNodes
done5000
51361
4446
3184
295
145
025

prune781.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes861.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.1s8000×body80valid