Details

Time bar (total: 13.4s)

sample79.0ms

Algorithm
intervals
Results
36.0ms256×body80valid

simplify931.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (247.0ms)

IterNodesCost
02731
14930
212030
336630
4136229
done500129

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
120×times-frac
88×distribute-lft-out
87×add-sqr-sqrt
71×add-cube-cbrt
49×distribute-rgt-neg-in
48×distribute-lft-out--
31×exp-prod
30×associate-/l*
28×distribute-lft-neg-in
10×add-exp-log associate-/r* add-cbrt-cube
8×difference-of-squares
7×div-sub
5×add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u div-inv associate-/l/
3×cbrt-undiv neg-sub0 frac-2neg exp-diff div-exp clear-num
2×associate-+r- flip3-+ unsub-neg associate-/r/ flip-+ distribute-neg-frac
1×flip3-- distribute-frac-neg flip-- rem-exp-log
Counts
4 → 230
Calls
4 calls:
807.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.3s
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
416.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
412.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series515.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
229.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
93.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
113.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify2.0s

Counts
242 → 242
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03033903
16993668
226983508
done50013498

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ (* NdChar Ec) KbT)
5.9b
(fma 0.25 (/ (* NdChar Ec) KbT) (- (* 0.5 NdChar) (* 0.25 (fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))))))
6.9b
(fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT)))
7.3b
(fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/r* fma-udef
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 53
Calls
4 calls:
11.0ms
(/ (* NdChar Ec) KbT)
0.0ms
(fma 0.25 (/ (* NdChar Ec) KbT) (- (* 0.5 NdChar) (* 0.25 (fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))))))
0.0ms
(fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT)))
0.0ms
(fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))

series510.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* NdChar Ec) KbT)
321.0ms
(fma 0.25 (/ (* NdChar Ec) KbT) (- (* 0.5 NdChar) (* 0.25 (fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))))))
95.0ms
(fma (/ NdChar KbT) EDonor (fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT)))
66.0ms
(fma (/ NdChar KbT) mu (/ (* NdChar Vef) KbT))

simplify889.0ms

Counts
65 → 65
Iterations

Useful iterations: done (886.0ms)

IterNodesCost
01091038
12391024
2965875
done5001796

prune540.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes449.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02731
13531
done3531

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s7998×body80valid
1.0ms1×body320valid
0.0ms1×body1280valid