Details

Time bar (total: 3.5m)

sample91.0ms

Algorithm
intervals
Results
60.0ms255×body80valid
1.0ms1×body160valid

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(+ (/ NdChar (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
173×*-un-lft-identity
84×times-frac
71×add-sqr-sqrt
55×add-cube-cbrt
45×distribute-lft-out
32×distribute-lft-out--
28×distribute-lft-neg-in distribute-rgt-neg-in
27×associate-/l*
10×associate-/r* add-cbrt-cube add-exp-log
8×difference-of-squares
6×add-log-exp
4×pow1 neg-mul-1 insert-posit16 associate-/l/
3×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
2×div-sub associate-/r/ distribute-neg-frac
1×neg-sub0 +-commutative associate-+r- sum-log flip3-- distribute-frac-neg flip--
Counts
4 → 182
Calls
4 calls:
Slowest
810.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)
278.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
274.0ms
(/ NaChar (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))
184.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series448.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
178.0ms
(/ NaChar (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))
113.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)
94.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
63.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

simplify54.3s

Counts
284 → 194
Calls
284 calls:
Slowest
733.0ms
(* (* (/ (+ EAccept (- (+ Ev Vef) mu)) KbT) (/ (+ EAccept (- (+ Ev Vef) mu)) KbT)) (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
597.0ms
(+ (pow (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 3) (pow 1 3))
486.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))
483.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (sqrt KbT))
474.0ms
(/ (- (- (sqrt Ec) (sqrt (+ (+ Vef mu) EDonor)))) (cbrt KbT))

prune4.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
244×*-un-lft-identity
180×times-frac
120×add-sqr-sqrt
104×add-cube-cbrt
56×distribute-lft-out
32×distribute-lft-out--
31×associate-/l*
28×distribute-lft-neg-in distribute-rgt-neg-in
25×associate-/r*
21×add-exp-log
15×add-cbrt-cube
10×div-exp
8×div-inv difference-of-squares
6×cbrt-undiv associate-/l/
5×pow1
4×clear-num neg-mul-1 frac-2neg insert-posit16 add-log-exp
2×rec-exp flip3-+ 1-exp div-sub flip-+ distribute-neg-frac
1×neg-sub0 associate-+r- flip3-- distribute-frac-neg associate-/r/ pow-flip flip-- inv-pow
Counts
4 → 258
Calls
4 calls:
Slowest
389.0ms
(/ (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))) NaChar)
286.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
285.0ms
(/ 1 (/ (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))) NaChar))
226.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series687.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
288.0ms
(/ 1 (/ (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))) NaChar))
216.0ms
(/ (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))) NaChar)
100.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
83.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

simplify1.3m

Counts
407 → 270
Calls
407 calls:
Slowest
660.0ms
(* (* (/ (+ EAccept (- (+ Ev Vef) mu)) KbT) (/ (+ EAccept (- (+ Ev Vef) mu)) KbT)) (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
637.0ms
(/ 1 (/ (* (cbrt (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT)))) (cbrt (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))) (sqrt NaChar)))
580.0ms
(/ KbT (- Ec (+ (+ Vef mu) EDonor)))
505.0ms
(* (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
474.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))

prune4.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.7s

Algorithm
rewrite-expression-head
Rules
249×*-un-lft-identity
127×add-sqr-sqrt
120×times-frac
83×add-cube-cbrt
58×distribute-lft-out
56×distribute-lft-neg-in distribute-rgt-neg-in
48×distribute-lft-out--
39×associate-/l*
26×sqrt-prod
19×pow1
16×difference-of-squares
12×add-cbrt-cube sqrt-div add-exp-log
11×swap-sqr
10×associate-/r*
8×neg-mul-1 sqrt-pow1 pow1/2
7×flip3-+ associate-*r* associate-*l* flip-+
5×pow-prod-up
4×frac-times insert-posit16 distribute-neg-frac add-log-exp unswap-sqr associate-/l/
3×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down pow-sqr div-inv
2×neg-sub0 flip3-- div-sub associate-*l/ associate-*r/ distribute-frac-neg associate-/r/ flip--
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 281
Calls
4 calls:
Slowest
3.1s
(* (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)))
176.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
175.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
175.0ms
(/ NaChar (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(/ NaChar (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))
72.0ms
(* (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)))
66.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
64.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

simplify57.3s

Counts
434 → 293
Calls
434 calls:
Slowest
521.0ms
(/ (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) KbT)
503.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (sqrt KbT))
461.0ms
(* (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)) (sqrt (+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)))
378.0ms
(/ NaChar (+ 1 (exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))))
300.0ms
(* (* (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))

prune5.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes490.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s7998×body80valid
1.0ms1×body10240exit
1.0ms1×body640valid
0.0ms1×body160valid