Details

Time bar (total: 3.9m)

sample57.0ms

Algorithm
intervals
Results
37.0ms256×body80valid

simplify235.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
235.0ms
(+ (/ NdChar (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
273×*-un-lft-identity
144×times-frac
112×add-sqr-sqrt
84×add-cube-cbrt
80×exp-prod
70×distribute-lft-out
56×distribute-lft-out--
49×distribute-lft-neg-in distribute-rgt-neg-in
24×associate-/l*
14×difference-of-squares
8×add-cbrt-cube add-exp-log
7×neg-mul-1
6×associate-/r* add-log-exp
4×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u div-inv associate-/l/
2×neg-sub0 cbrt-undiv clear-num associate-+r- frac-2neg exp-diff div-exp distribute-frac-neg distribute-neg-frac rem-exp-log
1×exp-neg flip3-+ flip3-- flip-+ flip--
Counts
4 → 244
Calls
4 calls:
Slowest
398.0ms
(exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
309.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
242.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
188.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))

series361.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
91.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
90.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
71.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

simplify41.3s

Counts
269 → 256
Calls
269 calls:
Slowest
757.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
610.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) (cbrt KbT))
478.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (* (cbrt KbT) (cbrt KbT)))
463.0ms
(exp (/ (- (* (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt (- Ec (+ (+ Vef mu) EDonor))))) 1))
456.0ms
(- (* EAccept EAccept) (* (- (+ Ev Vef) mu) (- (+ Ev Vef) mu)))

prune5.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite599.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
78×times-frac
62×add-sqr-sqrt
49×distribute-lft-out
48×add-cube-cbrt
47×exp-prod
35×distribute-lft-out--
13×associate-/l*
8×add-cbrt-cube add-exp-log
7×difference-of-squares
6×associate-/r* add-log-exp
4×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u div-inv associate-/l/
2×cbrt-undiv clear-num associate-+r- frac-2neg exp-diff div-exp rem-exp-log
1×flip3-+ flip3-- flip-+ flip--
Counts
4 → 165
Calls
4 calls:
Slowest
176.0ms
(exp (/ (- Ec (+ (+ Vef mu) EDonor)) KbT))
145.0ms
(/ (- Ec (+ (+ Vef mu) EDonor)) KbT)
144.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
131.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))

series341.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
83.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
76.0ms
(exp (/ (- Ec (+ (+ Vef mu) EDonor)) KbT))
72.0ms
(/ (- Ec (+ (+ Vef mu) EDonor)) KbT)

simplify20.5s

Counts
160 → 177
Calls
160 calls:
Slowest
806.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
582.0ms
(/ (- Ec (+ (+ Vef mu) EDonor)) KbT)
410.0ms
(exp (/ (* (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt (- Ec (+ (+ Vef mu) EDonor)))) (* (cbrt KbT) (cbrt KbT))))
360.0ms
(exp (/ (* (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt (- Ec (+ (+ Vef mu) EDonor)))) 1))
338.0ms
(- (+ (/ Ev KbT) (+ (/ Vef KbT) (+ (/ EAccept KbT) 1))) (/ mu KbT))

prune3.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
350×*-un-lft-identity
180×times-frac
155×add-sqr-sqrt
107×add-cube-cbrt
84×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
78×distribute-lft-out--
54×associate-/l*
24×difference-of-squares
22×exp-prod
12×neg-mul-1
10×add-cbrt-cube add-exp-log
9×associate-/r*
6×distribute-neg-frac associate-/l/
5×add-log-exp
4×expm1-log1p-u pow1 div-sub insert-posit16 log1p-expm1-u div-inv
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-- div-exp distribute-frac-neg flip--
1×associate-+r- exp-diff rem-exp-log
Counts
4 → 316
Calls
4 calls:
Slowest
360.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
357.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
245.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
175.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))

series329.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
93.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
87.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
78.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
71.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

simplify1.0m

Counts
420 → 328
Calls
420 calls:
Slowest
640.0ms
(/ (- Ec (+ (+ Vef mu) EDonor)) (sqrt KbT))
496.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (* (cbrt KbT) (cbrt KbT)))
452.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))
452.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (* (cbrt KbT) (cbrt KbT)))
450.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (* (cbrt KbT) (cbrt KbT)))

prune6.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

11.3b
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
11.3b
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
0.2b
(* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))
0.0b
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

rewrite964.0ms

Algorithm
rewrite-expression-head
Rules
1111×*-un-lft-identity
578×times-frac
554×sqrt-prod
393×add-sqr-sqrt
271×add-cube-cbrt
258×distribute-lft-out distribute-lft-out--
250×distribute-rgt-neg-in
226×distribute-lft-neg-in
159×swap-sqr
61×associate-*r* associate-*l*
44×difference-of-squares
22×neg-mul-1
21×pow1
18×associate-/l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-cbrt-cube add-exp-log
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down pow-sqr
2×distribute-neg-frac associate-/l/
1×pow2 neg-sub0 frac-times cbrt-undiv clear-num rem-square-sqrt frac-2neg pow-plus flip3-- sqrt-unprod div-sub div-exp associate-*l/ prod-exp associate-*r/ distribute-frac-neg *-commutative cbrt-unprod flip--
Counts
4 → 561
Calls
4 calls:
Slowest
487.0ms
(* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))
205.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
128.0ms
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
120.0ms
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))

series482.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
142.0ms
(sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))
124.0ms
(* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)))
60.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

simplify1.3m

Counts
750 → 573
Calls
750 calls:
Slowest
538.0ms
(* (sqrt (/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))) (sqrt (/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))))
414.0ms
(/ (- (sqrt (- Ec (+ (+ Vef mu) EDonor)))) KbT)
412.0ms
(* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) (cbrt KbT))) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) (cbrt KbT))))
358.0ms
(sqrt (/ (- Ec (+ (+ Vef mu) EDonor)) KbT))
306.0ms
(* (* (* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) (* (* (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))) (sqrt (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT))))

prune8.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes508.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s7997×body80valid
1.0ms1×body10240exit
1.0ms2×body320valid
0.0ms1×body160valid