Details

Time bar (total: 8.4s)

sample38.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
147×times-frac
114×add-sqr-sqrt
86×add-cube-cbrt
84×distribute-lft-out--
61×distribute-rgt-neg-in
58×exp-prod
52×distribute-lft-out
49×distribute-lft-neg-in
30×associate-/l*
14×difference-of-squares
10×add-exp-log associate-/r* add-cbrt-cube
7×neg-mul-1
5×div-sub add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv associate-/l/
3×cbrt-undiv neg-sub0 frac-2neg div-exp clear-num
2×flip3-+ distribute-frac-neg associate-/r/ flip-+ distribute-neg-frac
1×exp-neg associate-+r- flip3-- exp-diff unsub-neg flip-- rem-exp-log
Counts
4 → 256
Calls
4 calls:
15.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
16.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
21.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series306.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
57.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify65.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06812256
123892143
250012108

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.2b
(pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3)
26.6b
(cbrt (pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
309×*-un-lft-identity
159×times-frac
141×add-sqr-sqrt
96×distribute-lft-out--
93×add-cube-cbrt
56×cbrt-prod
50×unpow-prod-down cube-prod
48×distribute-lft-out
28×distribute-lft-neg-in distribute-rgt-neg-in
25×associate-/l*
24×difference-of-squares
11×add-exp-log add-cbrt-cube
6×associate-/r* div-inv
5×pow1
4×expm1-log1p-u neg-mul-1 log1p-expm1-u associate-/l/ add-log-exp
3×cbrt-undiv pow-unpow div-exp
2×cube-div cube-mult flip3-- frac-2neg unpow3 div-sub pow-exp clear-num flip-- distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow pow1/3 distribute-frac-neg rem-cbrt-cube
Counts
4 → 281
Calls
4 calls:
12.0ms
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
21.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
12.0ms
(pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3)
17.0ms
(cbrt (pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3))

series1.3s

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
63.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.0s
(pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3)
120.0ms
(cbrt (pow (/ (- (+ (+ Ev Vef) EAccept) mu) KbT) 3))

simplify107.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08002530
135932397
250032379

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt NdChar) (cbrt NdChar))
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)

series761.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt NdChar) (cbrt NdChar))
188.0ms
(cbrt NdChar)
183.0ms
(cbrt NdChar)
189.0ms
(cbrt NdChar)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune679.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt NdChar) (cbrt NdChar))
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)
1.0ms
(cbrt NdChar)

series741.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt NdChar) (cbrt NdChar))
181.0ms
(cbrt NdChar)
178.0ms
(cbrt NdChar)
177.0ms
(cbrt NdChar)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune547.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

sample963.0ms

Algorithm
intervals
Results
584.0ms7999×body80valid
2.0ms2×body10240exit
0.0ms1×body320valid