Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1422	17
5	2726	17
6	5001	17

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
147×	`times-frac`
113×	`add-sqr-sqrt`
89×	`exp-prod`
85×	`add-cube-cbrt`
84×	`distribute-lft-out--`
58×	`distribute-rgt-neg-in`
49×	`distribute-lft-neg-in`
40×	`distribute-lft-out`
21×	`associate-/l*`
14×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
7×	`neg-mul-1` `associate-/r*`
6×	`add-log-exp`
5×	`div-sub`
4×	`pow1` `exp-diff` `div-inv`
3×	`neg-sub0`
2×	`cbrt-undiv` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num` `associate-/r/` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `flip3--` `flip3-+` `unsub-neg` `flip--` `flip-+`

Counts

4 → 234

Calls

4 calls:

22.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series302.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
58.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
61.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify62.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	609	1999
1	1817	1919
2	5001	1896

prune818.0ms

Filtered

246 candidates to 146 candidates (59.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	243	3	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	3	247

Merged error: 0.0b

Counts

247 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0b	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

181×	`*-un-lft-identity`
90×	`times-frac`
70×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
42×	`distribute-lft-out--`
40×	`distribute-lft-out`
31×	`exp-prod`
25×	`pow-unpow`
14×	`add-exp-log`
13×	`unpow-prod-down`
10×	`associate-/l*`
9×	`distribute-rgt-neg-in`
8×	`add-cbrt-cube`
7×	`pow-exp` `associate-/r*` `difference-of-squares`
6×	`pow1` `div-exp`
5×	`div-sub` `div-inv` `add-log-exp`
3×	`e-exp-1` `pow-pow` `exp-diff`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/r/` `associate-/l/`
1×	`neg-sub0` `pow-to-exp` `associate-+r-` `flip3--` `pow-flip` `flip3-+` `unsub-neg` `flip--` `flip-+` `rem-exp-log` `inv-pow` `pow-sub` `sqr-pow`

Counts

4 → 179

Calls

4 calls:

16.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
14.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
16.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
18.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series571.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
59.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
55.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
320.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify63.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	715	1586
1	2311	1500
2	5001	1499

prune637.0ms

Filtered

191 candidates to 111 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	191	3	194

Merged error: 0.0b

Counts

194 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.1b	(/ 1 (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) NaChar))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

329×	`*-un-lft-identity`
231×	`times-frac`
153×	`add-sqr-sqrt`
125×	`add-cube-cbrt`
89×	`exp-prod`
84×	`distribute-lft-out--`
58×	`distribute-rgt-neg-in`
49×	`distribute-lft-neg-in`
48×	`distribute-lft-out`
21×	`associate-/l*`
19×	`associate-/r*`
17×	`add-exp-log`
14×	`difference-of-squares`
11×	`add-cbrt-cube`
8×	`div-exp` `div-inv`
7×	`neg-mul-1`
6×	`add-log-exp`
5×	`pow1` `div-sub`
4×	`cbrt-undiv` `exp-diff`
3×	`neg-sub0`
2×	`rec-exp` `frac-2neg` `1-exp` `distribute-frac-neg` `clear-num` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `flip3--` `pow-flip` `unsub-neg` `associate-/r/` `flip--` `inv-pow`

Counts

4 → 289

Calls

4 calls:

16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
23.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) NaChar))

series369.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
56.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
193.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) NaChar))

simplify79.0ms

Algorithm

egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	800	2970
1	2857	2788
2	5001	2672

prune866.0ms

Filtered

301 candidates to 155 candidates (51.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	301	3	304

Merged error: 0.0b

Counts

304 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt NaChar) (cbrt NaChar))
0.6b	(cbrt NaChar)
0.6b	(cbrt NaChar)
0.6b	(cbrt NaChar)

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt NaChar) (cbrt NaChar))
1.0ms	(cbrt NaChar)
1.0ms	(cbrt NaChar)
1.0ms	(cbrt NaChar)

series929.0ms

Counts

4 → 12

Calls

4 calls:

391.0ms	(* (cbrt NaChar) (cbrt NaChar))
178.0ms	(cbrt NaChar)
184.0ms	(cbrt NaChar)
176.0ms	(cbrt NaChar)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune412.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

regimes287.0ms

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)

Iter	Nodes	Cost
0	38	17
1	38	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

700.0ms

8000×

body

valid