Details

sample48.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1425	17
5	2733	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

localize24.0ms

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `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 → 242

Calls

4 calls:

15.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
21.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
17.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series319.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
53.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
58.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify56.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	623	2054
1	1863	1974
2	5001	1951

prune815.0ms

Filtered

254 candidates to 154 candidates (60.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	251	3	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	3	255

Merged error: 0.0b

Counts

255 → 3

localize29.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
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 → 187

Calls

4 calls:

19.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
17.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
14.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series547.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
53.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
56.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
306.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify64.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	729	1639
1	2360	1553
2	5002	1548

prune679.0ms

Filtered

199 candidates to 119 candidates (59.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	199	3	202

Merged error: 0.0b

Counts

202 → 3

localize32.0ms

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))

rewrite92.0ms

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u`
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 → 297

Calls

4 calls:

26.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
18.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) NaChar))

series365.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
194.0ms	(/ 1 (/ (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) NaChar))

simplify86.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	813	3026
1	2900	2844
2	5001	2729

prune936.0ms

Filtered

309 candidates to 163 candidates (52.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	309	0	309
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	309	3	312

Merged error: 0.0b

Counts

312 → 3

localize36.0ms

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×	`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 NaChar) (cbrt NaChar))
1.0ms	(cbrt NaChar)
1.0ms	(cbrt NaChar)
1.0ms	(cbrt NaChar)

series744.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt NaChar) (cbrt NaChar))
178.0ms	(cbrt NaChar)
185.0ms	(cbrt NaChar)
182.0ms	(cbrt NaChar)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune499.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes313.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

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

745.0ms

8000×

body

valid