Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

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	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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

223×	`*-un-lft-identity`
132×	`times-frac`
109×	`add-sqr-sqrt`
84×	`distribute-lft-out--`
81×	`add-cube-cbrt`
58×	`exp-prod`
49×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`associate-/l*`
14×	`difference-of-squares`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
7×	`neg-mul-1`
5×	`add-log-exp`
4×	`pow1` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`neg-sub0` `flip3-+` `div-sub` `distribute-frac-neg` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`exp-neg` `flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 225

Calls

4 calls:

15.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
20.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series391.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
56.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
136.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
61.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify64.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	699	2217
1	2092	2114
2	5001	2091

prune873.0ms

Filtered

237 candidates to 151 candidates (63.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	234	4	238

Merged error: 0.0b

Counts

238 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
78×	`times-frac`
68×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
42×	`distribute-lft-out--`
26×	`pow-flip`
25×	`exp-prod`
16×	`associate-/l*`
15×	`associate-/r*`
12×	`add-cbrt-cube` `distribute-lft-out`
11×	`add-exp-log`
9×	`div-inv`
7×	`difference-of-squares`
5×	`pow1` `div-exp` `associate-/r/`
4×	`cbrt-undiv` `frac-2neg` `clear-num` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+` `associate-/l/`
1×	`rec-exp` `flip3--` `exp-diff` `1-exp` `flip--` `inv-pow`

Counts

4 → 173

Calls

4 calls:

16.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
18.0ms	(/ NdChar (+ 1.0 (/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))))
17.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
14.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

series427.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
160.0ms	(/ NdChar (+ 1.0 (/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))))
76.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
60.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

simplify65.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	656	1785
1	2035	1658
2	5001	1658

prune663.0ms

Filtered

185 candidates to 118 candidates (63.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	185	4	189

Merged error: 0.0b

Counts

189 → 4

localize32.0ms

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)

series925.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt NaChar) (cbrt NaChar))
175.0ms	(cbrt NaChar)
371.0ms	(cbrt NaChar)
179.0ms	(cbrt NaChar)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune404.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.4b	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

46.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
15.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
16.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
15.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
315.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
308.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
313.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	581	4376
1	1843	4233
2	5001	4010

prune942.0ms

Filtered

192 candidates to 138 candidates (71.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	192	4	196

Merged error: 0.0b

Counts

196 → 4

regimes338.0ms

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	36	17
1	36	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

722.0ms

8000×

body

valid