Details

sample42.0ms

Algorithm

intervals

Results

21.0ms

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	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

localize22.0ms

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)

rewrite88.0ms

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` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `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 → 233

Calls

4 calls:

15.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
24.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series378.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
133.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify67.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	717	2274
1	2166	2171
2	5001	2148

prune884.0ms

Filtered

245 candidates to 159 candidates (64.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	241	4	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	242	4	246

Merged error: 0.0b

Counts

246 → 4

localize27.0ms

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)

rewrite80.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `div-sub` `flip-+` `associate-/l/`
1×	`rec-exp` `flip3--` `exp-diff` `1-exp` `flip--` `inv-pow`

Counts

4 → 181

Calls

4 calls:

15.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
17.0ms	(/ NdChar (+ 1.0 (/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))))
16.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
20.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

series429.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
162.0ms	(/ NdChar (+ 1.0 (/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))))
77.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
55.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

simplify65.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	674	1840
1	2112	1713
2	5001	1711

prune704.0ms

Filtered

193 candidates to 126 candidates (65.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	193	4	197

Merged error: 0.0b

Counts

197 → 4

localize33.0ms

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)

rewrite12.0ms

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:

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

series746.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt NaChar) (cbrt NaChar))
188.0ms	(cbrt NaChar)
179.0ms	(cbrt NaChar)
178.0ms	(cbrt NaChar)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune469.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize28.0ms

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)))))

rewrite99.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 188

Calls

4 calls:

41.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
18.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
15.0ms	(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:

461.0ms	(* (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
312.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
325.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
327.0ms	(cbrt (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	600	4468
1	1925	4324
2	5002	4095

prune1.1s

Filtered

200 candidates to 146 candidates (73.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

regimes356.0ms

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	36	17
1	36	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

690.0ms

8000×

body

valid