Details

sample56.0ms

Algorithm

intervals

Results

34.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite1.2s

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:

316.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
465.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
269.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
171.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series305.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
127.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
59.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
60.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify56.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	626	2055
1	1867	1975
2	5001	1951

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt KbT) (cbrt KbT))
0.7b	(cbrt KbT)
0.7b	(cbrt KbT)
0.7b	(cbrt KbT)

rewrite9.0ms

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 KbT) (cbrt KbT))
0.0ms	(cbrt KbT)
0.0ms	(cbrt KbT)
1.0ms	(cbrt KbT)

series699.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt KbT) (cbrt KbT))
168.0ms	(cbrt KbT)
170.0ms	(cbrt KbT)
170.0ms	(cbrt KbT)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

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

prune514.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(* (/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))
0.1b	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.2b	(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
133×	`times-frac`
123×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
67×	`sqrt-prod`
50×	`distribute-lft-out`
32×	`add-exp-log`
31×	`exp-prod`
27×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
9×	`distribute-rgt-neg-in`
8×	`pow1` `sqrt-div` `prod-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*`
5×	`div-inv` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `cbrt-unprod` `flip-+` `log1p-expm1-u`
3×	`rec-exp` `pow-flip` `exp-diff` `1-exp` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`neg-sub0` `frac-times` `associate-+r-` `sqrt-pow1` `pow1/2` `associate-r/` `unsub-neg` `pow-prod-down` `associate-l/` `*-commutative` `rem-exp-log` `inv-pow`

Counts

4 → 239

Calls

4 calls:

169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
1.9s	(* (/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))
472.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
475.0ms	(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
147.0ms	(* (/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))
168.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
184.0ms	(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	808	4188
1	3611	3725
2	5001	3487

prune943.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
8.7b	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
8.7b	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite782.0ms

Algorithm

rewrite-expression-head

Rules

338×	`*-un-lft-identity`
191×	`times-frac`
150×	`add-sqr-sqrt`
120×	`distribute-lft-out--`
116×	`sqrt-prod`
104×	`add-cube-cbrt`
79×	`distribute-rgt-neg-in`
70×	`distribute-lft-neg-in`
36×	`distribute-lft-out`
31×	`exp-prod`
20×	`difference-of-squares`
18×	`associate-/l*`
10×	`neg-mul-1`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `rem-sqrt-square` `div-sub` `log1p-expm1-u` `div-inv`
3×	`exp-diff` `associate-/r*`
2×	`neg-sub0` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `associate-+r-` `flip3--` `frac-2neg` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 281

Calls

4 calls:

270.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
170.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
162.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
163.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series381.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
58.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
130.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
140.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify110.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	493	2806
1	1368	2701
2	4532	2642
3	5001	2641

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes302.0ms

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	43	23
1	47	23
2	50	23
3	52	23
4	52	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	7997×	body	80	valid
1.0ms	1×	body	10240	exit
1.0ms	1×	body	1280	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid