Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
147×	`times-frac`
114×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
84×	`distribute-lft-out--`
61×	`distribute-rgt-neg-in`
58×	`exp-prod`
52×	`distribute-lft-out`
49×	`distribute-lft-neg-in`
30×	`associate-/l*`
14×	`difference-of-squares`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
7×	`neg-mul-1`
5×	`div-sub` `add-log-exp`
4×	`pow1` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num`
2×	`flip3-+` `distribute-frac-neg` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `flip3--` `exp-diff` `unsub-neg` `flip--` `rem-exp-log`

Counts

4 → 248

Calls

4 calls:

15.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
15.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series311.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify62.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	665	2203
1	2327	2090
2	5002	2058

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
16.2b	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.2b	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.2b	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

1245×	`*-un-lft-identity`
684×	`distribute-lft-out`
481×	`cbrt-prod`
447×	`times-frac`
207×	`add-sqr-sqrt`
183×	`add-cube-cbrt`
171×	`distribute-rgt-neg-in`
160×	`swap-sqr`
34×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `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 → 378

Calls

4 calls:

46.0ms	(* (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
10.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
10.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
14.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series1.3s

Counts

4 → 12

Calls

4 calls:

423.0ms	(* (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
299.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
301.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
310.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify91.0ms

Algorithm

egg-herbie

Counts

390 → 390

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	359	6402
1	1250	6305
2	5002	5718

prune1000.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt NdChar) (cbrt NdChar))
0.5b	(cbrt NdChar)
0.5b	(cbrt NdChar)
0.5b	(cbrt NdChar)

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:

5.0ms	(* (cbrt NdChar) (cbrt NdChar))
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)

series779.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt NdChar) (cbrt NdChar))
197.0ms	(cbrt NdChar)
186.0ms	(cbrt NdChar)
183.0ms	(cbrt NdChar)

simplify95.0ms

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

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt NdChar) (cbrt NdChar))
0.5b	(cbrt NdChar)
0.5b	(cbrt NdChar)
0.5b	(cbrt NdChar)

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:

5.0ms	(* (cbrt NdChar) (cbrt NdChar))
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)
1.0ms	(cbrt NdChar)

series750.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt NdChar) (cbrt NdChar))
187.0ms	(cbrt NdChar)
179.0ms	(cbrt NdChar)
182.0ms	(cbrt NdChar)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

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

prune530.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes317.0ms

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	39	32
1	39	32

end0.0ms

sample961.0ms

Algorithm

intervals

Results

576.0ms	7999×	body	80	valid
2.0ms	2×	body	10240	exit
0.0ms	1×	body	320	valid