Details

sample78.0ms

Algorithm

intervals

Results

53.0ms	285×	body	10240	exit
6.0ms	197×	body	80	valid
3.0ms	17×	body	640	valid
2.0ms	26×	body	320	valid
1.0ms	18×	body	160	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

6.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
13.0ms	(/ (/ x (+ wj 1)) (exp wj))
364.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (+ wj 1))
21.0ms	(/ wj (+ wj 1))
43.0ms	(/ (/ x (+ wj 1)) (exp wj))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify78.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune439.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ x (pow wj 2))
6.0ms	(* 2 (* wj x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (pow wj 2))
20.0ms	(* 2 (* wj x))

simplify75.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	149	122
1	550	108
2	2362	107
3	5001	107

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-log-exp`
8×	`frac-sub` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-prod`
6×	`diff-log`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `flip3-+` `times-frac` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`
3×	`sub-neg` `associate--l+` `sum-log`
1×	`pow1/3`

Counts

4 → 79

Calls

4 calls:

155.0ms	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
363.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
365.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
366.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1))))
57.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
54.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))
58.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	368	1425
1	1204	1352
2	5002	1319

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(* 2 (* wj x))
3.4b	(exp (log (+ x (pow wj 2))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`log-prod` `exp-prod` `exp-sum`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3-+` `exp-diff` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-r` `sum-log` `log-pow` `*-commutative` `rem-exp-log`

Counts

3 → 48

Calls

3 calls:

5.0ms	(+ x (pow wj 2))
6.0ms	(* 2 (* wj x))
6.0ms	(exp (log (+ x (pow wj 2))))

series81.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (pow wj 2))
22.0ms	(* 2 (* wj x))
29.0ms	(exp (log (+ x (pow wj 2))))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	189	216
1	626	192
2	2423	187
3	5001	181

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes62.0ms

Accuracy

0% (1.5b remaining)

Error of 2.1b against oracle of 0.6b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7727×	body	10240	exit
201.0ms	6322×	body	80	valid
75.0ms	747×	body	320	valid
70.0ms	465×	body	640	valid
33.0ms	544×	body	160	valid