Details

sample71.0ms

Algorithm

intervals

Results

45.0ms	240×	body	10240	exit
6.0ms	204×	body	80	valid
3.0ms	29×	body	320	valid
2.0ms	11×	body	640	valid
1.0ms	15×	body	160	valid

simplify49.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize10.0ms

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))
4.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite511.0ms

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:

10.0ms	(/ x (+ wj 1))
10.0ms	(/ wj (+ wj 1))
22.0ms	(/ (/ x (+ wj 1)) (exp wj))
461.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ x (+ wj 1))
21.0ms	(/ wj (+ wj 1))
36.0ms	(/ (/ x (+ wj 1)) (exp wj))
53.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify81.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (65.0ms)

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

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

11.0ms	(+ x (pow wj 2))
15.0ms	(* 2 (* wj x))

series45.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (pow wj 2))
17.0ms	(* 2 (* wj x))

simplify66.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	149	128
1	550	109
2	2327	108
3	5001	108

prune68.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

61.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
7.0ms	(cbrt (+ x (pow wj 2)))
7.0ms	(cbrt (+ x (pow wj 2)))
7.0ms	(cbrt (+ x (pow wj 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
302.0ms	(cbrt (+ x (pow wj 2)))
300.0ms	(cbrt (+ x (pow wj 2)))
299.0ms	(cbrt (+ x (pow wj 2)))

simplify175.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	252	878
1	944	827
2	4715	760
3	5001	749

prune273.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (+ x (pow wj 2)))
7.0ms	(cbrt (+ x (pow wj 2)))
9.0ms	(cbrt (+ x (pow wj 2)))
7.0ms	(cbrt (+ x (pow wj 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (+ x (pow wj 2)))
293.0ms	(cbrt (+ x (pow wj 2)))
298.0ms	(cbrt (+ x (pow wj 2)))
297.0ms	(cbrt (+ x (pow wj 2)))

simplify59.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	136	452
1	429	424
2	1576	416
3	5001	404

prune250.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

regimes87.0ms

Accuracy

64.8% (0.6b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.1b

bsearch24.0ms

Steps

Iters	Range		Point
6	1.0738724617663113e-08	5.0796479603103655e-08	1.0870455527639365e-08

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	7879×	body	10240	exit
198.0ms	6304×	body	80	valid
70.0ms	773×	body	320	valid
62.0ms	440×	body	640	valid
33.0ms	556×	body	160	valid