Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	61×	body	640	valid
3.0ms	132×	body	80	valid
3.0ms	47×	body	320	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune2.0ms

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: 15.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
17.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
61.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify156.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	266	392
1	898	369
2	4185	367
3	5001	367

prune111.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 1.0b

Counts

65 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.9b	(- x (+ x 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
16.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
5.0ms	(- x (+ x 1.0))

series90.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (+ x 1.0) x)
35.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	345	395
1	2045	325
2	5003	316

prune97.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 474

Calls

2 calls:

11.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
28.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1582	5673
1	5001	5480

prune775.0ms

Filtered

480 candidates to 317 candidates (66.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	478	2	480
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	479	5	484

Merged error: 0b

Counts

484 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

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 x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series744.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt x) (cbrt x))
177.0ms	(cbrt x)
177.0ms	(cbrt x)
186.0ms	(cbrt x)

simplify89.0ms

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

prune162.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample504.0ms

Algorithm

intervals

Results

182.0ms	1921×	body	640	valid
105.0ms	4217×	body	80	valid
91.0ms	1239×	body	320	valid
29.0ms	624×	body	160	valid