Details

sample16.0ms

Algorithm

intervals

Results

3.0ms	47×	body	640	valid
3.0ms	141×	body	80	valid
3.0ms	48×	body	320	valid
1.0ms	20×	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

prune1.0ms

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: 12.8b

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))

rewrite23.0ms

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))
16.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
60.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify157.0ms

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

prune119.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0.3b

Counts

65 → 4

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))
2.7b	(- x (+ x 1.0))

rewrite25.0ms

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)
12.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
5.0ms	(- x (+ x 1.0))

series85.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (+ x 1.0) x)
38.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (50.0ms)

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

prune121.0ms

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	3	0	3
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

localize7.0ms

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)

rewrite75.0ms

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)))
23.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series66.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify92.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1582	5673
1	5001	5480

prune884.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite25.0ms

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:

10.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series369.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
90.0ms	(cbrt (+ x 1.0))
88.0ms	(cbrt (+ x 1.0))
89.0ms	(cbrt (+ x 1.0))

simplify148.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	306	792
1	995	747
2	4414	669
3	5003	665

prune300.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes16.0ms

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

sample428.0ms

Algorithm

intervals

Results

151.0ms	1924×	body	640	valid
89.0ms	4195×	body	80	valid
68.0ms	1206×	body	320	valid
26.0ms	676×	body	160	valid