Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	57×	body	640	valid
3.0ms	136×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	23×	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: 15.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.3b	(- (/ 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))

series86.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 1.0 (+ x 1.0))
60.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify151.0ms

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

prune109.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Merged error: 0.2b

Counts

65 → 3

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))
3.4b	(- 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))

series90.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (+ x 1.0) x)
35.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms	(- x (+ x 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

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

prune94.0ms

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	2	0	2
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 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)

rewrite78.0ms

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)))
27.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series68.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
43.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1582	5673
1	5001	5480

prune751.0ms

Filtered

480 candidates to 317 candidates (66.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	478	2	480
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	480	4	484

Merged error: 0.0b

Counts

484 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.2b	(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`frac-2neg` `times-frac` `distribute-frac-neg` `log-rec` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `distribute-rgt-neg-out` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

6.0ms	(* (+ x 1.0) x)
12.0ms	(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

series215.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (+ x 1.0) x)
170.0ms	(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	297	400
1	1745	277
2	5001	260

prune72.0ms

Filtered

51 candidates to 33 candidates (64.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

regimes15.0ms

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

sample398.0ms

Algorithm

intervals

Results

136.0ms	1887×	body	640	valid
80.0ms	4206×	body	80	valid
70.0ms	1285×	body	320	valid
22.0ms	626×	body	160	valid