Details

analyze278.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify145.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (* (- 1.0 x) y) (* x z))
6.0ms	(* (- 1.0 x) y)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (- 1.0 x) y) (* x z))
4.0ms	(* (- 1.0 x) y)

simplify104.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune51.0ms

Filtered

29 candidates to 39 candidates (-34.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
20.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune105.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.0b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
12.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
12.0ms	(* (sqrt (- 1.0 x)) y)
24.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
8.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
12.0ms	(* (sqrt (- 1.0 x)) y)
5.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	470	683
1	1699	607
2	5001	591

prune138.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x z) 3)
1.2b	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
3.5b	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
40.6b	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

6.0ms	(pow (* x z) 3)
14.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
8.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
29.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (* x z) 3)
162.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
41.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
97.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

simplify128.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	470	1633
1	2330	1495
2	5001	1491

prune218.0ms

Filtered

73 candidates to 101 candidates (-38.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes217.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze377.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample410.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
17.0ms	638×	body	80	invalid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

analyze278.0ms

sample15.0ms

simplify145.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify104.0ms

prune51.0ms

localize12.0ms

rewrite10.0ms

series90.0ms

simplify74.0ms

prune105.0ms

localize17.0ms

rewrite54.0ms

series27.0ms

simplify50.0ms

prune138.0ms

localize31.0ms

rewrite59.0ms

series315.0ms

simplify128.0ms

prune218.0ms

regimes217.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze377.0ms

sample410.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4