Details

analyze1.0ms

Algorithm

sampling

Space saved by range analysis: 99.992676%

Space saved by search: 99.992676%

Guaranteed chance to sample good point: 100%

sample29.0ms

Algorithm

intervals

Results

14.0ms	188×	body	160	valid
7.0ms	68×	body	320	valid
3.0ms	256×	pre	80	true

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	85	9
2	251	9
3	663	9
4	1805	9
5	3909	9
6	5001	9

prune2.0ms

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: 61.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

61.8b

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`frac-add`
13×	`flip3-+` `flip-+`
8×	`frac-times` `flip3--` `flip--`
6×	`add-log-exp`
4×	`associate-r/` `associate-l/`
2×	`associate-+l+` `associate-+r+` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `sub-neg` `*-un-lft-identity` `distribute-lft-in` `diff-log` `add-cbrt-cube`

Counts

1 → 33

Calls

1 calls:

10.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

simplify75.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	585	972
1	2872	933
2	5001	933

prune82.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Merged error: 0.3b

Counts

37 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 3.9999999999999997e-32 (pow t 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

5.0ms

(* 3.9999999999999997e-32 (pow t 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3.9999999999999997e-32 (pow t 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune47.0ms

Filtered

18 candidates to 30 candidates (-66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t 3.9999999999999997e-32) t)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* t 3.9999999999999997e-32) t)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* t 3.9999999999999997e-32) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune26.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-l`
10×	`prod-exp` `sqrt-prod`
9×	`associate-r` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

6.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
7.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
8.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify153.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	168	308
1	717	259
2	3908	249
3	5001	248

prune74.0ms

Filtered

33 candidates to 62 candidates (-87.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

regimes41.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 99.992676%

Space saved by search: 99.992676%

Guaranteed chance to sample good point: 100%

sample838.0ms

Algorithm

intervals

Results

449.0ms	6011×	body	160	valid
211.0ms	1989×	body	320	valid
95.0ms	8000×	pre	80	true

Details

analyze1.0ms

sample29.0ms

simplify132.0ms

prune2.0ms

localize7.0ms

rewrite12.0ms

series4.0ms

simplify75.0ms

prune82.0ms

localize4.0ms

rewrite6.0ms

series3.0ms

simplify73.0ms

prune47.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify55.0ms

prune26.0ms

localize6.0ms

rewrite16.0ms

series13.0ms

simplify153.0ms

prune74.0ms

regimes41.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample838.0ms

Profiling