Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	196×	body	160	valid
4.0ms	60×	body	320	valid
2.0ms	256×	pre	80	true

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 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))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 47

Calls

1 calls:

39.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	582	1094
1	2760	1055
2	5001	1055

prune79.0ms

Filtered

50 candidates to 27 candidates (54.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	1	51

Merged error: 0.3b

Counts

51 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

6.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	107	104
1	404	89
2	1967	89
3	5002	88

prune33.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-exp-log`
10×	`associate-r` `unswap-sqr`
9×	`prod-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`unpow-prod-down`
3×	`pow-prod-down` `cbrt-unprod` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`add-log-exp`

Counts

1 → 43

Calls

1 calls:

13.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify248.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	199	189
1	764	155
2	4887	150
3	5002	150

prune45.0ms

Filtered

46 candidates to 25 candidates (54.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
50×	`unswap-sqr`
43×	`associate-r`
34×	`sqrt-prod`
18×	`associate-l`
17×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `unpow2` `sqr-pow`
9×	`pow1` `add-cbrt-cube`
4×	`pow-prod-down` `cbrt-unprod`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp` `add-log-exp`

Counts

2 → 102

Calls

2 calls:

19.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
8.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

series117.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
45.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	239	676
1	1029	464
2	5001	442

prune93.0ms

Filtered

108 candidates to 50 candidates (46.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	1	4
Picked	1	0	1
Done	1	1	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes21.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	2
1	14	2
2	14	2

end0.0ms

sample556.0ms

Algorithm

intervals

Results

256.0ms	5932×	body	160	valid
128.0ms	2068×	body	320	valid
75.0ms	8000×	pre	80	true