Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	188×	body	160	valid
4.0ms	68×	body	320	valid
2.0ms	256×	pre	80	true

simplify126.0ms

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

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))))

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))))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (13.0ms)

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

prune105.0ms

Filtered

36 candidates to 25 candidates (69.4%)

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))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (89.0ms)

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

prune47.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

6.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify224.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	152	105
1	648	89
2	4375	86
3	5001	86

prune35.0ms

Filtered

27 candidates to 14 candidates (51.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b

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

0.1b

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

0.4b

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-prod`
46×	`pow1`
45×	`add-sqr-sqrt`
28×	`pow-prod-down`
23×	`associate-r`
20×	`unswap-sqr`
19×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`unpow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sqrt-unprod`
6×	`unpow2` `sqr-pow`
5×	`pow-sqr` `pow-prod-up`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

3 → 119

Calls

3 calls:

8.0ms

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

8.0ms

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

17.0ms

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms

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

34.0ms

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

75.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	207	696
1	918	563
2	5001	555

prune189.0ms

Filtered

128 candidates to 67 candidates (52.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	127	7	134

Merged error: 0.0b

Counts

134 → 7

regimes27.0ms

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	11	2
1	14	2
2	14	2

end0.0ms

sample532.0ms

Algorithm

intervals

Results

243.0ms	5959×	body	160	valid
127.0ms	2041×	body	320	valid
71.0ms	8000×	pre	80	true