Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	196×	body	160	valid
4.0ms	60×	body	320	valid
2.0ms	256×	pre	80	true

simplify130.0ms

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

localize8.0ms

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))))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (15.0ms)

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

prune96.0ms

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: 0.4b

Counts

37 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify75.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (71.0ms)

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

prune46.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 0.0b

Counts

31 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 3.9999999999999997e-32) (pow t 2))
0.3b	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

rewrite19.0ms

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:

8.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
9.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (sqrt 3.9999999999999997e-32) (pow t 2))
80.0ms	(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))

simplify157.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (151.0ms)

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

prune82.0ms

Filtered

62 candidates to 33 candidates (53.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* (* t (sqrt 3.9999999999999997e-32)) t)
0.3b	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
3×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 64

Calls

3 calls:

5.0ms	(* t (sqrt 3.9999999999999997e-32))
6.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
13.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

series170.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* t (sqrt 3.9999999999999997e-32))
46.0ms	(* (* t (sqrt 3.9999999999999997e-32)) t)
77.0ms	(* (sqrt 3.9999999999999997e-32) (* (* t (sqrt 3.9999999999999997e-32)) t))

simplify144.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	192	335
1	1051	255
2	4928	249
3	5001	249

prune73.0ms

Filtered

73 candidates to 39 candidates (53.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

regimes20.0ms

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	9	5
1	9	5

end0.0ms

sample539.0ms

Algorithm

intervals

Results

258.0ms	6035×	body	160	valid
123.0ms	1965×	body	320	valid
70.0ms	8000×	pre	80	true