Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	185×	body	160	valid
5.0ms	71×	body	320	valid
2.0ms	256×	pre	80	true

simplify147.0ms

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 (100.0%)

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))))

rewrite39.0ms

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:

37.0ms

(+ (* (+ 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:

36.0ms

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

simplify88.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (18.0ms)

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

prune83.0ms

Filtered

50 candidates to 27 candidates (46.0%)

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: 0.4b

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))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (77.0ms)

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

prune40.0ms

Filtered

31 candidates to 18 candidates (41.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	25	6	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
16×	`sqrt-prod` `unswap-sqr`
15×	`associate-l`
14×	`associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`unpow-prod-down`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`*-commutative`
1×	`add-log-exp`

Counts

1 → 47

Calls

1 calls:

13.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify128.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	225	369
1	836	319
2	3719	263
3	5001	262

prune65.0ms

Filtered

50 candidates to 32 candidates (36.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	51	6	57

Merged error: 0b

Counts

57 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
56×	`associate-l`
42×	`associate-r`
34×	`unswap-sqr`
23×	`sqrt-prod`
19×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`*-commutative`
3×	`add-log-exp`

Counts

3 → 116

Calls

3 calls:

5.0ms	(* (sqrt 3.9999999999999997e-32) t)
9.0ms	(* (* (sqrt 3.9999999999999997e-32) t) t)
22.0ms	(* (sqrt 3.9999999999999997e-32) (* (* (sqrt 3.9999999999999997e-32) t) t))

series166.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (sqrt 3.9999999999999997e-32) t)
45.0ms	(* (* (sqrt 3.9999999999999997e-32) t) t)
75.0ms	(* (sqrt 3.9999999999999997e-32) (* (* (sqrt 3.9999999999999997e-32) t) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	276	645
1	1379	538
2	5002	500

prune118.0ms

Filtered

125 candidates to 71 candidates (43.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	125	6	131

Merged error: 0b

Counts

131 → 6

regimes18.0ms

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

sample578.0ms

Algorithm

intervals

Results

272.0ms	6021×	body	160	valid
134.0ms	1979×	body	320	valid
74.0ms	8000×	pre	80	true