Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	326×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	9×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	75	4
3	141	4
4	170	4
5	170	4

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
9.0ms	(* 3.0 (- 2.0 (* x 3.0)))
6.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
4.0ms	(* 3.0 (- 2.0 (* x 3.0)))
7.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	219	323
1	1062	277
2	5002	274

prune91.0ms

Filtered

42 candidates to 65 candidates (-54.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 6.0 (* 9.0 x))
5.0ms	(* x (- 6.0 (* 9.0 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- 6.0 (* 9.0 x))
6.0ms	(* x (- 6.0 (* 9.0 x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	190
1	583	168
2	3082	168
3	5002	168

prune62.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	42	10	52

Merged error: 0.0b

Counts

52 → 10

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
6.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (- 2.0 (* x 3.0)) x)
7.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	207	312
1	816	266
2	5001	260

prune73.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`flip3--` `flip--`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
13.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
7.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series37.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (- 2.0 (* x 3.0)) x)
18.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
10.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	328	742
1	1360	566
2	5002	516

prune121.0ms

Filtered

54 candidates to 97 candidates (-79.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	97	8	105

Merged error: 0b

Counts

105 → 8

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample480.0ms

Algorithm

intervals

Results

242.0ms	9907×	body	80	valid
34.0ms	325×	body	1280	valid
24.0ms	275×	body	640	valid
8.0ms	121×	body	320	valid
3.0ms	72×	body	160	valid

Details

sample18.0ms

simplify12.0ms

prune2.0ms

localize5.0ms

rewrite19.0ms

series15.0ms

simplify38.0ms

prune91.0ms

localize4.0ms

rewrite9.0ms

series9.0ms

simplify92.0ms

prune62.0ms

localize5.0ms

rewrite15.0ms

series16.0ms

simplify36.0ms

prune73.0ms

localize9.0ms

rewrite30.0ms

series37.0ms

simplify49.0ms

prune121.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample480.0ms

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