Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	304×	body	80	valid
1.0ms	13×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 54

Calls

2 calls:

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

series175.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* 3.0 (- 2.0 (* x 3.0)))
94.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	229	341
1	1089	292
2	5001	287

prune94.0ms

Filtered

60 candidates to 37 candidates (61.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 0.1b

Counts

61 → 8

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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

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

series114.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
76.0ms	(* x (- 6.0 (* 9.0 x)))

simplify115.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	173	294
1	705	256
2	3896	252
3	5002	250

prune93.0ms

Filtered

58 candidates to 37 candidates (63.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))
54.8b	(fma (- x) 9.0 (* x 9.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 6.0 (* 9.0 x))
6.0ms	(* x (- 6.0 (* 9.0 x)))
1.0ms	(fma (- x) 9.0 (* x 9.0))

series154.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 6.0 (* 9.0 x))
72.0ms	(* x (- 6.0 (* 9.0 x)))
42.0ms	(fma (- x) 9.0 (* x 9.0))

simplify123.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	183	344
1	749	299
2	4071	295
3	5001	293

prune129.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* 1 (pow (cbrt 6.0) 3)))
0.2b	(* 9.0 (pow x 2))
1.0b	(cbrt 6.0)
54.8b	(fma (- x) 9.0 (* x 9.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
16×	`prod-exp`
15×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1` `associate-l`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow-to-exp` `1-exp` `pow-exp`
2×	`*-commutative` `unpow2` `sqr-pow`
1×	`pow1/3` `pow-prod-down` `fma-udef`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* x (* 1 (pow (cbrt 6.0) 3)))
5.0ms	(* 9.0 (pow x 2))
1.0ms	(cbrt 6.0)
1.0ms	(fma (- x) 9.0 (* x 9.0))

series90.0ms

Counts

4 → 10

Calls

4 calls:

18.0ms	(* x (* 1 (pow (cbrt 6.0) 3)))
30.0ms	(* 9.0 (pow x 2))
0.0ms	(cbrt 6.0)
42.0ms	(fma (- x) 9.0 (* x 9.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	260	306
1	1049	260
2	5002	259

prune212.0ms

Filtered

86 candidates to 59 candidates (68.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	20	8
2	20	8

end0.0ms

sample430.0ms

Algorithm

intervals

Results

236.0ms	9986×	body	80	valid
33.0ms	318×	body	1280	valid
24.0ms	302×	body	640	valid
9.0ms	139×	body	320	valid
3.0ms	68×	body	160	valid