Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	310×	body	80	valid
1.0ms	17×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify19.0ms

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

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)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

series190.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- 2.0 (* x 3.0))
61.0ms	(* 3.0 (- 2.0 (* x 3.0)))
87.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune146.0ms

Filtered

83 candidates to 54 candidates (65.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (- 6.0 (* 9.0 x)) x)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(* (- 6.0 (* 9.0 x)) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	117	122
1	473	108
2	2840	104
3	5002	104

prune59.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	24	10	34

Merged error: 0.0b

Counts

34 → 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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

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

series200.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- 2.0 (* x 3.0))
68.0ms	(* (- 2.0 (* x 3.0)) x)
89.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify38.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	234	366
1	880	311
2	5001	304

prune137.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	74	9	83

Merged error: 0.0b

Counts

83 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-prod` `fma-neg` `prod-diff` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (- 2.0 (* x 3.0)) x)
14.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
8.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series453.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
74.0ms	(* (- 2.0 (* x 3.0)) x)
190.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
151.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify57.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	358	818
1	1431	632
2	5001	574

prune197.0ms

Filtered

111 candidates to 67 candidates (60.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	3	3	6
Picked	1	0	1
Done	1	1	2
Total	114	6	120

Merged error: 0b

Counts

120 → 6

regimes21.0ms

Accuracy

0% (0.2b 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	8	3
1	8	3

end0.0ms

sample363.0ms

Algorithm

intervals

Results

193.0ms	9823×	body	80	valid
27.0ms	323×	body	1280	valid
19.0ms	277×	body	640	valid
6.0ms	117×	body	320	valid
2.0ms	57×	body	160	valid