Details

sample263.0ms

Algorithm

intervals

Results

5.0ms	73×	body	1280	valid
4.0ms	49×	body	640	valid
3.0ms	169×	body	80	valid
1.0ms	31×	body	320	valid
0.0ms	13×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

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: 39.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series92.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
76.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	281	350
1	1394	305
2	5001	297

prune90.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Merged error: 0b

Counts

70 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 2.0 (pow x 2))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma x 2.0 (pow x 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune25.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))
0.0b	(log1p (fma x 2.0 (pow x 2)))
1.8b	(expm1 (log1p (fma x 2.0 (pow x 2))))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `fma-udef` `expm1-udef`

Counts

3 → 32

Calls

3 calls:

1.0ms	(fma x 2.0 (pow x 2))
1.0ms	(log1p (fma x 2.0 (pow x 2)))
1.0ms	(expm1 (log1p (fma x 2.0 (pow x 2))))

series225.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma x 2.0 (pow x 2))
67.0ms	(log1p (fma x 2.0 (pow x 2)))
104.0ms	(expm1 (log1p (fma x 2.0 (pow x 2))))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	181	208
1	519	185
2	2027	164
3	5002	160

prune75.0ms

Filtered

41 candidates to 34 candidates (82.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
0.0b	(* (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)))
4.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
4.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
26×	`pow1`
22×	`sqrt-prod`
18×	`add-cube-cbrt`
15×	`swap-sqr`
12×	`sqrt-div`
11×	`associate-r` `associate-l`
8×	`add-exp-log` `frac-times` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`
6×	`flip3-+` `prod-diff` `pow-prod-up` `flip-+` `distribute-lft-out` `difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `pow-sqr` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow2` `sub-neg` `pow-plus` `fma-neg` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sqrt-unprod` `rem-square-sqrt`

Counts

4 → 146

Calls

4 calls:

11.0ms	(* (+ x 1.0) (+ x 1.0))
21.0ms	(* (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)))
9.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
9.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series176.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
54.0ms	(* (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)))
55.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
52.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	380	1079
1	1859	944
2	5003	907

prune191.0ms

Filtered

158 candidates to 89 candidates (56.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	3	161

Merged error: 0b

Counts

161 → 3

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample530.0ms

Algorithm

intervals

Results

167.0ms	2200×	body	1280	valid
103.0ms	1692×	body	640	valid
92.0ms	5453×	body	80	valid
39.0ms	868×	body	320	valid
14.0ms	439×	body	160	valid