Details

sample252.0ms

Algorithm

intervals

Results

7.0ms	89×	body	1280	valid
4.0ms	156×	body	80	valid
3.0ms	52×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	9×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 41.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
2.4b	(- (* (+ 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))
10.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series89.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
73.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

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

prune84.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0b

Counts

70 → 2

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

prune23.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x 1.0) 3)
0.1b	(* (pow (+ x 1.0) 3) (+ x 1.0))
2.4b	(fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0)))
7.5b	(/ (fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0))) (fma (+ x 1.0) (+ x 1.0) 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
14×	`associate-l`
12×	`add-exp-log`
9×	`unpow-prod-down` `times-frac` `cube-prod` `add-cbrt-cube`
8×	`cube-div`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-r` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `prod-exp` `associate-/r` `associate-/l` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-plus` `div-exp` `clear-num` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 116

Calls

4 calls:

4.0ms	(pow (+ x 1.0) 3)
10.0ms	(* (pow (+ x 1.0) 3) (+ x 1.0))
1.0ms	(fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0)))
3.0ms	(/ (fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0))) (fma (+ x 1.0) (+ x 1.0) 1.0))

series308.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (+ x 1.0) 3)
28.0ms	(* (pow (+ x 1.0) 3) (+ x 1.0))
38.0ms	(fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0)))
217.0ms	(/ (fma (- 1.0) 1.0 (* (pow (+ x 1.0) 3) (+ x 1.0))) (fma (+ x 1.0) (+ x 1.0) 1.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	475	961
1	2602	853
2	5002	831

prune228.0ms

Filtered

128 candidates to 91 candidates (71.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	2	130

Merged error: 0b

Counts

130 → 2

regimes21.0ms

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

sample575.0ms

Algorithm

intervals

Results

180.0ms	2295×	body	1280	valid
108.0ms	1678×	body	640	valid
103.0ms	5497×	body	80	valid
39.0ms	811×	body	320	valid
15.0ms	378×	body	160	valid