Details

sample12.0ms

Algorithm

intervals

Results

3.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (+ (* x x) x))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* x (+ (* x x) x))

simplify106.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	129	117
1	713	102
2	3504	100
3	5002	99

prune37.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (pow x 2) (+ x 1))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log` `*-un-lft-identity`
4×	`add-cube-cbrt` `unpow-prod-down` `associate-r` `unswap-sqr`
3×	`prod-exp` `add-cbrt-cube`
2×	`associate-*r/` `unpow2` `sqr-pow`
1×	`pow1` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

7.0ms

(* (pow x 2) (+ x 1))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (pow x 2) (+ x 1))

simplify37.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	183	153
1	923	134
2	5001	131

prune39.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1))
0.0b	(* (sqrt (+ x 1)) x)
0.0b	(* (sqrt (+ x 1)) x)
0.0b	(* (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
20×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`sqrt-div` `associate-*l/`
17×	`*-un-lft-identity`
15×	`associate-l`
14×	`sqrt-prod`
11×	`add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+`
7×	`associate-r`
4×	`frac-times` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`*-commutative` `distribute-lft-out`
2×	`pow-plus` `associate-*r/`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr`

Counts

4 → 108

Calls

4 calls:

3.0ms	(sqrt (+ x 1))
6.0ms	(* (sqrt (+ x 1)) x)
7.0ms	(* (sqrt (+ x 1)) x)
13.0ms	(* (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x))

series164.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (+ x 1))
44.0ms	(* (sqrt (+ x 1)) x)
50.0ms	(* (sqrt (+ x 1)) x)
44.0ms	(* (* (sqrt (+ x 1)) x) (* (sqrt (+ x 1)) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	289	612
1	1334	512
2	5001	510

prune142.0ms

Filtered

120 candidates to 69 candidates (57.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 3/2) (+ x 1))
0.2b	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`associate-l`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `add-log-exp` `sqr-pow`
1×	`pow-prod-down` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

7.0ms	(* (pow x 3/2) (+ x 1))
10.0ms	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 3/2) (+ x 1))
83.0ms	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	314	374
1	1625	331
2	5002	331

prune88.0ms

Filtered

64 candidates to 42 candidates (65.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Merged error: 0b

Counts

68 → 4

regimes13.0ms

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	6	3
1	6	3

end0.0ms

sample277.0ms

Algorithm

intervals

Results

106.0ms	8000×	body	80	valid
75.0ms	8000×	pre	80	true