Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`times-frac`
20×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`associate-/l*`
8×	`distribute-lft-out--`
4×	`swap-sqr` `associate-l` `*-commutative` `unswap-sqr`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

14.0ms

(/ (- (* x x) 3.0) 6.0)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(/ (- (* x x) 3.0) 6.0)

simplify81.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	226	385
1	683	370
2	2744	367
3	5002	366

prune69.0ms

Filtered

63 candidates to 37 candidates (58.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 0.16666666666666666 (pow x 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

7.0ms

(* 0.16666666666666666 (pow x 2))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* 0.16666666666666666 (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	109	110
1	408	95
2	1981	95
3	5002	94

prune43.0ms

Filtered

33 candidates to 20 candidates (60.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	34	4	38

Merged error: 0b

Counts

38 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x (sqrt 0.16666666666666666))
0.2b	(* x (sqrt 0.16666666666666666))
0.3b	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
56×	`associate-r`
46×	`pow1`
37×	`unswap-sqr`
36×	`associate-l`
34×	`sqrt-prod`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`swap-sqr`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`*-commutative`
4×	`pow-sqr` `pow-prod-up`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus`
1×	`pow2`

Counts

3 → 144

Calls

3 calls:

5.0ms	(* x (sqrt 0.16666666666666666))
5.0ms	(* x (sqrt 0.16666666666666666))
20.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* x (sqrt 0.16666666666666666))
40.0ms	(* x (sqrt 0.16666666666666666))
73.0ms	(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify71.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	300	675
1	2088	568
2	5001	558

prune138.0ms

Filtered

153 candidates to 73 candidates (47.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Merged error: 0b

Counts

157 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.4b	(* (sqrt 0.16666666666666666) (pow x 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
50×	`unswap-sqr`
43×	`associate-r`
34×	`sqrt-prod`
18×	`associate-l`
17×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `unpow2` `sqr-pow`
9×	`pow1` `add-cbrt-cube`
4×	`pow-prod-down` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`

Counts

2 → 106

Calls

2 calls:

17.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
10.0ms	(* (sqrt 0.16666666666666666) (pow x 2))

series119.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
50.0ms	(* (sqrt 0.16666666666666666) (pow x 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	243	696
1	1035	484
2	5002	457

prune118.0ms

Filtered

112 candidates to 56 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

end0.0ms

sample303.0ms

Algorithm

intervals

Results

188.0ms

10576×

body

valid