Details

sample289.0ms

Algorithm

intervals

Results

15.0ms	813×	body	80	nan
5.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune4.0ms

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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

11.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify72.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	179	216
1	598	206
2	2425	201
3	5001	201

prune60.0ms

Filtered

37 candidates to 25 candidates (67.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (+ 0.5 (* 0.125 (/ 1 x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-log-exp`
3×	`add-sqr-sqrt` `distribute-lft-out--`
2×	`diff-log` `distribute-lft-out` `associate--r+`
1×	`pow1` `add-exp-log` `+-commutative` `add-cube-cbrt` `sub-neg` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

16.0ms

(- x (+ 0.5 (* 0.125 (/ 1 x))))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- x (+ 0.5 (* 0.125 (/ 1 x))))

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	96	137
1	271	128
2	990	126
3	5001	118

prune27.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 101

Calls

4 calls:

8.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))

series601.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
148.0ms	(cbrt (sqrt x))
149.0ms	(cbrt (sqrt x))
149.0ms	(cbrt (sqrt x))

simplify105.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	157	726
1	590	668
2	3262	585
3	5001	558

prune177.0ms

Filtered

113 candidates to 70 candidates (61.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

28.0b

(pow (* (- x 1.0) x) 1/2)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`unpow-prod-down`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt` `associate-l`
4×	`pow1` `add-exp-log`
3×	`pow-unpow` `associate-r`
2×	`pow-pow` `pow-exp`
1×	`pow-to-exp` `pow-prod-down` `prod-exp` `*-commutative` `add-cbrt-cube` `distribute-lft-out--` `unpow1/2` `add-log-exp` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

1 → 31

Calls

1 calls:

7.0ms

(pow (* (- x 1.0) x) 1/2)

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(pow (* (- x 1.0) x) 1/2)

simplify119.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	242	203
1	780	184
2	4046	174
3	5001	174

prune45.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Merged error: 0b

Counts

37 → 3

regimes18.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample926.0ms

Algorithm

intervals

Results

417.0ms	23991×	body	80	nan
163.0ms	7991×	body	80	valid
0.0ms	9×	body	160	valid