Details

sample302.0ms

Algorithm

intervals

Results

22.0ms	809×	body	80	nan
9.0ms	256×	body	80	valid

simplify10.0ms

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

localize7.0ms

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))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	181	216
1	610	206
2	2471	201
3	5002	201

prune80.0ms

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	(* 0.125 (/ 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

8.0ms

(* 0.125 (/ 1 x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.125 (/ 1 x))

simplify77.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	174	138
1	722	114
2	2570	96
3	4879	96
4	5001	96

prune46.0ms

Filtered

39 candidates to 25 candidates (64.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))
5.8b	(exp (log (* (sqrt (- x 1.0)) (sqrt x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

9.0ms	(* (sqrt (- x 1.0)) (sqrt x))
8.0ms	(exp (log (* (sqrt (- x 1.0)) (sqrt x))))

series129.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (sqrt (- x 1.0)) (sqrt x))
67.0ms	(exp (log (* (sqrt (- x 1.0)) (sqrt x))))

simplify78.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	232	329
1	744	311
2	2875	303
3	5001	303

prune105.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) x)
30.1b	(sqrt (* (- x 1.0) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(* (- x 1.0) x)
5.0ms	(sqrt (* (- x 1.0) x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- x 1.0) x)
40.0ms	(sqrt (* (- x 1.0) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	168	164
1	574	147
2	2965	145
3	5001	145

prune56.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	3	44

Merged error: 0b

Counts

44 → 3

regimes36.0ms

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

sample1.2s

Algorithm

intervals

Results

637.0ms	24114×	body	80	nan
224.0ms	7994×	body	80	valid
0.0ms	6×	body	160	valid