Details

sample295.0ms

Algorithm

intervals

Results

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

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×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 36

Calls

1 calls:

11.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	188	226
1	635	215
2	2636	210
3	5002	210

prune75.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0b

Counts

3 → 3

localize13.0ms

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×	`expm1-log1p-u` `log-div` `flip3--` `exp-diff` `flip--` `log1p-expm1-u` `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 → 56

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (sqrt (- x 1.0)) (sqrt x))
68.0ms	(exp (log (* (sqrt (- x 1.0)) (sqrt x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	243	349
1	781	329
2	3075	321
3	5002	321

prune119.0ms

Filtered

62 candidates to 44 candidates (71.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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×	`expm1-log1p-u` `flip3--` `sqrt-pow1` `sqrt-div` `pow-prod-down` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`pow1/2` `prod-exp` `sqrt-prod` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- x 1.0) x)
43.0ms	(sqrt (* (- x 1.0) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	177	178
1	612	161
2	3175	158
3	5001	158

prune67.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	45	3	48

Merged error: 0b

Counts

48 → 3

regimes38.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

620.0ms	24114×	body	80	nan
222.0ms	7994×	body	80	valid
0.0ms	6×	body	160	valid