Details

sample66.0ms

Algorithm

intervals

Results

36.0ms	785×	body	80	nan
13.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	18	7
3	18	7

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`times-frac`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
16×	`sqrt-prod`
8×	`log-prod`
7×	`associate-/l*`
5×	`add-exp-log`
4×	`add-cbrt-cube` `distribute-lft-out` `difference-of-squares`
3×	`pow1` `log-div` `associate-/r*` `div-inv`
2×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-out` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `frac-add` `clear-num` `log-pow` `flip--` `flip-+`

Counts

2 → 69

Calls

2 calls:

18.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)

series422.0ms

Counts

2 → 6

Calls

2 calls:

291.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
130.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	436	723
1	1521	687
2	5002	677

prune150.0ms

Filtered

75 candidates to 58 candidates (77.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	2	76

Merged error: 0b

Counts

76 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
5.8b	(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`times-frac`
20×	`add-cube-cbrt`
16×	`sqrt-prod`
7×	`associate-/l*`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `log-prod` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `log-pow` `flip--` `flip-+` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

3 → 75

Calls

3 calls:

6.0ms	(log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
1.0ms	(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

series815.0ms

Counts

3 → 9

Calls

3 calls:

295.0ms	(log (+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))))
133.0ms	(/ (sqrt (- 1.0 (* x x))) x)
386.0ms	(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	450	856
1	1579	802
2	5001	767

prune205.0ms

Filtered

84 candidates to 68 candidates (81.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes52.0ms

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	10	7
1	10	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	24033×	body	80	nan
402.0ms	8000×	body	80	valid