Details

sample49.0ms

Algorithm

intervals

Results

21.0ms	786×	body	80	nan
9.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`log-prod` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `sqrt-prod` `div-inv`
3×	`log-div` `add-cbrt-cube`
2×	`distribute-rgt-out` `flip3-+` `sqrt-div` `frac-add` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log` `log-pow` `flip--` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

5.0ms	(sqrt (- 1.0 (* x x)))
30.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
37.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series458.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(sqrt (- 1.0 (* x x)))
311.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
95.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	421	621
1	1447	576
2	5001	565

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2)))
27.5b	(/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
16×	`times-frac`
13×	`add-sqr-sqrt`
12×	`log-prod` `div-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`associate-/r*` `add-cbrt-cube`
7×	`rem-log-exp`
6×	`prod-exp`
5×	`pow1`
4×	`pow-to-exp` `pow-exp` `sqrt-prod`
3×	`unpow2` `add-log-exp` `sqr-pow`
2×	`cbrt-undiv` `sqrt-div` `associate-*r/` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `log-div` `flip3--` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `clear-num` `log-pow` `flip--` `cbrt-unprod` `flip-+` `associate-/l*` `difference-of-squares`

Counts

3 → 81

Calls

3 calls:

8.0ms	(sqrt (- 1.0 (* x x)))
15.0ms	(log (/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2)))
23.0ms	(/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2))

series426.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sqrt (- 1.0 (* x x)))
273.0ms	(log (/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2)))
95.0ms	(/ (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	537	805
1	2567	687
2	5001	677

prune206.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

664.0ms	23625×	body	80	nan
285.0ms	8000×	body	80	valid