Details

sample51.0ms

Algorithm

intervals

Results

22.0ms	786×	body	80	nan
9.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`times-frac`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`fma-def`
8×	`log-prod` `distribute-lft-out`
5×	`pow1` `div-inv` `add-log-exp`
4×	`add-exp-log` `sqrt-prod`
3×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
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 → 72

Calls

3 calls:

7.0ms	(sqrt (- 1.0 (* x x)))
30.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
39.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series430.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sqrt (- 1.0 (* x x)))
273.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
98.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	443	652
1	1562	605
2	5001	594

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity`
28×	`log-prod`
21×	`unpow-prod-down`
14×	`add-exp-log`
8×	`associate-/r*`
7×	`unpow2` `sqr-pow`
6×	`div-exp`
5×	`pow1` `add-cbrt-cube`
4×	`rem-log-exp` `sqrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`pow-to-exp` `sqrt-div` `pow-exp` `div-inv`
1×	`cbrt-undiv` `rem-sqrt-square` `log-div` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `log-pow` `flip--` `difference-of-squares`

Counts

3 → 112

Calls

3 calls:

10.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))
7.0ms	(/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))

series664.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(sqrt (- 1.0 (* x x)))
485.0ms	(log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))
129.0ms	(/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	565	1494
1	2066	1398
2	5001	1388

prune307.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

660.0ms	23625×	body	80	nan
284.0ms	8000×	body	80	valid