Details

sample281.0ms

Algorithm

intervals

Results

15.0ms	854×	body	80	nan
5.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

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:

10.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify78.0ms

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

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (sqrt x) (sqrt 1.0)))
0.1b	(sqrt (+ (sqrt x) (sqrt 1.0)))
0.2b	(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
0.4b	(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

55×	`sqrt-prod`
46×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`associate-l`
18×	`pow1` `sqrt-div`
12×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `associate-*l/`
8×	`difference-of-squares`
7×	`sqrt-pow1` `pow1/2` `associate-r`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `hypot-def` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`sqrt-unprod`
2×	`rem-sqrt-square` `associate-r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

9.0ms	(sqrt (- (sqrt x) (sqrt 1.0)))
6.0ms	(sqrt (+ (sqrt x) (sqrt 1.0)))
18.0ms	(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
12.0ms	(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

167.0ms	(sqrt (- (sqrt x) (sqrt 1.0)))
127.0ms	(sqrt (+ (sqrt x) (sqrt 1.0)))
854.0ms	(* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))
297.0ms	(* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))

simplify99.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	1038	1727
1	3931	1558
2	5001	1528

prune376.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample905.0ms

Algorithm

intervals

Results

411.0ms	24039×	body	80	nan
158.0ms	7992×	body	80	valid
0.0ms	8×	body	160	valid