Details

sample288.0ms

Algorithm

intervals

Results

31.0ms	787×	body	80	nan
7.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite72.0ms

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:

68.0ms

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

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify2.5s

Counts

39 → 39

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	85	403
1	197	376
2	689	356
3	3842	351
done	5000	350

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (+ (/ 0.125 x) 0.5))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`prod-diff`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`distribute-lft-out`
3×	`fma-neg`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `associate--r+` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

59.0ms

(- x (+ (/ 0.125 x) 0.5))

series23.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(- x (+ (/ 0.125 x) 0.5))

simplify907.0ms

Counts

37 → 37

Iterations

Useful iterations: done (905.0ms)

Iter	Nodes	Cost
0	68	776
1	166	568
2	796	431
done	5000	342

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (- x 1.0)) (fabs (cbrt x))) (sqrt (cbrt x)))
0.4b	(* (sqrt (- x 1.0)) (fabs (cbrt x)))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `associate-r` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod` `associate-l`
6×	`associate-*l/`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

71.0ms	(* (* (sqrt (- x 1.0)) (fabs (cbrt x))) (sqrt (cbrt x)))
49.0ms	(* (sqrt (- x 1.0)) (fabs (cbrt x)))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series776.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (* (sqrt (- x 1.0)) (fabs (cbrt x))) (sqrt (cbrt x)))
74.0ms	(* (sqrt (- x 1.0)) (fabs (cbrt x)))
279.0ms	(cbrt x)
259.0ms	(cbrt x)

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	206	1178
1	532	1089
2	2449	984
done	5000	966

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

32.5b

(pow (* x (- x 1.0)) (/ 1 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
2×	`pow-pow` `pow-exp`
1×	`expm1-log1p-u` `pow-to-exp` `unpow-prod-down` `pow-prod-down` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp` `sqr-pow`

Counts

1 → 29

Calls

1 calls:

23.0ms

(pow (* x (- x 1.0)) (/ 1 2))

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

(pow (* x (- x 1.0)) (/ 1 2))

simplify2.0s

Counts

32 → 32

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	89	430
1	249	334
2	896	297
3	3790	278
done	5000	277

prune131.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	24414×	body	80	nan
343.0ms	7988×	body	80	valid
1.0ms	12×	body	160	valid