Details

sample136.0ms

Algorithm

intervals

Results

42.0ms	744×	body	80	nan
11.0ms	256×	body	80	valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`sqrt-prod`
10×	`associate-l`
8×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

19.0ms

(* (sqrt (- x 1)) (sqrt x))

series76.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(* (sqrt (- x 1)) (sqrt x))

simplify2.0s

Counts

42 → 42

Iterations

Iter	Nodes
4	2449
3	1040
2	443
1	194
0	87

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
0.4b	(* (sqrt (- x 1)) (sqrt (sqrt x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
36×	`add-sqr-sqrt`
20×	`pow1`
19×	`*-un-lft-identity`
18×	`associate-r`
16×	`add-cube-cbrt`
13×	`sqrt-pow1`
11×	`add-cbrt-cube` `associate-l` `add-exp-log`
10×	`pow-prod-down`
9×	`pow1/2`
6×	`associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-div` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `difference-of-squares`
1×	`difference-of-sqr-1` `distribute-lft-out--`

Counts

4 → 120

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
82.0ms	(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
38.0ms	(* (sqrt (- x 1)) (sqrt (sqrt x)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(sqrt (sqrt x))
232.0ms	(sqrt (sqrt x))
96.0ms	(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
201.0ms	(* (sqrt (- x 1)) (sqrt (sqrt x)))

simplify1.6s

Counts

132 → 132

Iterations

Iter	Nodes
3	3746
2	1419
1	499
0	196

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

27.3b

(sqrt (* (- x 1) x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

8.0ms

(sqrt (* (- x 1) x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(sqrt (* (- x 1) x))

simplify5.4s

Counts

19 → 19

Iterations

Iter	Nodes
5	3773
4	1527
3	622
2	251
1	115
0	53

prune135.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.8s	23946×	body	80	nan
643.0ms	7994×	body	80	valid
1.0ms	6×	body	160	valid