Details

sample147.0ms

Algorithm

intervals

Results

45.0ms	774×	body	80	nan
13.0ms	256×	body	80	valid

simplify64.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite122.0ms

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×	`flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

118.0ms

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

series170.0ms

Counts

1 → 3

Calls

1 calls:

169.0ms

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

simplify4.7s

Counts

40 → 40

Iterations

Iter	Nodes
5	4591
4	1986
3	920
2	390
1	184
0	85

prune358.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (- -1/2 (/ 1/8 x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
2×	`associate-+r+` `sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out--`

Counts

1 → 18

Calls

1 calls:

31.0ms

(+ x (- -1/2 (/ 1/8 x)))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ x (- -1/2 (/ 1/8 x)))

simplify1.9s

Counts

21 → 21

Iterations

Iter	Nodes
4	4275
3	1196
2	270
1	95
0	39

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) x)
31.9b	(sqrt (- (* x x) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3--` `add-cbrt-cube` `distribute-rgt-out--` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 33

Calls

2 calls:

8.0ms	(- (* x x) x)
9.0ms	(sqrt (- (* x x) x))

series119.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* x x) x)
42.0ms	(sqrt (- (* x x) x))

simplify2.4s

Counts

39 → 39

Iterations

Iter	Nodes
4	3995
3	1171
2	363
1	144
0	68

prune282.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.8s	24144×	body	80	nan
587.0ms	7989×	body	80	valid
1.0ms	11×	body	160	valid