Details

sample146.0ms

Algorithm

intervals

Results

78.0ms	745×	body	80	nan
11.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	6

prune4.0ms

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))

rewrite21.0ms

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))

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

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

simplify2.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	1365
2	493
1	199
0	87

prune127.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x 1))
0.5b	(cbrt (- x 1))
0.5b	(cbrt (- x 1))
0.6b	(* (cbrt (- x 1)) (cbrt (- x 1)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod`
55×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
18×	`cbrt-div`
16×	`difference-of-squares`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow1/3` `difference-of-sqr-1` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 127

Calls

4 calls:

6.0ms	(cbrt (- x 1))
5.0ms	(cbrt (- x 1))
3.0ms	(cbrt (- x 1))
25.0ms	(* (cbrt (- x 1)) (cbrt (- x 1)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (- x 1))
69.0ms	(cbrt (- x 1))
77.0ms	(cbrt (- x 1))
69.0ms	(* (cbrt (- x 1)) (cbrt (- x 1)))

simplify2.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5007
3	3176
2	997
1	360
0	157

prune685.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
41×	`add-sqr-sqrt` `associate-+l+`
39×	`prod-diff`
36×	`add-cube-cbrt`
28×	`times-frac`
6×	`fma-def` `add-log-exp`
3×	`div-inv`
2×	`sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sub-neg` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `associate-+l-` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 65

Calls

1 calls:

65.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify2.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5006
3	1501
2	352
1	133
0	57

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1) x)
32.5b	(sqrt (* (- x 1) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

30.0ms	(* (- x 1) x)
8.0ms	(sqrt (* (- x 1) x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (- x 1) x)
53.0ms	(sqrt (* (- x 1) x))

simplify4.3s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
4	3651
3	1291
2	461
1	193
0	84

prune184.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.7s	23634×	body	80	nan
710.0ms	7994×	body	80	valid
1.0ms	6×	body	160	valid