Details

sample226.0ms

Algorithm

intervals

Results

121.0ms	744×	body	80	nan
19.0ms	256×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

39.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

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

simplify2.0s

Counts

42 → 42

Iterations

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

prune391.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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

prune10.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))
0.3b	(* (fabs (cbrt x)) (sqrt (+ x -1)))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

56.0ms	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))
16.0ms	(* (fabs (cbrt x)) (sqrt (+ x -1)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series782.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))
81.0ms	(* (fabs (cbrt x)) (sqrt (+ x -1)))
239.0ms	(cbrt x)
305.0ms	(cbrt x)

simplify2.4s

Counts

98 → 98

Iterations

Iter	Nodes
3	5434
2	1603
1	521
0	206

prune941.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

31.8b

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

rewrite17.0ms

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:

16.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify6.0s

Counts

19 → 19

Iterations

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

prune129.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.3s	23724×	body	80	nan
964.0ms	7997×	body	80	valid
0.0ms	3×	body	160	valid