Details

sample157.0ms

Algorithm

intervals

Results

47.0ms	768×	body	80	nan
15.0ms	256×	body	80	valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite65.0ms

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:

58.0ms

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

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

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

simplify4.6s

Counts

39 → 39

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	85	403
1	188	370
2	451	354
3	1053	351
4	2875	350
done	5002	348

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
122.0ms	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
36.0ms	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(sqrt (sqrt x))
185.0ms	(sqrt (sqrt x))
85.0ms	(* (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (sqrt x)))
229.0ms	(* (sqrt (- x 1.0)) (sqrt (sqrt x)))

simplify3.0s

Counts

126 → 126

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	196	1422
1	497	1169
2	1381	1078
3	3986	1066
done	5000	1063

prune361.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.0s	24053×	body	80	nan
487.0ms	7995×	body	80	valid
0.0ms	5×	body	160	valid