Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	267×	body	80	valid
5.0ms	248×	body	80	nan

simplify151.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	25	7
3	42	7
4	65	7
5	86	7
6	103	7
7	124	7
8	147	7
9	154	7
10	162	7
11	166	7
done	166	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

4.0ms

(* y (sqrt x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (sqrt x))

simplify2.8s

Counts

27 → 27

Iterations

Useful iterations: 4 (872.0ms)

Iter	Nodes	Cost
0	65	220
1	155	197
2	380	183
3	1197	175
4	3742	170
done	5000	170

prune68.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
18.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (sqrt x))
144.0ms	(sqrt (sqrt x))
75.0ms	(* y (sqrt (sqrt x)))
39.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.0s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	138	963
1	355	754
2	1064	688
3	3553	671
done	5000	671

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 111

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
9.0ms	(* y (sqrt (sqrt (sqrt x))))
85.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
27.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt x))
94.0ms	(* y (sqrt (sqrt (sqrt x))))
47.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
81.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify934.0ms

Counts

123 → 123

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	188	1613
1	491	1127
2	1610	899
done	5000	876

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
0.3b	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod`
24×	`add-sqr-sqrt`
21×	`associate-r`
20×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 93

Calls

4 calls:

45.0ms	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
8.0ms	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))

series574.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* y (* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))) (sqrt (sqrt x)))
168.0ms	(* (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))))
153.0ms	(cbrt (sqrt x))
149.0ms	(cbrt (sqrt x))

simplify539.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	162	1395
1	392	1261
2	1406	1112
done	5000	1112

prune306.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample604.0ms

Algorithm

intervals

Results

178.0ms	8505×	body	80	valid
171.0ms	8496×	body	80	nan