Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
14.0ms	273×	body	80	nan

simplify214.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	55	8
5	60	8
6	69	8
7	86	8
8	101	8
9	108	8
10	116	8
done	116	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (sqrt x))

rewrite18.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

17.0ms

(* y (sqrt x))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* y (sqrt x))

simplify4.0s

Counts

25 → 25

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	63	210
1	149	187
2	350	173
3	849	165
4	2595	160
done	5000	160

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

5.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
27.0ms	(* y (sqrt (sqrt x)))
80.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(sqrt (sqrt x))
202.0ms	(sqrt (sqrt x))
129.0ms	(* y (sqrt (sqrt x)))
78.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.0s

Counts

100 → 100

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	962	650
3	2804	634
done	5000	624

prune358.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

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×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
19.0ms	(* y (sqrt (sqrt (sqrt x))))
225.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
86.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(sqrt (sqrt x))
170.0ms	(* y (sqrt (sqrt (sqrt x))))
60.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))
124.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify4.5s

Counts

115 → 115

Iterations

Useful iterations: 3 (2.8s)

Iter	Nodes	Cost
0	180	1535
1	465	1073
2	1491	855
3	4717	833
done	5000	833

prune408.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(sqrt (sqrt x))
0.3b	(* (pow x 1/4) y)
0.3b	(* (* (pow x 1/4) y) (sqrt (sqrt x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

19×	`sqrt-prod`
18×	`add-exp-log` `add-sqr-sqrt`
12×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `add-cbrt-cube`
8×	`associate-l`
7×	`pow1`
4×	`unpow-prod-down` `sqrt-pow1` `cbrt-unprod`
3×	`add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`pow-prod-down`

Counts

3 → 69

Calls

3 calls:

4.0ms	(sqrt (sqrt x))
25.0ms	(* (pow x 1/4) y)
63.0ms	(* (* (pow x 1/4) y) (sqrt (sqrt x)))

series515.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(sqrt (sqrt x))
139.0ms	(* (pow x 1/4) y)
161.0ms	(* (* (pow x 1/4) y) (sqrt (sqrt x)))

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	813
1	397	713
2	1314	661
done	5000	625

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

924.0ms	8539×	body	80	valid
435.0ms	8527×	body	80	nan