Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
11.0ms	258×	body	80	nan

simplify169.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	47	10
3	71	10
4	103	10
5	120	10
6	133	10
7	143	10
done	143	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt z))

rewrite15.0ms

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:

14.0ms

(* y (sqrt z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* y (sqrt z))

simplify3.5s

Counts

25 → 25

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	63	210
1	149	187
2	351	173
3	830	165
4	2498	160
done	5000	160

prune116.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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:

3.0ms	(sqrt (sqrt z))
3.0ms	(sqrt (sqrt z))
21.0ms	(* y (sqrt (sqrt z)))
64.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(sqrt (sqrt z))
209.0ms	(sqrt (sqrt z))
110.0ms	(* y (sqrt (sqrt z)))
65.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.3s

Counts

100 → 100

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	132	915
1	339	716
2	963	650
3	2584	634
done	5000	618

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

4.0ms	(sqrt (sqrt z))
22.0ms	(* y (sqrt (sqrt z)))
60.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series428.0ms

Counts

3 → 9

Calls

3 calls:

210.0ms	(sqrt (sqrt z))
105.0ms	(* y (sqrt (sqrt z)))
113.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	168	839
1	435	735
2	1383	683
done	5000	646

prune245.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.3b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (pow z 1/4))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
45×	`prod-exp`
32×	`add-sqr-sqrt` `unpow-prod-down`
27×	`pow-exp`
24×	`associate-r`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
12×	`pow-to-exp`
10×	`div-exp` `add-cbrt-cube`
5×	`pow1` `rec-exp` `1-exp` `unswap-sqr`
4×	`associate-l` `cbrt-unprod` `sqr-pow`
3×	`pow-unpow` `pow-pow` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`pow-flip` `inv-pow`

Counts

3 → 111

Calls

3 calls:

9.0ms	(pow (/ 1 z) -1/4)
30.0ms	(* y (pow (/ 1 z) -1/4))
63.0ms	(* (* y (pow (/ 1 z) -1/4)) (pow z 1/4))

series471.0ms

Counts

3 → 9

Calls

3 calls:

297.0ms	(pow (/ 1 z) -1/4)
106.0ms	(* y (pow (/ 1 z) -1/4))
67.0ms	(* (* y (pow (/ 1 z) -1/4)) (pow z 1/4))

simplify4.3s

Counts

120 → 120

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	203	1427
1	463	1213
2	1175	1138
3	4561	1014
done	5000	817

prune319.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes337.0ms

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	10	10
1	13	10
done	13	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

911.0ms	8535×	body	80	valid
453.0ms	8656×	body	80	nan
0.0ms	1×	body	160	valid