Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	272×	body	80	valid
13.0ms	278×	body	80	nan

simplify230.0ms

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))

rewrite21.0ms

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:

19.0ms

(* y (sqrt x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* y (sqrt x))

simplify4.1s

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

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite102.0ms

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:

4.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
33.0ms	(* y (sqrt (sqrt x)))
56.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series679.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(sqrt (sqrt x))
255.0ms	(sqrt (sqrt x))
105.0ms	(* y (sqrt (sqrt x)))
75.0ms	(* (* 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

prune330.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 119

Calls

4 calls:

14.0ms	(pow (/ 1 x) -1/4)
4.0ms	(sqrt (sqrt x))
50.0ms	(* y (pow (/ 1 x) -1/4))
58.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(pow (/ 1 x) -1/4)
198.0ms	(sqrt (sqrt x))
87.0ms	(* y (pow (/ 1 x) -1/4))
149.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify1.5s

Counts

131 → 131

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	234	1478
1	558	1254
2	1512	1175
done	5000	1130

prune431.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

22.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt x) (cbrt x))
282.0ms	(cbrt x)
298.0ms	(cbrt x)
389.0ms	(cbrt x)

simplify4.7s

Counts

85 → 85

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune525.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes138.0ms

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

sample1.9s

Algorithm

intervals

Results

870.0ms	8550×	body	80	nan
451.0ms	8559×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid