Details

sample52.0ms

Algorithm

intervals

Results

12.0ms	271×	body	80	valid
11.0ms	286×	body	80	nan

simplify189.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* y (sqrt z)))
56.0ms	(* y (sqrt z))

simplify5.1s

Counts

39 → 39

Iterations

Useful iterations: 4 (2.6s)

Iter	Nodes	Cost
0	86	362
1	220	323
2	552	297
3	1330	288
4	3985	283
done	5000	283

prune138.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite69.0ms

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))
2.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
49.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(sqrt (sqrt z))
211.0ms	(sqrt (sqrt z))
129.0ms	(* y (sqrt (sqrt z)))
66.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.4s

Counts

100 → 100

Iterations

Useful iterations: done (2.4s)

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

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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:

13.0ms	(pow (/ 1 z) -1/4)
5.0ms	(sqrt (sqrt z))
24.0ms	(* y (pow (/ 1 z) -1/4))
87.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series664.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(pow (/ 1 z) -1/4)
206.0ms	(sqrt (sqrt z))
86.0ms	(* y (pow (/ 1 z) -1/4))
106.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify1.6s

Counts

131 → 131

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	234	1478
1	558	1254
2	1512	1175
done	5001	1130

prune449.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

40.0ms	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
3.0ms	(cbrt (/ 1 z))
3.0ms	(cbrt (/ 1 z))
3.0ms	(cbrt (/ 1 z))

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
315.0ms	(cbrt (/ 1 z))
270.0ms	(cbrt (/ 1 z))
343.0ms	(cbrt (/ 1 z))

simplify2.8s

Counts

165 → 165

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	139	1990
1	218	1549
2	473	1507
3	1308	1479
done	5000	1474

prune724.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	13	10
done	13	10

end0.0ms

sample2.2s

Algorithm

intervals

Results

525.0ms	8480×	body	80	valid
429.0ms	8552×	body	80	nan