Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	205×	body	80	valid
11.0ms	36×	body	640	valid
9.0ms	19×	body	1280	valid
5.0ms	25×	body	320	valid
3.0ms	76×	body	80	nan
1.0ms	9×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	108	11
5	244	11
6	577	11
7	1850	11
done	5000	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
5.1b	(pow (/ y (+ z y)) y)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

105.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
18.0ms	(/ y (+ z y))
23.0ms	(pow (/ y (+ z y)) y)

series484.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
66.0ms	(/ y (+ z y))
292.0ms	(pow (/ y (+ z y)) y)

simplify2.0s

Counts

87 → 87

Iterations

Useful iterations: 3 (957.0ms)

Iter	Nodes	Cost
0	158	1091
1	390	1024
2	976	970
3	2786	964
done	5002	964

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.2b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
32.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
55.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt y)
215.0ms	(cbrt y)
359.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
395.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.4s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	295	2319
1	678	2162
2	1468	1952
3	4244	1927
done	5000	1927

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.2b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.2b	(pow (/ (cbrt y) (cbrt (+ z y))) y)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
138×	`cbrt-prod`
126×	`times-frac`
125×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`cbrt-div` `pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 200

Calls

4 calls:

1.0ms	(cbrt y)
19.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
25.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
20.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt y)
377.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
345.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
354.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

simplify1.8s

Counts

212 → 212

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	208	3938
1	459	3679
2	934	3592
3	2400	3562
done	5000	3550

prune937.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
5.1b	(pow (/ y (+ z y)) y)
5.1b	(pow (/ y (+ z y)) y)
5.1b	(pow (/ y (+ z y)) y)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
52×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 113

Calls

4 calls:

107.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
24.0ms	(pow (/ y (+ z y)) y)
21.0ms	(pow (/ y (+ z y)) y)
14.0ms	(pow (/ y (+ z y)) y)

series1.7s

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
302.0ms	(pow (/ y (+ z y)) y)
668.0ms	(pow (/ y (+ z y)) y)
355.0ms	(pow (/ y (+ z y)) y)

simplify2.1s

Counts

125 → 125

Iterations

Useful iterations: 3 (948.0ms)

Iter	Nodes	Cost
0	176	1932
1	423	1806
2	994	1752
3	2915	1722
done	5001	1722

prune549.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.9b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	33
1	15	33
done	15	33

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	739×	body	1280	valid
637.0ms	6463×	body	80	valid
578.0ms	975×	body	640	valid
286.0ms	3145×	body	80	nan
282.0ms	592×	body	320	valid
65.0ms	336×	body	160	valid