Details

sample74.0ms

Algorithm

intervals

Results

19.0ms	22×	body	1280	valid
15.0ms	219×	body	80	valid
13.0ms	35×	body	640	valid
5.0ms	18×	body	320	valid
4.0ms	84×	body	80	nan
2.0ms	15×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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: 4.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
3.6b	(pow (/ y (+ z y)) y)

rewrite160.0ms

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:

20.0ms	(/ y (+ z y))
111.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
24.0ms	(pow (/ y (+ z y)) y)

series464.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ y (+ z y))
97.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
301.0ms	(pow (/ y (+ z y)) y)

simplify1.9s

Counts

87 → 87

Iterations

Useful iterations: 3 (971.0ms)

Iter	Nodes	Cost
0	158	1091
1	390	1024
2	978	970
3	2783	964
done	5000	964

prune281.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.7b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
35.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt y)
272.0ms	(cbrt y)
266.0ms	(cbrt y)
387.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	150	1093
1	359	1017
2	805	899
3	2403	873
done	5000	869

prune665.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 95

Calls

4 calls:

8.0ms	(cbrt (+ z y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series862.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (+ z y))
255.0ms	(cbrt y)
306.0ms	(cbrt y)
126.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.4s

Counts

107 → 107

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	196	1355
1	372	1263
2	713	1206
3	1469	1163
4	3607	1159
done	5001	1159

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.0b	(+ x (/ (exp (- z)) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

26.0ms	(/ (exp (- z)) y)
23.0ms	(+ x (/ (exp (- z)) y))

series53.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (exp (- z)) y)
29.0ms	(+ x (/ (exp (- z)) y))

simplify4.5s

Counts

47 → 47

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	85	468
1	180	441
2	453	414
3	1159	412
4	4908	411
done	5000	411

prune172.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

47% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.0b

bsearch56.0ms

Steps

Iters	Range		Point
5	-1.1168504929064998e+61	-3.9318667429202374e+60	-5.528608899369224e+60

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	38
1	29	38
done	29	38

end0.0ms

sample3.3s

Algorithm

intervals

Results

933.0ms	747×	body	1280	valid
700.0ms	6541×	body	80	valid
568.0ms	992×	body	640	valid
331.0ms	3054×	body	80	nan
268.0ms	564×	body	320	valid
70.0ms	314×	body	160	valid