Details

sample69.0ms

Algorithm

intervals

Results

15.0ms	24×	body	1280	valid
13.0ms	212×	body	80	valid
10.0ms	27×	body	640	valid
5.0ms	20×	body	320	valid
5.0ms	108×	body	80	nan
1.0ms	7×	body	160	valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b	(/ y (+ z y))
5.4b	(pow (/ y (+ z y)) y)

rewrite87.0ms

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:

58.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
14.0ms	(/ y (+ z y))
13.0ms	(pow (/ y (+ z y)) y)

series348.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
44.0ms	(/ y (+ z y))
231.0ms	(pow (/ y (+ z y)) y)

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (846.0ms)

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

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
1.5b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (+ z y))
6.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
26.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series648.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ z y))
124.0ms	(cbrt (+ z y))
127.0ms	(cbrt (+ z y))
268.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	165	1381
1	399	1290
2	916	1166
3	2699	1140
done	5000	1130

prune307.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
3.3b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
134.0ms	(cbrt (+ z y))
131.0ms	(cbrt (+ z y))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.7s

Counts

110 → 110

Iterations

Useful iterations: 4 (895.0ms)

Iter	Nodes	Cost
0	196	1451
1	372	1354
2	714	1295
3	1467	1252
4	3606	1246
done	5000	1246

prune395.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

11.0ms	(/ (exp (- z)) y)
13.0ms	(+ x (/ (exp (- z)) y))

series48.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (exp (- z)) y)
27.0ms	(+ x (/ (exp (- z)) y))

simplify2.9s

Counts

47 → 47

Iterations

Useful iterations: 4 (1.5s)

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

prune96.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

324.0ms	750×	body	1280	valid
298.0ms	6546×	body	80	valid
247.0ms	951×	body	640	valid
89.0ms	2963×	body	80	nan
87.0ms	532×	body	320	valid
39.0ms	354×	body	160	valid