Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	257×	body	80	valid
10.0ms	231×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	18	8
3	25	8
4	45	8
5	84	8
6	125	8
7	169	8
8	261	8
9	591	8
10	2042	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
15.8b	(log (/ x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

15.0ms	(- (* x (log (/ x y))) z)
20.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- (* x (log (/ x y))) z)
67.0ms	(* x (log (/ x y)))
39.0ms	(log (/ x y))

simplify1.2s

Counts

126 → 126

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	215	1393
1	500	1299
2	1513	1223
done	5001	1219

prune476.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series846.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt y)
259.0ms	(cbrt y)
223.0ms	(cbrt y)
135.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify724.0ms

Counts

72 → 72

Iterations

Useful iterations: done (722.0ms)

Iter	Nodes	Cost
0	75	539
1	144	515
2	345	418
3	1230	376
done	5001	373

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `prod-exp` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
2.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

series738.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3))
254.0ms	(cbrt y)
265.0ms	(cbrt y)
113.0ms	(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

simplify528.0ms

Counts

81 → 81

Iterations

Useful iterations: done (526.0ms)

Iter	Nodes	Cost
0	99	816
1	232	696
2	862	619
done	5000	613

prune441.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt x)
305.0ms	(cbrt y)
304.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	46	284
1	81	268
2	210	244
3	640	232
4	1940	232
done	5000	232

prune434.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	34
1	22	34
done	22	34

end0.0ms

sample2.0s

Algorithm

intervals

Results

804.0ms	8040×	body	80	valid
353.0ms	7993×	body	80	nan