Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	329×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	24	9
3	30	9
4	32	9
done	32	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(+ (* x (+ y z)) (* z 5.0))
6.0ms	(* x (+ y z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x (+ y z)) (* z 5.0))
7.0ms	(* x (+ y z))

simplify790.0ms

Counts

42 → 42

Iterations

Useful iterations: 3 (230.0ms)

Iter	Nodes	Cost
0	73	422
1	227	397
2	672	358
3	2152	356
done	5001	356

prune68.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ 5.0 x)))
0.0b	(* z (+ 5.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ 5.0 x)))
6.0ms	(* z (+ 5.0 x))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (* z (+ 5.0 x)))
6.0ms	(* z (+ 5.0 x))

simplify848.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	72	422
1	221	399
2	702	360
3	2317	360
done	5001	360

prune68.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.0b	(cbrt (* x (+ y z)))
3.0b	(cbrt (* x (+ y z)))
3.0b	(cbrt (* x (+ y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
5.0ms	(cbrt (* x (+ y z)))
5.0ms	(cbrt (* x (+ y z)))
5.0ms	(cbrt (* x (+ y z)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
37.0ms	(cbrt (* x (+ y z)))
32.0ms	(cbrt (* x (+ y z)))
31.0ms	(cbrt (* x (+ y z)))

simplify1.5s

Counts

84 → 84

Iterations

Useful iterations: 4 (631.0ms)

Iter	Nodes	Cost
0	114	1178
1	259	1070
2	716	955
3	1925	881
4	4742	837
done	5000	837

prune112.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series104.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt x) (cbrt x))
30.0ms	(cbrt x)
23.0ms	(cbrt x)
24.0ms	(cbrt x)

simplify747.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (323.0ms)

Iter	Nodes	Cost
0	76	590
1	151	526
2	449	466
3	1164	417
4	2497	378
done	5001	378

prune86.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample722.0ms

Algorithm

intervals

Results

298.0ms	9918×	body	80	valid
14.0ms	113×	body	1280	valid
10.0ms	97×	body	640	valid
6.0ms	85×	body	320	valid
1.0ms	28×	body	160	valid

Details

sample25.0ms

simplify14.0ms

prune10.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify790.0ms

prune68.0ms

localize13.0ms

rewrite11.0ms

series14.0ms

simplify848.0ms

prune68.0ms

localize17.0ms

rewrite24.0ms

series144.0ms

simplify1.5s

prune112.0ms

localize10.0ms

rewrite12.0ms

series104.0ms

simplify747.0ms

prune86.0ms

regimes160.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample722.0ms

Profiling