Details

sample54.0ms

Algorithm

intervals

Results

30.0ms	302×	body	80	valid
4.0ms	10×	body	640	valid
2.0ms	7×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	62
5	62
4	61
3	49
2	33
1	18
0	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3) (* d1 d2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`associate-+l+`

Counts

2 → 28

Calls

2 calls:

31.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
7.0ms	(+ (* d1 3) (* d1 d2))

series385.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
330.0ms	(+ (* d1 3) (* d1 d2))

simplify569.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	2002
2	768
1	194
0	59

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3 (+ d2 d3)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

54.0ms

(* d1 (+ 3 (+ d2 d3)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* d1 (+ 3 (+ d2 d3)))

simplify546.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2009
2	668
1	167
0	51

prune110.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))
0.4b	(cbrt (+ 3 (+ d2 d3)))
0.4b	(cbrt (+ 3 (+ d2 d3)))
0.4b	(cbrt (+ 3 (+ d2 d3)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

72.0ms	(* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))
16.0ms	(cbrt (+ 3 (+ d2 d3)))
12.0ms	(cbrt (+ 3 (+ d2 d3)))
8.0ms	(cbrt (+ 3 (+ d2 d3)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))
104.0ms	(cbrt (+ 3 (+ d2 d3)))
127.0ms	(cbrt (+ 3 (+ d2 d3)))
132.0ms	(cbrt (+ 3 (+ d2 d3)))

simplify541.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	2001
2	809
1	320
0	130

prune567.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ 3 (+ d2 d3)))
0.4b	(cbrt (+ 3 (+ d2 d3)))
0.4b	(cbrt (+ 3 (+ d2 d3)))
0.4b	(* (* d1 (* (* (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3)))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))))) (cbrt (+ 3 (+ d2 d3))))

rewrite927.0ms

Algorithm

rewrite-expression-head

Rules

16044×	`cbrt-div`
8020×	`frac-times`
5106×	`flip3-+` `flip-+`
3884×	`associate-*r/`
2642×	`associate-*l/`
29×	`*-un-lft-identity`
20×	`cbrt-prod`
18×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
10×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 2264

Calls

4 calls:

8.0ms	(cbrt (+ 3 (+ d2 d3)))
8.0ms	(cbrt (+ 3 (+ d2 d3)))
8.0ms	(cbrt (+ 3 (+ d2 d3)))
523.0ms	(* (* d1 (* (* (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3)))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))))) (cbrt (+ 3 (+ d2 d3))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ 3 (+ d2 d3)))
135.0ms	(cbrt (+ 3 (+ d2 d3)))
146.0ms	(cbrt (+ 3 (+ d2 d3)))
47.0ms	(* (* d1 (* (* (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3)))))) (cbrt (* (cbrt (+ 3 (+ d2 d3))) (cbrt (+ 3 (+ d2 d3))))))) (cbrt (+ 3 (+ d2 d3))))

simplify7.9s

Counts

2276 → 2276

Iterations

Iter	Nodes
done	4641
0	4641

prune29.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample992.0ms

Algorithm

intervals

Results

591.0ms	9467×	body	80	valid
92.0ms	199×	body	640	valid
66.0ms	103×	body	1280	valid
25.0ms	151×	body	320	valid
8.0ms	69×	body	160	valid