Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	306×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3.0 d3)))

rewrite88.0ms

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-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

86.0ms

(* d1 (+ d2 (+ 3.0 d3)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* d1 (+ d2 (+ 3.0 d3)))

simplify2.5s

Counts

27 → 27

Iterations

Iter	Nodes
done	5134
3	3362
2	622
1	164
0	51

prune172.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 3.0 d3) d1)
0.0b	(+ (* d2 d1) (* (+ 3.0 d3) d1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

18.0ms	(* (+ 3.0 d3) d1)
14.0ms	(+ (* d2 d1) (* (+ 3.0 d3) d1))

series110.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (+ 3.0 d3) d1)
54.0ms	(+ (* d2 d1) (* (+ 3.0 d3) d1))

simplify2.6s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	3176
2	651
1	197
0	67

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 3.0 d3))
0.2b	(cbrt (+ 3.0 d3))
0.3b	(* (cbrt (+ 3.0 d3)) d1)
0.3b	(* (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3))) (* (cbrt (+ 3.0 d3)) d1))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`pow1` `add-exp-log`
15×	`*-un-lft-identity`
13×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-l` `associate-*r/`
4×	`associate-r` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

6.0ms	(cbrt (+ 3.0 d3))
5.0ms	(cbrt (+ 3.0 d3))
33.0ms	(* (cbrt (+ 3.0 d3)) d1)
132.0ms	(* (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3))) (* (cbrt (+ 3.0 d3)) d1))

series598.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (+ 3.0 d3))
132.0ms	(cbrt (+ 3.0 d3))
273.0ms	(* (cbrt (+ 3.0 d3)) d1)
49.0ms	(* (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3))) (* (cbrt (+ 3.0 d3)) d1))

simplify1.7s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1708
1	590
0	203

prune668.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

11.0ms	(cbrt (+ d2 (+ 3.0 d3)))
10.0ms	(cbrt (+ d2 (+ 3.0 d3)))
10.0ms	(cbrt (+ d2 (+ 3.0 d3)))
431.0ms	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ d2 (+ 3.0 d3)))
127.0ms	(cbrt (+ d2 (+ 3.0 d3)))
125.0ms	(cbrt (+ d2 (+ 3.0 d3)))
40.0ms	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1495
1	481
0	168

prune689.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes240.0ms

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	12
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

574.0ms	9594×	body	80	valid
65.0ms	195×	body	640	valid
21.0ms	173×	body	320	valid
16.0ms	76×	body	1280	valid
9.0ms	102×	body	160	valid