Details

sample58.0ms

Algorithm

intervals

Results

17.0ms	295×	body	80	valid
2.0ms	8×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify137.0ms

Counts

1 → 1

Iterations

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite106.0ms

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:

105.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify6.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5063
3	3681
2	633
1	166
0	52

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

11.0ms	(+ (* d1 d2) (* d1 (+ 3.0 d3)))
40.0ms	(* d1 (+ 3.0 d3))

series147.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(+ (* d1 d2) (* d1 (+ 3.0 d3)))
55.0ms	(* d1 (+ 3.0 d3))

simplify2.7s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
2	942
1	228
0	74

prune554.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 3.0 d3))
0.0b	(+ (* d1 d2) (* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3))))
0.3b	(* d1 (sqrt (+ 3.0 d3)))
0.3b	(* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*r/` `add-cube-cbrt`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 86

Calls

4 calls:

10.0ms	(sqrt (+ 3.0 d3))
13.0ms	(+ (* d1 d2) (* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3))))
51.0ms	(* d1 (sqrt (+ 3.0 d3)))
100.0ms	(* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (+ 3.0 d3))
72.0ms	(+ (* d1 d2) (* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3))))
104.0ms	(* d1 (sqrt (+ 3.0 d3)))
76.0ms	(* (* d1 (sqrt (+ 3.0 d3))) (sqrt (+ 3.0 d3)))

simplify3.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1609
1	426
0	158

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize117.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

44×	`sqrt-div`
40×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
11×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
10×	`add-cube-cbrt`
8×	`cbrt-prod` `associate-*l/`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(cbrt (+ 3.0 d3))
6.0ms	(cbrt (+ 3.0 d3))
42.0ms	(* d1 (sqrt (+ 3.0 d3)))
191.0ms	(* (* d1 (sqrt (+ 3.0 d3))) (sqrt (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (+ 3.0 d3))
195.0ms	(cbrt (+ 3.0 d3))
103.0ms	(* d1 (sqrt (+ 3.0 d3)))
355.0ms	(* (* d1 (sqrt (+ 3.0 d3))) (sqrt (* (cbrt (+ 3.0 d3)) (cbrt (+ 3.0 d3)))))

simplify3.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1871
1	662
0	273

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes571.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

599.0ms	9592×	body	80	valid
33.0ms	212×	body	640	valid
22.0ms	96×	body	1280	valid
17.0ms	134×	body	320	valid
8.0ms	94×	body	160	valid