Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	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

simplify40.0ms

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

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite72.0ms

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:

71.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.4s

Counts

28 → 28

Iterations

Iter	Nodes
done	5068
3	3856
2	623
1	164
0	51

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

9.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))
25.0ms	(* d1 (+ 3 d3))

series101.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* d1 d2) (* d1 (+ 3 d3)))
49.0ms	(* d1 (+ 3 d3))

simplify1.1s

Counts

45 → 45

Iterations

Iter	Nodes
done	5006
2	980
1	235
0	73

prune209.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 3 d3))
0.0b	(+ (* d1 d2) (* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3))))
0.3b	(* d1 (sqrt (+ 3 d3)))
0.3b	(* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3)))

rewrite134.0ms

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:

6.0ms	(sqrt (+ 3 d3))
9.0ms	(+ (* d1 d2) (* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3))))
34.0ms	(* d1 (sqrt (+ 3 d3)))
83.0ms	(* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ 3 d3))
44.0ms	(+ (* d1 d2) (* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3))))
75.0ms	(* d1 (sqrt (+ 3 d3)))
47.0ms	(* (* d1 (sqrt (+ 3 d3))) (sqrt (+ 3 d3)))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1625
1	426
0	157

prune439.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
6.4b	(* d1 (- 9 (* d3 d3)))
9.2b	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r*` `times-frac` `add-log-exp`
4×	`associate-r` `associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

40.0ms	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
35.0ms	(* d1 (- 9 (* d3 d3)))
41.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

series298.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* d1 d2) (/ (* d1 (- 9 (* d3 d3))) (- 3 d3)))
75.0ms	(* d1 (- 9 (* d3 d3)))
121.0ms	(/ (* d1 (- 9 (* d3 d3))) (- 3 d3))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1481
1	388
0	136

prune316.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

889.0ms	9592×	body	80	valid
46.0ms	96×	body	1280	valid
38.0ms	212×	body	640	valid
17.0ms	134×	body	320	valid
8.0ms	94×	body	160	valid