Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify156.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	285
5	285
4	252
3	123
2	51
1	17
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

11.0ms	(+ b (+ c d))
57.0ms	(+ a (+ b (+ c d)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ b (+ c d))
39.0ms	(+ a (+ b (+ c d)))

simplify848.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2001
3	2001
2	601
1	166
0	57

prune210.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 18

Calls

1 calls:

50.0ms

(+ a (+ (+ b c) d))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ a (+ (+ b c) d))

simplify900.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	2008
3	2008
2	525
1	110
0	41

prune110.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite440.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative` `associate-+r+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 91

Calls

4 calls:

300.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
51.0ms	(+ a (+ (+ b c) d))
43.0ms	(+ a (+ (+ b c) d))
45.0ms	(+ a (+ (+ b c) d))

series166.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
32.0ms	(+ a (+ (+ b c) d))
32.0ms	(+ a (+ (+ b c) d))
34.0ms	(+ a (+ (+ b c) d))

simplify959.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
2	2000
1	430
0	145

prune597.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
2.8b	(+ (+ a (+ b c)) d)
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative`
2×	`associate-+r+`
1×	`cbrt-prod` `associate-+l+` `pow1/3`

Counts

4 → 90

Calls

4 calls:

312.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
57.0ms	(+ (+ a (+ b c)) d)
68.0ms	(+ a (+ (+ b c) d))
74.0ms	(+ a (+ (+ b c) d))

series266.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
48.0ms	(+ (+ a (+ b c)) d)
45.0ms	(+ a (+ (+ b c) d))
42.0ms	(+ a (+ (+ b c) d))

simplify940.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2006
2	2006
1	561
0	177

prune403.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 1.0b

regimes955.0ms

Accuracy

0% (1.7b remaining)

Error of 2.7b against oracle of 1.0b and baseline of 2.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

500.0ms	8000×	pre	80	true
454.0ms	8000×	body	80	valid