Details

sample69.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
22.0ms	256×	pre	80	true

simplify198.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.6b	(+ a (+ b (+ c d)))

rewrite73.0ms

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:

23.0ms	(+ b (+ c d))
49.0ms	(+ a (+ b (+ c d)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ b (+ c d))
54.0ms	(+ a (+ b (+ c d)))

simplify468.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2001
2	601
1	166
0	57

prune200.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite61.0ms

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:

61.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify476.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	2003
2	525
1	110
0	41

prune143.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))

rewrite610.0ms

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:

401.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
63.0ms	(+ a (+ (+ b c) d))
91.0ms	(+ a (+ (+ b c) d))
53.0ms	(+ a (+ (+ b c) d))

series206.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
57.0ms	(+ a (+ (+ b c) d))
41.0ms	(+ a (+ (+ b c) d))
35.0ms	(+ a (+ (+ b c) d))

simplify607.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
1	430
0	145

prune651.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
2.6b	(+ (+ a (+ b c)) d)
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))

rewrite636.0ms

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:

441.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
89.0ms	(+ (+ a (+ b c)) d)
55.0ms	(+ a (+ (+ b c) d))
49.0ms	(+ a (+ (+ b c) d))

series274.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
45.0ms	(+ (+ a (+ b c)) d)
53.0ms	(+ a (+ (+ b c) d))
37.0ms	(+ a (+ (+ b c) d))

simplify637.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2006
1	561
0	177

prune473.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.8b

regimes1.6s

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

548.0ms	8000×	body	80	valid
483.0ms	8000×	pre	80	true