Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	256×	pre	80	true
17.0ms	256×	body	80	valid

simplify179.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite46.0ms

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:

12.0ms	(+ b (+ c d))
33.0ms	(+ a (+ b (+ c d)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ b (+ c d))
57.0ms	(+ a (+ b (+ c d)))

simplify939.0ms

Counts

40 → 40

Iterations

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

prune389.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

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:

77.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.0s

Counts

21 → 21

Iterations

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

prune233.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite637.0ms

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:

423.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
88.0ms	(+ a (+ (+ b c) d))
67.0ms	(+ a (+ (+ b c) d))
57.0ms	(+ a (+ (+ b c) d))

series222.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
41.0ms	(+ a (+ (+ b c) d))
53.0ms	(+ a (+ (+ b c) d))
39.0ms	(+ a (+ (+ b c) d))

simplify995.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
2	2000
1	430
0	145

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 1.3b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.8b	(+ (+ a (+ b c)) d)
2.8b	(+ a (+ (+ b c) d))
2.8b	(+ a (+ (+ b c) d))

rewrite744.0ms

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:

474.0ms	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
117.0ms	(+ (+ a (+ b c)) d)
64.0ms	(+ a (+ (+ b c) d))
86.0ms	(+ a (+ (+ b c) d))

series248.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (* (* (+ (+ a (+ b c)) d) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
34.0ms	(+ (+ a (+ b c)) d)
35.0ms	(+ a (+ (+ b c) d))
52.0ms	(+ a (+ (+ b c) d))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
2	2000
1	573
0	178

prune1.2s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 1.0b

regimes2.3s

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

520.0ms	8000×	body	80	valid
500.0ms	8000×	pre	80	true