Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify580.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize72.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

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:

67.0ms	(+ b (+ c d))
141.0ms	(+ a (+ b (+ c d)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ b (+ c d))
50.0ms	(+ a (+ b (+ c d)))

simplify4.8s

Counts

40 → 40

Iterations

Iter	Nodes
done	5013
3	2998
2	601
1	166
0	57

prune587.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize60.0ms

Local error

Found 1 expressions with local error:

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

rewrite170.0ms

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:

168.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify4.9s

Counts

21 → 21

Iterations

Iter	Nodes
done	5015
3	2883
2	518
1	110
0	41

prune426.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

localize170.0ms

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))

rewrite2.0s

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:

1.4s	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
202.0ms	(+ a (+ (+ b c) d))
169.0ms	(+ a (+ (+ b c) d))
193.0ms	(+ a (+ (+ b c) d))

series235.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
42.0ms	(+ a (+ (+ b c) d))
47.0ms	(+ a (+ (+ b c) d))
62.0ms	(+ a (+ (+ b c) d))

simplify4.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2287
1	429
0	145

prune1.6s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.5b

localize108.0ms

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))

rewrite1.9s

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:

1.2s	(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
252.0ms	(+ (+ a (+ b c)) d)
218.0ms	(+ a (+ (+ b c) d))
172.0ms	(+ a (+ (+ b c) d))

series388.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ (+ a (+ b c)) d)) (+ a (+ (+ b c) d))))
65.0ms	(+ (+ a (+ b c)) d)
50.0ms	(+ a (+ (+ b c) d))
56.0ms	(+ a (+ (+ b c) d))

simplify5.8s

Counts

102 → 102

Iterations

Iter	Nodes
done	5013
2	3275
1	573
0	186

prune1.3s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 1.1b

regimes4.6s

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

979.0ms	8000×	body	80	valid
389.0ms	8000×	pre	80	true