Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	65	7
done	65	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

88.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.7s

Counts

27 → 27

Iterations

Useful iterations: 3 (728.0ms)

Iter	Nodes	Cost
0	52	255
1	147	240
2	563	216
3	3281	212
done	5002	212

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ b c) a)
0.0b	(+ (* (+ b c) a) (* d a))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

25.0ms	(* (+ b c) a)
13.0ms	(+ (* (+ b c) a) (* d a))

series61.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (+ b c) a)
30.0ms	(+ (* (+ b c) a) (* d a))

simplify2.9s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	68	387
1	191	329
2	768	303
3	3716	301
done	5000	301

prune150.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
0.2b	(* (sqrt (+ b c)) a)
0.4b	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

14.0ms	(sqrt (+ b c))
64.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
32.0ms	(* (sqrt (+ b c)) a)
77.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series222.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ b c))
73.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
61.0ms	(* (sqrt (+ b c)) a)
48.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify3.2s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	152	1320
1	400	987
2	1143	865
3	3872	842
done	5001	842

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt a) (+ (+ b c) d))
0.4b	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

12×	`-un-lft-identity` `associate-l*`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

137.0ms	(* (sqrt a) (+ (+ b c) d))
138.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series251.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(* (sqrt a) (+ (+ b c) d))
79.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify714.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	91	774
1	254	624
2	1076	542
done	5000	542

prune152.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

317.0ms	8000×	body	80	valid
316.0ms	8000×	pre	80	true