Details

sample32.0ms

Algorithm

intervals

Results

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

simplify434.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	53	9
3	144	9
4	307	9
5	461	9
6	521	9
7	522	9
done	522	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

16.0ms	(+ b (+ c d))
79.0ms	(+ a (+ b (+ c d)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ b (+ c d))
53.0ms	(+ a (+ b (+ c d)))

simplify564.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	56	350
1	171	321
2	815	307
done	5000	307

prune104.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

85.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	39	207
1	113	195
2	471	181
3	3323	181
done	5001	181

prune84.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

158.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
84.0ms	(+ a (+ (+ b c) d))

series127.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
44.0ms	(+ a (+ (+ b c) d))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	82	767
1	230	586
2	1453	548
done	5001	548

prune208.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.8b	(+ (+ a (+ b c)) d)

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

162.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
155.0ms	(+ (+ a (+ b c)) d)

series139.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
51.0ms	(+ (+ a (+ b c)) d)

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	82	767
1	223	594
2	1290	556
done	5001	548

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	9
2	19	9
done	19	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

424.0ms	8000×	body	80	valid
298.0ms	8000×	pre	80	true