Details

sample59.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify511.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite123.0ms

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:

33.0ms	(+ b (+ c d))
89.0ms	(+ a (+ b (+ c d)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ b (+ c d))
38.0ms	(+ a (+ b (+ c d)))

simplify658.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (113.0ms)

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

prune91.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite112.0ms

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:

112.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify1.9s

Counts

20 → 20

Iterations

Useful iterations: 2 (56.0ms)

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

prune67.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite235.0ms

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:

161.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
70.0ms	(+ a (+ (+ b c) d))

series130.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
53.0ms	(+ a (+ (+ b c) d))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (175.0ms)

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

prune195.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite352.0ms

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:

199.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
150.0ms	(+ (+ a (+ b c)) d)

series137.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
60.0ms	(+ (+ a (+ b c)) d)

simplify1.0s

Counts

52 → 52

Iterations

Useful iterations: done (1.0s)

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

prune165.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

379.0ms	8000×	body	80	valid
354.0ms	8000×	pre	80	true