Details

sample60.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	256×	pre	80	true

simplify312.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	53	9
3	146	9
4	300	9
5	445	9
6	481	9
done	481	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.5b	(+ a (+ b (+ c d)))

rewrite76.0ms

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-+`

Counts

2 → 32

Calls

2 calls:

16.0ms	(+ b (+ c d))
58.0ms	(+ a (+ b (+ c d)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ b (+ c d))
45.0ms	(+ a (+ b (+ c d)))

simplify1.6s

Counts

38 → 38

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	55	350
1	166	321
2	614	307
3	3586	307
done	5000	307

prune189.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize19.0ms

Local error

Found 1 expressions with local error:

2.5b	(+ a (+ (+ b c) d))

rewrite70.0ms

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-+`

Counts

1 → 17

Calls

1 calls:

70.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.7s

Counts

20 → 20

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	40	207
1	114	195
2	552	181
3	4777	181
done	5000	181

prune122.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.5b	(+ a (+ (+ b c) d))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

118.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
70.0ms	(+ a (+ (+ b c) d))

series105.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
32.0ms	(+ a (+ (+ b c) d))

simplify1.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	83	767
1	232	583
2	1452	545
done	5000	545

prune228.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

1 alts after pruning (0 fresh and 1 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

sample1.3s

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
329.0ms	8000×	pre	80	true