Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify636.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	53	9
3	150	9
4	351	9
5	568	9
6	647	9
7	661	9
done	661	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`sum-log` `distribute-lft-out`
6×	`fma-def`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

2 → 42

Calls

2 calls:

16.0ms	(+ b (+ c d))
86.0ms	(+ a (+ b (+ c d)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ b (+ c d))
63.0ms	(+ a (+ b (+ c d)))

simplify922.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	60	378
1	181	347
2	863	333
done	5000	333

prune158.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

74.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify643.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	41	223
1	117	210
2	612	196
done	5001	196

prune116.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`distribute-lft-out`
6×	`sum-log`
5×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 24

Calls

1 calls:

165.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 3 (650.0ms)

Iter	Nodes	Cost
0	41	223
1	109	214
2	419	200
3	2812	196
done	5000	196

prune100.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.7b

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)

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
21×	`distribute-lft-out`
18×	`cbrt-prod`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
5×	`fma-def`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `cube-mult` `associate-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 55

Calls

2 calls:

184.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
176.0ms	(+ (+ a (+ b c)) d)

series138.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
57.0ms	(+ (+ a (+ b c)) d)

simplify1.1s

Counts

61 → 61

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	86	805
1	230	622
2	1261	585
done	5000	585

prune207.0ms

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

sample1.1s

Algorithm

intervals

Results

359.0ms	8000×	body	80	valid
295.0ms	8000×	pre	80	true