Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify430.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	53	9
3	152	9
4	349	9
5	581	9
6	641	9
done	641	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`

Counts

2 → 42

Calls

2 calls:

13.0ms	(+ b (+ c d))
39.0ms	(+ a (+ b (+ c d)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify1.9s

Counts

48 → 48

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	59	378
1	176	347
2	654	333
3	3807	333
done	5000	333

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite74.0ms

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×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

74.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify718.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	42	223
1	117	210
2	586	196
done	5000	196

prune153.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite130.0ms

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×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`

Counts

1 → 24

Calls

1 calls:

128.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify1.4s

Counts

27 → 27

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	42	223
1	109	214
2	417	200
3	2849	196
done	5002	196

prune161.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

108.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
68.0ms	(+ a (+ (+ b c) d))

series141.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
52.0ms	(+ a (+ (+ b c) d))

simplify1.1s

Counts

59 → 59

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	87	805
1	239	612
2	1453	575
done	5000	575

prune274.0ms

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

369.0ms	8000×	pre	80	true
306.0ms	8000×	body	80	valid