Details

sample31.0ms

Algorithm

intervals

Results

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

simplify413.0ms

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	295	9
5	366	9
6	368	9
done	368	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))
2.7b	(+ a (+ b (+ c d)))

rewrite111.0ms

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:

17.0ms	(+ b (+ c d))
92.0ms	(+ a (+ b (+ c d)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ b (+ c d))
41.0ms	(+ a (+ b (+ c d)))

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	60	378
1	177	347
2	704	333
3	4191	333
done	5000	333

prune172.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize15.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite121.0ms

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:

119.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify2.1s

Counts

25 → 25

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	41	223
1	113	210
2	479	196
3	3094	196
done	5000	196

prune106.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.5b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
3×	`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-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

147.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
76.0ms	(+ a (+ (+ b c) d))

series129.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
55.0ms	(+ a (+ (+ b c) d))

simplify592.0ms

Counts

59 → 59

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	86	805
1	215	614
2	816	577
done	5001	575

prune192.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite119.0ms

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:

118.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify1.8s

Counts

25 → 25

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	41	223
1	113	210
2	479	196
3	3094	196
done	5000	196

prune57.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes521.0ms

Accuracy

0% (0.9b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

303.0ms	8000×	pre	80	true
287.0ms	8000×	body	80	valid