Details

sample41.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify505.0ms

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: 3.7b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite94.0ms

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:

36.0ms	(+ b (+ c d))
56.0ms	(+ a (+ b (+ c d)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ b (+ c d))
57.0ms	(+ a (+ b (+ c d)))

simplify2.3s

Counts

48 → 48

Iterations

Useful iterations: 2 (99.0ms)

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

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite135.0ms

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:

133.0ms

(+ 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 (71.0ms)

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

prune139.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite184.0ms

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:

183.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.5s

Counts

27 → 27

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	41	223
1	107	214
2	408	200
3	2519	196
done	5001	196

prune106.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.6b

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))

rewrite247.0ms

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:

134.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
111.0ms	(+ a (+ (+ b c) d))

series121.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
43.0ms	(+ a (+ (+ b c) d))

simplify693.0ms

Counts

59 → 59

Iterations

Useful iterations: done (691.0ms)

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

prune133.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 1.6b

regimes202.0ms

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.6b 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

sample1.6s

Algorithm

intervals

Results

918.0ms	8000×	body	80	valid
343.0ms	8000×	pre	80	true