Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	18	124
2	38	124
3	61	124
4	64	124
done	64	124

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.1b	(* a (+ (+ b c) d))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

28.0ms	(+ (+ b c) d)
69.0ms	(* a (+ (+ b c) d))

series52.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (+ b c) d)
36.0ms	(* a (+ (+ b c) d))

simplify4.2s

Counts

45 → 45

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	66	7929
1	196	6884
2	786	6804
3	4651	6724
done	5013	6724

prune231.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a (+ b c)) (* a d))
0.0b	(* a (+ b c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

10.0ms	(+ (* a (+ b c)) (* a d))
15.0ms	(* a (+ b c))

series102.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* a (+ b c)) (* a d))
38.0ms	(* a (+ b c))

simplify1.3s

Counts

43 → 43

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	72	7946
1	230	6562
2	839	6402
done	5000	6402

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ b c))
0.1b	(sqrt (+ (* a (+ b c)) (* a d)))
0.1b	(sqrt (+ (* a (+ b c)) (* a d)))
0.5b	(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`sqrt-div` `add-cube-cbrt`
11×	`associate-r`
10×	`sqrt-pow1` `pow1/2` `associate-l`
9×	`flip3-+` `swap-sqr` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*r/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod`

Counts

4 → 115

Calls

4 calls:

15.0ms	(* a (+ b c))
12.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
12.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
93.0ms	(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* a (+ b c))
294.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
220.0ms	(sqrt (+ (* a (+ b c)) (* a d)))
52.0ms	(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

simplify1.7s

Counts

127 → 127

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	154	40030
1	412	28974
2	1429	28534
done	5002	28414

prune682.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ b c) d)
0.3b	(* (sqrt a) (+ (+ b c) d))
0.4b	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
7×	`sqrt-prod`
6×	`associate-r` `associate-*r/` `distribute-lft-out`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sum-log` `flip3-+` `flip-+`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l+`

Counts

3 → 70

Calls

3 calls:

23.0ms	(+ (+ b c) d)
90.0ms	(* (sqrt a) (+ (+ b c) d))
90.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ b c) d)
140.0ms	(* (sqrt a) (+ (+ b c) d))
88.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify1.5s

Counts

79 → 79

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	105	18224
1	325	16378
2	1319	14298
done	5002	14098

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes502.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	12	164
done	12	164

end0.0ms

sample977.0ms

Algorithm

intervals

Results

332.0ms	8000×	pre	80	true
291.0ms	8000×	body	80	valid