Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify62.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	85
3	66
2	39
1	18
0	7

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

110.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify447.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	679
1	129
0	49

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

74.0ms	(* a (+ c (+ b d)))
12.0ms	(sqrt (* a (+ c (+ b d))))
12.0ms	(sqrt (* a (+ c (+ b d))))
142.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (* a (+ c (+ b d)))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* a (+ c (+ b d)))
231.0ms	(sqrt (* a (+ c (+ b d))))
206.0ms	(sqrt (* a (+ c (+ b d))))
53.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (* a (+ c (+ b d)))))

simplify931.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1911
1	382
0	135

prune607.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

24.0ms	(* (+ b c) a)
6.0ms	(+ (* d a) (* (+ b c) a))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (+ b c) a)
39.0ms	(+ (* d a) (* (+ b c) a))

simplify631.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	879
1	197
0	69

prune235.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ c (+ b d)))
0.0b	(sqrt (+ (+ b c) d))
0.2b	(* (sqrt (+ c (+ b d))) a)
0.4b	(* (sqrt (+ (+ b c) d)) (* (sqrt (+ c (+ b d))) a))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

20.0ms	(sqrt (+ c (+ b d)))
25.0ms	(sqrt (+ (+ b c) d))
89.0ms	(* (sqrt (+ c (+ b d))) a)
174.0ms	(* (sqrt (+ (+ b c) d)) (* (sqrt (+ c (+ b d))) a))

series329.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (+ c (+ b d)))
72.0ms	(sqrt (+ (+ b c) d))
110.0ms	(* (sqrt (+ c (+ b d))) a)
79.0ms	(* (sqrt (+ (+ b c) d)) (* (sqrt (+ c (+ b d))) a))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2076
1	472
0	180

prune542.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes396.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

383.0ms	8000×	body	80	valid
277.0ms	8000×	pre	80	true