Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify62.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite117.0ms

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:

115.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify481.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	679
1	129
0	49

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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)))))

rewrite275.0ms

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:

63.0ms	(* a (+ c (+ b d)))
17.0ms	(sqrt (* a (+ c (+ b d))))
13.0ms	(sqrt (* a (+ c (+ b d))))
174.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (* a (+ c (+ b d)))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* a (+ c (+ b d)))
265.0ms	(sqrt (* a (+ c (+ b d))))
256.0ms	(sqrt (* a (+ c (+ b d))))
55.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (* a (+ c (+ b d)))))

simplify1.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1911
1	382
0	135

prune802.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

51.0ms	(* a (+ c (+ b d)))
12.0ms	(sqrt (+ (* c a) (* a (+ d b))))
28.0ms	(sqrt (* a (+ c (+ b d))))
126.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (+ (* c a) (* a (+ d b)))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* a (+ c (+ b d)))
156.0ms	(sqrt (+ (* c a) (* a (+ d b))))
285.0ms	(sqrt (* a (+ c (+ b d))))
199.0ms	(* (sqrt (* a (+ c (+ b d)))) (sqrt (+ (* c a) (* a (+ d b)))))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	2488
1	483
0	165

prune665.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

19.0ms	(* a (+ d b))
7.0ms	(+ (* c a) (* a (+ d b)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* a (+ d b))
42.0ms	(+ (* c a) (* a (+ d b)))

simplify482.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5002
2	1007
1	230
0	73

prune253.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes478.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

322.0ms	8000×	body	80	valid
286.0ms	8000×	pre	80	true