Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	65	7
done	65	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

109.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 3 (766.0ms)

Iter	Nodes	Cost
0	52	255
1	147	240
2	563	216
3	3281	212
done	5002	212

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

27.0ms	(* (+ b c) a)
14.0ms	(+ (* (+ b c) a) (* d a))

series66.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (+ b c) a)
37.0ms	(+ (* (+ b c) a) (* d a))

simplify2.8s

Counts

39 → 39

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	68	387
1	191	329
2	768	303
3	3716	301
done	5000	301

prune91.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

7.0ms	(sqrt (+ b c))
42.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
23.0ms	(* (sqrt (+ b c)) a)
69.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

series250.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ b c))
87.0ms	(+ (* (sqrt (+ b c)) (* (sqrt (+ b c)) a)) (* d a))
69.0ms	(* (sqrt (+ b c)) a)
44.0ms	(* (sqrt (+ b c)) (* (sqrt (+ b c)) a))

simplify3.5s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	152	1320
1	400	987
2	1143	865
3	3872	842
done	5001	842

prune258.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite272.0ms

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×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
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` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

58.0ms	(* a (+ d (+ b c)))
21.0ms	(sqrt (* a (+ d (+ b c))))
24.0ms	(sqrt (* a (+ d (+ b c))))
164.0ms	(* (sqrt (* a (+ d (+ b c)))) (sqrt (* a (+ d (+ b c)))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* a (+ d (+ b c)))
260.0ms	(sqrt (* a (+ d (+ b c))))
225.0ms	(sqrt (* a (+ d (+ b c))))
38.0ms	(* (sqrt (* a (+ d (+ b c)))) (sqrt (* a (+ d (+ b c)))))

simplify883.0ms

Counts

119 → 119

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	135	1791
1	323	1353
2	1189	1237
done	5000	1169

prune294.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample860.0ms

Algorithm

intervals

Results

255.0ms	8000×	pre	80	true
203.0ms	8000×	body	80	valid