Details

sample25.0ms

Algorithm

intervals

Results

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

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	37	7
3	54	7
done	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:

38.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify1.7s

Counts

27 → 27

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	52	255
1	144	240
2	579	212
3	2658	212
done	5000	212

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

10.0ms	(* a (+ b c))
5.0ms	(+ (* a (+ b c)) (* a d))

series57.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* a (+ b c))
32.0ms	(+ (* a (+ b c)) (* a d))

simplify2.0s

Counts

43 → 43

Iterations

Useful iterations: 3 (568.0ms)

Iter	Nodes	Cost
0	73	417
1	212	351
2	786	325
3	3498	323
done	5000	323

prune273.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.2b	(* a (sqrt (+ b c)))
0.3b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

23.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
13.0ms	(* a (sqrt (+ b c)))
24.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
64.0ms	(* a (sqrt (+ b c)))
48.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify689.0ms

Counts

75 → 75

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	144	1178
1	391	858
2	1411	736
done	5001	732

prune155.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (+ (+ b c) d))
0.5b	(pow (* a (+ (+ b c) d)) 3)
17.5b	(cbrt (pow (* a (+ (+ b c) d)) 3))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

41.0ms	(* a (+ (+ b c) d))
14.0ms	(pow (* a (+ (+ b c) d)) 3)
2.0ms	(cbrt (pow (* a (+ (+ b c) d)) 3))

series246.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* a (+ (+ b c) d))
190.0ms	(pow (* a (+ (+ b c) d)) 3)
28.0ms	(cbrt (pow (* a (+ (+ b c) d)) 3))

simplify504.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	109	967
1	283	793
2	1244	733
done	5000	733

prune162.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample555.0ms

Algorithm

intervals

Results

183.0ms	8000×	pre	80	true
157.0ms	8000×	body	80	valid