Details

sample23.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify198.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	27	7
3	65	7
4	104	7
5	134	7
6	154	7
7	171	7
8	173	7
done	173	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) (+ a b))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

55.0ms

(* (+ a b) (+ a b))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ a b) (+ a b))

simplify2.7s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	64	532
1	195	462
2	790	416
3	3636	380
done	5000	380

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ a b) b)
0.0b	(+ (* (+ a b) a) (* (+ a b) b))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

20.0ms	(* (+ a b) b)
21.0ms	(+ (* (+ a b) a) (* (+ a b) b))

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (+ a b) b)
25.0ms	(+ (* (+ a b) a) (* (+ a b) b))

simplify1.4s

Counts

48 → 48

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	92	679
1	280	558
2	1097	496
done	5001	470

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ a b) b)
0.0b	(fma (+ a b) a (* (+ a b) b))

rewrite24.0ms

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`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

23.0ms	(* (+ a b) b)
0.0ms	(fma (+ a b) a (* (+ a b) b))

series61.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (+ a b) b)
30.0ms	(fma (+ a b) a (* (+ a b) b))

simplify1.3s

Counts

39 → 39

Iterations

Useful iterations: 3 (535.0ms)

Iter	Nodes	Cost
0	60	372
1	132	325
2	417	276
3	1313	266
done	5000	266

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a))))
0.3b	(* b (* (+ a b) (- b a)))
0.3b	(/ (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a)))))
0.5b	(* (pow (+ a b) 3) (+ (pow a 3) (pow b 3)))

rewrite596.0ms

Algorithm

rewrite-expression-head

Rules

170×	`associate-*r/`
143×	`flip3-+` `flip-+`
132×	`frac-times`
130×	`associate-*l/`
96×	`frac-add`
56×	`associate-/r/`
51×	`*-un-lft-identity`
46×	`distribute-rgt-in` `distribute-lft-in`
44×	`add-sqr-sqrt`
40×	`add-exp-log`
39×	`flip3--` `flip--`
36×	`prod-diff`
35×	`add-cube-cbrt`
25×	`add-cbrt-cube`
21×	`associate-l`
17×	`prod-exp`
13×	`associate-r`
12×	`cube-div`
11×	`pow1`
9×	`unpow-prod-down` `cube-prod` `cbrt-unprod`
8×	`div-exp` `associate-/l/` `distribute-lft-out`
5×	`unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative`
2×	`sqr-pow`
1×	`cube-mult` `frac-2neg` `times-frac` `unpow3` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l`

Counts

4 → 293

Calls

4 calls:

223.0ms	(* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a))))
68.0ms	(* b (* (+ a b) (- b a)))
134.0ms	(/ (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a)))))
134.0ms	(* (pow (+ a b) 3) (+ (pow a 3) (pow b 3)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a))))
75.0ms	(* b (* (+ a b) (- b a)))
17.0ms	(/ (* (pow (+ a b) 3) (+ (pow a 3) (pow b 3))) (* (+ a b) (+ (* b (* (+ a b) (- b a))) (* (+ a b) (* a a)))))
149.0ms	(* (pow (+ a b) 3) (+ (pow a 3) (pow b 3)))

simplify1.3s

Counts

305 → 305

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	584	12682
1	2247	11301
done	5001	10443

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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	6	11
1	10	11
done	10	11

end0.0ms

sample506.0ms

Algorithm

intervals

Results

143.0ms	8000×	pre	80	true
127.0ms	8000×	body	80	valid