Details

sample23.0ms

Algorithm

intervals

Results

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

simplify115.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	25	7
3	53	7
4	72	7
5	88	7
6	97	7
7	103	7
done	103	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

43.0ms

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

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify2.5s

Counts

43 → 43

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	62	516
1	188	453
2	742	407
3	3324	376
done	5001	373

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* b (+ (* 2 a) b)) (* a a))
0.0b	(* b (+ (* 2 a) b))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

20.0ms	(+ (* b (+ (* 2 a) b)) (* a a))
26.0ms	(* b (+ (* 2 a) b))

series78.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* b (+ (* 2 a) b)) (* a a))
51.0ms	(* b (+ (* 2 a) b))

simplify2.3s

Counts

41 → 41

Iterations

Useful iterations: 3 (910.0ms)

Iter	Nodes	Cost
0	70	523
1	217	485
2	738	445
3	3344	437
done	5001	437

prune99.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (+ (* 2 a) b))
0.3b	(pow (* b (+ (* 2 a) b)) 3)
0.4b	(* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a)))
0.4b	(/ (+ (pow (* b (+ (* 2 a) b)) 3) (pow a 6)) (+ (* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a))) (pow a 4)))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
12×	`times-frac`
8×	`associate-*l/`
7×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
6×	`associate-r/` `associate-r*`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l` `associate--l+` `distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `flip3--` `associate-/r*` `flip--`
2×	`cube-div` `sub-neg` `pow-pow` `pow-exp` `associate-/r/` `*-commutative` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `div-exp` `clear-num` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

42.0ms	(* b (+ (* 2 a) b))
26.0ms	(pow (* b (+ (* 2 a) b)) 3)
150.0ms	(* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a)))
215.0ms	(/ (+ (pow (* b (+ (* 2 a) b)) 3) (pow a 6)) (+ (* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a))) (pow a 4)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* b (+ (* 2 a) b))
61.0ms	(pow (* b (+ (* 2 a) b)) 3)
81.0ms	(* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a)))
125.0ms	(/ (+ (pow (* b (+ (* 2 a) b)) 3) (pow a 6)) (+ (* (* (+ (* 2 a) b) b) (- (* b (+ (* 2 a) b)) (* a a))) (pow a 4)))

simplify2.2s

Counts

127 → 127

Iterations

Useful iterations: 2 (700.0ms)

Iter	Nodes	Cost
0	233	3796
1	688	3575
2	3257	3291
done	5000	3291

prune759.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	8	11
1	12	11
done	12	11

end0.0ms

sample633.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
184.0ms	8000×	pre	80	true