Details

sample304.0ms

Algorithm

intervals

Results

6.0ms	79×	body	1280	valid
3.0ms	59×	body	640	valid
3.0ms	190×	body	80	valid
1.0ms	20×	body	320	valid
0.0ms	15×	body	160	valid

simplify117.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	37	4
2	103	4
3	220	4
4	387	4
5	527	4
6	803	4
7	1602	4
8	2861	4
9	4334	4
10	4807	4
11	5001	4
done	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

31.0ms	(* (+ x 1.0) (+ x 1.0))
43.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
64.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify35.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	234	303
1	999	270
2	5001	261
done	5001	261

prune75.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

18.0ms

(* x (+ 2.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* x (+ 2.0 x))

simplify74.0ms

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	123	85
1	594	76
2	2937	76
3	5001	76
done	5001	76

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2.0) (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out` `unpow2`

Counts

1 → 12

Calls

1 calls:

13.0ms

(+ (* x 2.0) (pow x 2))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ (* x 2.0) (pow x 2))

simplify43.0ms

Counts

15 → 15

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	89	77
1	335	63
2	1146	59
3	5001	59
done	5001	59

prune25.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(* x (+ (pow 2.0 3) (pow x 3)))
9.4b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `associate-r`
7×	`add-cube-cbrt`
5×	`pow1` `distribute-lft-out` `add-log-exp`
4×	`unpow-prod-down` `cube-prod` `associate-*r/`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

8.0ms	(- (* x x) (* 2.0 x))
68.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
56.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series338.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x x) (* 2.0 x))
91.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
192.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify65.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	388	584
1	2110	495
2	5002	488
done	5002	488

prune159.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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	6	2
1	6	2
done	6	2

end0.0ms

sample496.0ms

Algorithm

intervals

Results

137.0ms	2265×	body	1280	valid
83.0ms	1659×	body	640	valid
78.0ms	5505×	body	80	valid
35.0ms	900×	body	320	valid
10.0ms	392×	body	160	valid