Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	4	9
1	13	7
2	26	7
3	41	7
4	59	7
5	92	7
6	183	7
7	524	7
8	2128	7
done	5000	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

24.0ms	(+ (* x (* x x)) (* x x))
18.0ms	(* x (* x x))

series145.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(+ (* x (* x x)) (* x x))
38.0ms	(* x (* x x))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (576.0ms)

Iter	Nodes	Cost
0	57	384
1	135	260
2	436	227
3	1620	225
done	5000	225

prune91.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
0.2b	(* (* (sqrt x) x) (* (sqrt x) x))
0.2b	(* (sqrt x) x)
0.2b	(* (sqrt x) x)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

119×	`pow1`
57×	`pow-prod-up`
38×	`pow-plus`
36×	`sqrt-pow1` `pow1/2`
28×	`pow-prod-down`
26×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l` `pow-sqr`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`cube-unmult` `sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`unswap-sqr`
3×	`*-commutative`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 134

Calls

4 calls:

57.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
55.0ms	(* (* (sqrt x) x) (* (sqrt x) x))
11.0ms	(* (sqrt x) x)
10.0ms	(* (sqrt x) x)

series210.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (* (sqrt x) x) (* (sqrt x) x)) (* x x))
41.0ms	(* (* (sqrt x) x) (* (sqrt x) x))
56.0ms	(* (sqrt x) x)
37.0ms	(* (sqrt x) x)

simplify4.5s

Counts

146 → 146

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	109	1293
1	290	674
2	872	621
3	3523	607
done	5000	558

prune233.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (pow x 3) 1) (pow x 6))
0.0b	(* (pow x 4) (- (+ (* x x) 1) x))
0.0b	(- (+ (* x x) 1) x)
50.0b	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
30×	`prod-exp`
24×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
16×	`*-un-lft-identity` `div-exp`
12×	`associate-r`
11×	`associate-l`
10×	`pow-to-exp` `add-cube-cbrt` `pow-exp`
9×	`add-log-exp`
8×	`unpow-prod-down`
6×	`cbrt-unprod` `unswap-sqr`
4×	`pow1` `cbrt-undiv` `associate-r/` `associate-l/` `sqr-pow`
3×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate--l+` `flip--`
2×	`flip3-+` `diff-log` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 116

Calls

4 calls:

55.0ms	(* (+ (pow x 3) 1) (pow x 6))
105.0ms	(* (pow x 4) (- (+ (* x x) 1) x))
80.0ms	(- (+ (* x x) 1) x)
105.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (+ (pow x 3) 1) (pow x 6))
44.0ms	(* (pow x 4) (- (+ (* x x) 1) x))
21.0ms	(- (+ (* x x) 1) x)
147.0ms	(/ (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (* x x) 1) x)))

simplify1.8s

Counts

128 → 128

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	183	2265
1	490	2128
2	2267	1845
done	5000	1839

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	8	13
done	8	13

end0.0ms

sample571.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
165.0ms	8000×	pre	80	true