Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune1.0ms

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	(/ (+ x 1.0) (- 1.0 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

24.0ms

(/ (+ x 1.0) (- 1.0 x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify1.8s

Counts

48 → 48

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	91	630
1	206	607
2	539	569
3	1208	560
4	3098	560
done	5000	556

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- x 1.0))
16.0b	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
6×	`add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow1` `times-frac` `associate-r/` `associate-l/` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

35.0ms	(* (- 1.0 x) (- x 1.0))
32.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) (- x 1.0))
61.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	140	1215
1	397	1181
2	1745	911
done	5002	847

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
4.9b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
16.0b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-cubes`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-r`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-rgt-out` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

3 → 288

Calls

3 calls:

8.0ms	(+ (* x x) (* 1.0 x))
52.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
172.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series163.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* x x) (* 1.0 x))
48.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
61.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.8s

Counts

297 → 297

Iterations

Useful iterations: 2 (723.0ms)

Iter	Nodes	Cost
0	313	6997
1	1055	6288
2	4093	6090
done	5001	6090

prune517.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ 2.0 x) 1) (/ 2.0 (* x x)))
0.4b	(/ 2.0 (* x x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`times-frac` `sum-log` `distribute-lft-out` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `frac-add` `flip-+`
1×	`+-commutative` `associate-+l+` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

2 → 38

Calls

2 calls:

80.0ms	(+ (+ (/ 2.0 x) 1) (/ 2.0 (* x x)))
8.0ms	(/ 2.0 (* x x))

series43.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (/ 2.0 x) 1) (/ 2.0 (* x x)))
25.0ms	(/ 2.0 (* x x))

simplify2.1s

Counts

44 → 44

Iterations

Useful iterations: 3 (827.0ms)

Iter	Nodes	Cost
0	92	576
1	248	536
2	744	484
3	3132	472
done	5000	472

prune72.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch70.0ms

Steps

Iters	Range		Point
10	0.0001820196720056695	1126179.5725289274	256642.77298779495
9	-5463081689.944393	-76786.820650899	-1700022.9570998326

simplify8.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	27	55
1	42	44
2	49	44
3	50	44
done	50	44

end0.0ms

sample244.0ms

Algorithm

intervals

Results

130.0ms

8000×

body

valid