Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	59×	body	640	valid
6.0ms	125×	body	80	valid
6.0ms	26×	body	1280	valid
3.0ms	25×	body	320	valid
2.0ms	21×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7
done	209	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

10.0ms	(/ 1.0 (- x 1.0))
10.0ms	(/ 1.0 (+ x 1.0))
57.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
291.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1.0 (- x 1.0))
24.0ms	(/ 1.0 (+ x 1.0))
40.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
205.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify48.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5002	816
done	5002	816

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
15.8b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/`
22×	`flip3--` `flip--`
16×	`frac-times` `frac-add`
13×	`add-sqr-sqrt`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-r`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

8.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
38.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
43.0ms	(* (* (+ x 1.0) x) (- x 1.0))
27.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series174.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
41.0ms	(* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0))
94.0ms	(* (* (+ x 1.0) x) (- x 1.0))
2.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify120.0ms

Counts

119 → 119

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	795	1594
1	4456	1513
2	5002	1513
done	5002	1513

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.5b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

40.0ms	(* (* (+ x 1.0) x) (- x 1.0))
36.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series190.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (* (+ x 1.0) x) (- x 1.0))
89.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify55.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	398	514
1	1892	442
2	5002	441
done	5002	441

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.3b	(/ 2.0 (* (+ x 1.0) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`associate-/r*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 101

Calls

2 calls:

28.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
11.0ms	(/ 2.0 (* (+ x 1.0) x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
35.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify64.0ms

Counts

107 → 107

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	535	926
1	2362	854
2	5001	854
done	5001	854

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample608.0ms

Algorithm

intervals

Results

201.0ms	1897×	body	640	valid
115.0ms	4158×	body	80	valid
73.0ms	576×	body	1280	valid
70.0ms	904×	body	320	valid
24.0ms	465×	body	160	valid