Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	62×	body	640	valid
6.0ms	129×	body	80	valid
6.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `frac-sub` `flip-+` `flip--`

Counts

2 → 58

Calls

2 calls:

13.0ms	(/ 1.0 (+ x 1.0))
66.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1.0 (+ x 1.0))
92.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify664.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x 1.0))
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
2.4b	(- x (+ x 1.0))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

29.0ms	(* x (+ x 1.0))
56.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
17.0ms	(- x (+ x 1.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* x (+ x 1.0))
46.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
10.0ms	(- x (+ x 1.0))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	2821
1	388
0	119

prune308.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- 0 1.0) (/ x 1.0)) (+ x 1.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

830×	`times-frac`
589×	`*-un-lft-identity`
447×	`add-sqr-sqrt`
317×	`add-cube-cbrt`
71×	`distribute-lft-out`
70×	`associate-/l*`
65×	`distribute-lft-out--` `difference-of-squares`
31×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r*`
2×	`div-sub` `distribute-frac-neg`
1×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `add-log-exp` `associate-/l/` `sub0-neg`

Counts

1 → 375

Calls

1 calls:

52.0ms

(/ (/ (- 0 1.0) (/ x 1.0)) (+ x 1.0))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(/ (/ (- 0 1.0) (/ x 1.0)) (+ x 1.0))

simplify1.0s

Counts

378 → 378

Iterations

Iter	Nodes
done	5000
1	1638
0	589

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (sqrt 1.0)) (+ 1.0 x))
0.1b	(/ (/ (- (sqrt 1.0)) (+ 1.0 x)) (/ x (cbrt 1.0)))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

4354×	`times-frac`
2588×	`*-un-lft-identity`
1818×	`add-sqr-sqrt` `add-cube-cbrt`
639×	`cbrt-prod`
582×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
385×	`distribute-lft-out`
97×	`neg-mul-1`
96×	`div-inv`
86×	`associate-/l*`
49×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3-+` `flip-+`
16×	`add-exp-log`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 1754

Calls

2 calls:

15.0ms	(/ (- (sqrt 1.0)) (+ 1.0 x))
89.0ms	(/ (/ (- (sqrt 1.0)) (+ 1.0 x)) (/ x (cbrt 1.0)))

series302.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (- (sqrt 1.0)) (+ 1.0 x))
218.0ms	(/ (/ (- (sqrt 1.0)) (+ 1.0 x)) (/ x (cbrt 1.0)))

simplify972.0ms

Counts

1760 → 1760

Iterations

Iter	Nodes
done	5000
0	1794

prune8.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	37
6	37
5	33
4	27
3	24
2	20
1	18
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

332.0ms	1929×	body	640	valid
232.0ms	1266×	body	320	valid
214.0ms	4209×	body	80	valid
61.0ms	598×	body	160	valid