Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	58×	body	640	valid
4.0ms	136×	body	80	valid
3.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify4.0ms

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: 15.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite103.0ms

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:

9.0ms	(/ 1.0 (+ x 1.0))
92.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series129.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ 1.0 (+ x 1.0))
82.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify653.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune259.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)))
2.2b	(- x (+ x 1.0))

rewrite91.0ms

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:

26.0ms	(* x (+ x 1.0))
51.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
13.0ms	(- x (+ x 1.0))

series119.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* x (+ x 1.0))
46.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
9.0ms	(- x (+ x 1.0))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	2821
1	388
0	119

prune302.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite111.0ms

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:

84.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify927.0ms

Counts

378 → 378

Iterations

Iter	Nodes
done	5000
1	1638
0	589

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 1.0 x) (/ x (cbrt 1.0)))
0.3b	(/ (cbrt (- 1.0)) (* (+ 1.0 x) (/ x (cbrt 1.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
32×	`add-sqr-sqrt`
30×	`cbrt-prod`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`associate-r`
16×	`add-exp-log`
13×	`associate-/l*`
11×	`add-cbrt-cube`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`frac-times` `pow1` `flip3-+` `associate-l` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+`
3×	`unswap-sqr`
2×	`neg-mul-1` `associate-*r/` `div-inv` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `distribute-lft-out`

Counts

2 → 95

Calls

2 calls:

50.0ms	(* (+ 1.0 x) (/ x (cbrt 1.0)))
25.0ms	(/ (cbrt (- 1.0)) (* (+ 1.0 x) (/ x (cbrt 1.0))))

series435.0ms

Counts

2 → 6

Calls

2 calls:

201.0ms	(* (+ 1.0 x) (/ x (cbrt 1.0)))
233.0ms	(/ (cbrt (- 1.0)) (* (+ 1.0 x) (/ x (cbrt 1.0))))

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	3662
1	501
0	205

prune587.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	14
3	14
2	12
1	10
0	8

end0.0ms

sample908.0ms

Algorithm

intervals

Results

397.0ms	1965×	body	640	valid
174.0ms	1231×	body	320	valid
153.0ms	4190×	body	80	valid
42.0ms	616×	body	160	valid