Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	64×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	44×	body	320	valid
1.0ms	17×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite91.0ms

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:

17.0ms	(/ 1.0 (+ x 1.0))
72.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series130.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1.0 (+ x 1.0))
88.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify649.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1127
1	286
0	120

prune262.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite108.0ms

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:

30.0ms	(* x (+ x 1.0))
51.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
23.0ms	(- x (+ x 1.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* x (+ x 1.0))
41.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* x (+ x 1.0)))
9.0ms	(- x (+ x 1.0))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	2821
1	388
0	119

prune319.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite101.0ms

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:

53.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify897.0ms

Counts

378 → 378

Iterations

Iter	Nodes
done	5000
1	1638
0	589

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0)))
0.5b	(/ (/ 1 (/ 1 (* (cbrt 1.0) (cbrt 1.0)))) (* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

520×	`add-exp-log`
332×	`div-exp`
151×	`times-frac`
137×	`prod-exp`
96×	`add-cbrt-cube`
86×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
65×	`cbrt-undiv` `rec-exp` `1-exp`
44×	`associate-l`
26×	`associate-/l*`
25×	`cbrt-unprod`
22×	`associate-r`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`cbrt-prod` `div-inv`
10×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`associate-/r/`
4×	`pow1` `neg-mul-1`
2×	`frac-times` `associate-l/` `associate-r/` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l/`

Counts

2 → 289

Calls

2 calls:

50.0ms	(* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0)))
60.0ms	(/ (/ 1 (/ 1 (* (cbrt 1.0) (cbrt 1.0)))) (* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0))))

series310.0ms

Counts

2 → 6

Calls

2 calls:

197.0ms	(* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0)))
112.0ms	(/ (/ 1 (/ 1 (* (cbrt 1.0) (cbrt 1.0)))) (* (/ (+ 1.0 x) (- 1.0)) (/ x (cbrt 1.0))))

simplify1.3s

Counts

295 → 295

Iterations

Iter	Nodes
done	5001
1	1863
0	489

prune824.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

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

end1.0ms

sample1.4s

Algorithm

intervals

Results

756.0ms	1861×	body	640	valid
251.0ms	4203×	body	80	valid
142.0ms	1293×	body	320	valid
48.0ms	644×	body	160	valid