Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	52×	body	640	valid
4.0ms	50×	body	320	valid
3.0ms	123×	body	80	valid
1.0ms	31×	body	160	valid

simplify5.0ms

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: 16.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite113.0ms

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

series129.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1.0 (+ x 1.0))
87.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	3543
2	823
1	286
0	120

prune351.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

25.0ms	(* (+ x 1.0) x)
20.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
6.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series130.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ x 1.0) x)
52.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
13.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
2	1534
1	337
0	112

prune294.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `neg-mul-1` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

16.0ms	(* (+ x 1.0) x)
11.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series137.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (+ x 1.0) x)
55.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	964
1	296
0	118

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
269×	`*-un-lft-identity`
167×	`add-sqr-sqrt` `add-cube-cbrt`
63×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
56×	`associate-/l*`
51×	`distribute-lft-out`
21×	`neg-mul-1`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`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 → 274

Calls

2 calls:

23.0ms	(/ (- 1.0) (+ x 1.0))
31.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

series98.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 1.0) (+ x 1.0))
53.0ms	(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.0s

Counts

280 → 280

Iterations

Iter	Nodes
done	5000
2	2241
1	858
0	363

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
2	11
1	9
0	6

end0.0ms

sample910.0ms

Algorithm

intervals

Results

432.0ms	1851×	body	640	valid
147.0ms	4174×	body	80	valid
144.0ms	1353×	body	320	valid
46.0ms	622×	body	160	valid