Details

sample223.0ms

Algorithm

intervals

Results

126.0ms	97×	body	1280	valid
48.0ms	77×	body	640	valid
20.0ms	54×	body	320	valid
5.0ms	256×	pre	80	true
4.0ms	23×	body	160	valid
0.0ms	5×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.1b	(log (- 1.0 x))
6.3b	(log (+ 1.0 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

15.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series313.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
83.0ms	(log (- 1.0 x))
73.0ms	(log (+ 1.0 x))

simplify797.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1758
1	432
0	185

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow x 2) -1/2)
0.0b	(/ (log (- 1.0 x)) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))
6.1b	(log (- 1.0 x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`times-frac`
11×	`add-exp-log`
9×	`pow1`
8×	`associate-l`
7×	`add-cbrt-cube`
6×	`log-pow`
5×	`log-prod` `distribute-lft-out`
4×	`log-div` `associate-/r` `unpow-prod-down` `associate-/r/` `associate-/l` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-log-exp`
2×	`flip3-+` `flip3--` `div-sub` `frac-add` `flip-+` `flip--` `unpow2` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 85

Calls

3 calls:

18.0ms	(* (pow x 2) -1/2)
109.0ms	(/ (log (- 1.0 x)) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))
4.0ms	(log (- 1.0 x))

series258.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (pow x 2) -1/2)
175.0ms	(/ (log (- 1.0 x)) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))
54.0ms	(log (- 1.0 x))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	2967
1	623
0	246

prune498.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) -1/2)
0.0b	(/ (- (- (log 1.0) (* 1.0 x)) (* (/ (* 1/2 x) 1.0) (/ x 1.0))) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
9×	`add-exp-log`
8×	`associate-l` `associate-/l/`
6×	`add-cbrt-cube` `frac-sub`
4×	`associate-/r*` `unpow-prod-down` `flip3--` `associate-/r/` `flip--` `distribute-lft-out` `unswap-sqr`
3×	`associate-r` `prod-exp` `associate-/l*`
2×	`frac-times` `pow1` `flip3-+` `associate-l/` `frac-add` `associate-r/` `flip-+` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `pow-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

2 → 71

Calls

2 calls:

11.0ms	(* (pow x 2) -1/2)
148.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (/ (* 1/2 x) 1.0) (/ x 1.0))) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))

series188.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (pow x 2) -1/2)
145.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (/ (* 1/2 x) 1.0) (/ x 1.0))) (+ (/ (* (pow x 2) -1/2) (* 1.0 1.0)) (+ (* 1.0 x) (log 1.0))))

simplify1.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	2689
1	496
0	174

prune611.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 1.0 1.0) (pow x 2))
0.2b	(/ 1/2 (/ 1.0 x))
0.9b	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))
0.9b	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
64×	`add-exp-log`
45×	`associate-/r*`
35×	`div-exp`
32×	`add-cbrt-cube`
30×	`unpow-prod-down`
16×	`div-inv`
15×	`cbrt-undiv`
10×	`associate-/l*` `unpow2` `sqr-pow`
9×	`prod-exp`
6×	`pow-to-exp` `pow-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`associate-/r/` `cbrt-unprod`

Counts

4 → 249

Calls

4 calls:

10.0ms	(/ (* 1.0 1.0) (pow x 2))
7.0ms	(/ 1/2 (/ 1.0 x))
11.0ms	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))
11.0ms	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* 1.0 1.0) (pow x 2))
33.0ms	(/ 1/2 (/ 1.0 x))
46.0ms	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))
33.0ms	(/ -1/2 (/ (* 1.0 1.0) (pow x 2)))

simplify2.2s

Counts

261 → 261

Iterations

Iter	Nodes
done	5001
2	4621
1	839
0	306

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes146.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	21

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.0s	3351×	body	1280	valid
1.7s	2503×	body	640	valid
461.0ms	1297×	body	320	valid
158.0ms	8000×	pre	80	true
122.0ms	626×	body	160	valid
18.0ms	223×	body	80	valid