Details

sample275.0ms

Algorithm

intervals

Results

167.0ms	103×	body	1280	valid
63.0ms	82×	body	640	valid
18.0ms	46×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ x 1.0)))
5.0b	(log (- 1.0 x))
5.0b	(log (+ x 1.0))

rewrite23.0ms

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:

13.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
4.0ms	(log (- 1.0 x))
4.0ms	(log (+ x 1.0))

series282.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
52.0ms	(log (- 1.0 x))
49.0ms	(log (+ x 1.0))

simplify684.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1758
1	441
0	192

prune312.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
0.0b	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
5.0b	(log (- 1.0 x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
38×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`associate-l`
20×	`add-exp-log`
19×	`add-cbrt-cube`
10×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`log-prod` `prod-exp` `log-pow` `cbrt-unprod` `div-inv`
4×	`log-div` `associate-/r/` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `flip3--` `div-sub` `frac-add` `flip-+` `flip--`
1×	`clear-num` `frac-2neg` `rem-log-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 102

Calls

3 calls:

27.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
54.0ms	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
7.0ms	(log (- 1.0 x))

series234.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
156.0ms	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
50.0ms	(log (- 1.0 x))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	4751
1	830
0	311

prune752.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 3 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
37×	`add-cbrt-cube` `add-exp-log`
36×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
15×	`associate-*l/`
14×	`prod-exp` `cbrt-unprod`
10×	`pow1` `cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`associate-r` `frac-sub`
5×	`div-inv`
4×	`flip3--` `pow-prod-down` `associate-/r/` `flip--` `unswap-sqr`
3×	`frac-times` `associate-/r` `associate-r/` `associate-/l*` `add-log-exp`
2×	`flip3-+` `frac-add` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg` `div-sub`

Counts

3 → 117

Calls

3 calls:

48.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
27.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
174.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
48.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
128.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))

simplify561.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
1	877
0	288

prune854.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b	(/ 1 (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.0b	(/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)))
0.1b	(/ x (/ 1.0 x))

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
169×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
121×	`add-cube-cbrt`
44×	`associate-*l/`
43×	`associate-/r*`
42×	`associate-/r/`
40×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`distribute-lft-out`
30×	`frac-sub`
26×	`pow1`
20×	`flip3--` `flip--`
16×	`log-pow`
15×	`div-exp`
11×	`frac-times` `cbrt-undiv` `associate-r/` `div-inv` `associate-/l`
9×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 275

Calls

4 calls:

46.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
239.0ms	(/ 1 (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
396.0ms	(/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)))
15.0ms	(/ x (/ 1.0 x))

series401.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
161.0ms	(/ 1 (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
159.0ms	(/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)))
46.0ms	(/ x (/ 1.0 x))

simplify737.0ms

Counts

287 → 287

Iterations

Iter	Nodes
done	5001
1	1306
0	462

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes55.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample6.7s

Algorithm

intervals

Results

4.4s	3464×	body	1280	valid
1.5s	2480×	body	640	valid
382.0ms	1238×	body	320	valid
129.0ms	8000×	pre	80	true
94.0ms	599×	body	160	valid
15.0ms	219×	body	80	valid