Details

sample168.0ms

Algorithm

intervals

Results

80.0ms	102×	body	1280	valid
38.0ms	81×	body	640	valid
18.0ms	239×	body	80	nan
13.0ms	41×	body	320	valid
4.0ms	25×	body	160	valid
1.0ms	7×	body	80	valid

simplify580.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
7.8b	(log (/ (+ x 1) (- 1 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

23.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ x 1) (- 1 x))
71.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2928
2	921
1	366
0	162

prune355.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* 2/3 x) x) 2))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

47.0ms	(* x (+ (* (* 2/3 x) x) 2))
8.0ms	(* 2/5 (pow x 5))
14.0ms	(* (* 2/3 x) x)
5.0ms	(* 2/3 x)

series206.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (+ (* (* 2/3 x) x) 2))
56.0ms	(* 2/5 (pow x 5))
30.0ms	(* (* 2/3 x) x)
17.0ms	(* 2/3 x)

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1178
1	365
0	133

prune394.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/5 (pow x 5))
0.1b	(* (* (* 2/3 x) x) x)
0.1b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-l`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* 2/5 (pow x 5))
83.0ms	(* (* (* 2/3 x) x) x)
27.0ms	(* (* 2/3 x) x)
10.0ms	(* 2/3 x)

series206.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* 2/5 (pow x 5))
46.0ms	(* (* (* 2/3 x) x) x)
49.0ms	(* (* 2/3 x) x)
17.0ms	(* 2/3 x)

simplify2.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	3384
2	813
1	289
0	115

prune350.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (sqrt (- 1 x)))
0.0b	(/ (+ x 1) (sqrt (- 1 x)))
7.8b	(log (/ (+ x 1) (sqrt (- 1 x))))
7.9b	(log (/ 1 (sqrt (- 1 x))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

162×	`*-un-lft-identity`
126×	`times-frac`
124×	`add-sqr-sqrt`
96×	`sqrt-prod`
76×	`add-cube-cbrt`
75×	`log-prod`
32×	`difference-of-squares`
19×	`distribute-lft-out`
18×	`associate-/r*` `add-exp-log`
16×	`distribute-lft-out--`
10×	`pow1`
8×	`add-cbrt-cube` `sqrt-div` `associate-/r/`
7×	`associate-/l*`
6×	`div-exp` `rem-log-exp` `log-pow` `pow-flip`
4×	`flip3--` `insert-posit16` `div-inv` `flip--` `add-log-exp`
2×	`cbrt-undiv` `log-div` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `inv-pow` `associate-/l/`
1×	`flip3-+` `log-rec` `flip-+`

Counts

4 → 232

Calls

4 calls:

19.0ms	(/ 1 (sqrt (- 1 x)))
18.0ms	(/ (+ x 1) (sqrt (- 1 x)))
6.0ms	(log (/ (+ x 1) (sqrt (- 1 x))))
5.0ms	(log (/ 1 (sqrt (- 1 x))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (sqrt (- 1 x)))
95.0ms	(/ (+ x 1) (sqrt (- 1 x)))
156.0ms	(log (/ (+ x 1) (sqrt (- 1 x))))
119.0ms	(log (/ 1 (sqrt (- 1 x))))

simplify2.4s

Counts

244 → 244

Iterations

Iter	Nodes
done	5002
3	4509
2	1351
1	638
0	315

prune866.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	15

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.8s	3390×	body	1280	valid
1.9s	2482×	body	640	valid
1.0s	8102×	body	80	nan
536.0ms	1276×	body	320	valid
188.0ms	629×	body	160	valid
50.0ms	223×	body	80	valid