Details

sample195.0ms

Algorithm

intervals

Results

102.0ms	109×	body	1280	valid
39.0ms	80×	body	640	valid
17.0ms	276×	body	80	nan
10.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	24	12
2	47	12
3	85	12
4	109	12
done	109	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

36.0ms	(/ (+ 1.0 x) (- 1.0 x))
20.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ 1.0 x) (- 1.0 x))
173.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.2s

Counts

88 → 88

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	142	1276
1	840	1214
done	5000	1111

prune295.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (* 2.0 x) 2.0))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
71×	`associate-r`
56×	`unpow-prod-down`
38×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`unswap-sqr`
11×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
6×	`pow1` `pow-to-exp` `associate-l` `pow-exp`
3×	`associate-*r/` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `div-inv`

Counts

2 → 132

Calls

2 calls:

37.0ms	(* x (+ (* 2.0 x) 2.0))
62.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* x (+ (* 2.0 x) 2.0))
111.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify1.1s

Counts

138 → 138

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	258	1735
done	5000	1383

prune623.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* x (+ (* 2.0 x) 2.0)))
0.0b	(* x (+ (* 2.0 x) 2.0))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.4b	(exp (log (* x (+ (* 2.0 x) 2.0))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
77×	`add-sqr-sqrt`
71×	`associate-r`
56×	`unpow-prod-down`
41×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`unswap-sqr`
14×	`pow1`
12×	`prod-exp`
11×	`add-cbrt-cube`
9×	`div-exp`
7×	`associate-*r/`
6×	`pow-to-exp` `associate-l` `pow-exp`
5×	`exp-prod`
4×	`log-div` `pow-prod-down` `log-pow` `add-log-exp`
3×	`flip3-+` `cbrt-unprod` `flip-+`
2×	`log-prod` `exp-diff` `rem-log-exp` `*-commutative`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 162

Calls

4 calls:

20.0ms	(log (* x (+ (* 2.0 x) 2.0)))
33.0ms	(* x (+ (* 2.0 x) 2.0))
63.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
38.0ms	(exp (log (* x (+ (* 2.0 x) 2.0))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(log (* x (+ (* 2.0 x) 2.0)))
80.0ms	(* x (+ (* 2.0 x) 2.0))
95.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
93.0ms	(exp (log (* x (+ (* 2.0 x) 2.0))))

simplify1.1s

Counts

174 → 174

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	314	2191
done	5001	1789

prune729.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* x (+ (* 2.0 x) 2.0)))
0.0b	(* x (+ (* 2.0 x) 2.0))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.4b	(pow E (log (* x (+ (* 2.0 x) 2.0))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
78×	`add-sqr-sqrt`
71×	`associate-r`
59×	`unpow-prod-down`
42×	`add-cube-cbrt` `*-un-lft-identity`
33×	`add-exp-log`
25×	`sqr-pow`
24×	`unpow2`
18×	`unswap-sqr`
15×	`pow1`
12×	`prod-exp`
11×	`add-cbrt-cube`
9×	`div-exp`
8×	`pow-exp`
7×	`pow-to-exp` `associate-*r/`
6×	`associate-l`
5×	`pow-unpow`
4×	`log-div` `pow-prod-down` `log-pow` `add-log-exp`
3×	`flip3-+` `cbrt-unprod` `flip-+`
2×	`log-prod` `rem-log-exp` `*-commutative` `pow-sub`
1×	`cbrt-undiv` `unpow-prod-up` `distribute-rgt-in` `e-exp-1` `pow-pow` `distribute-lft-in` `div-inv`

Counts

4 → 169

Calls

4 calls:

16.0ms	(log (* x (+ (* 2.0 x) 2.0)))
40.0ms	(* x (+ (* 2.0 x) 2.0))
59.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
18.0ms	(pow E (log (* x (+ (* 2.0 x) 2.0))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(log (* x (+ (* 2.0 x) 2.0)))
104.0ms	(* x (+ (* 2.0 x) 2.0))
69.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
219.0ms	(pow E (log (* x (+ (* 2.0 x) 2.0))))

simplify1.5s

Counts

181 → 181

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	358	2453
done	5000	2046

prune899.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	22	24
done	22	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	3383×	body	1280	valid
1.2s	2511×	body	640	valid
1.1s	7937×	body	80	nan
339.0ms	1257×	body	320	valid
208.0ms	648×	body	160	valid
16.0ms	201×	body	80	valid