Details

sample49.0ms

Algorithm

intervals

Results

16.0ms	42×	body	640	valid
15.0ms	58×	body	1280	valid
4.0ms	119×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	18×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	115	10
6	270	10
7	776	10
8	2948	10
done	5001	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
4.3b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

13.0ms	(+ 1.0 (exp (* -2.0 x)))
29.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
135.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series164.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
107.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.8s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	116	947
1	252	903
2	554	847
3	1216	838
4	3540	836
done	5001	836

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
6×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`associate-*r/` `sqr-pow`
1×	`pow1` `distribute-rgt-in` `cube-mult` `pow-to-exp` `distribute-lft-in` `flip3-+` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

27.0ms

(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))

simplify4.6s

Counts

38 → 38

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	69	483
1	209	455
2	917	417
3	4541	417
done	5001	417

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
0.0b	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
4.3b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
92×	`times-frac`
71×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
27×	`distribute-lft-out`
24×	`swap-sqr`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r` `associate-l`
12×	`associate-/r/`
11×	`pow1`
8×	`associate-/r*`
7×	`associate-/l*`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 175

Calls

4 calls:

14.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
204.0ms	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
82.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
42.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series568.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
279.0ms	(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
71.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
153.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.8s

Counts

187 → 187

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	251	5279
1	704	4778
2	2701	3955
done	5000	3624

prune628.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
4.3b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

7.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
11.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
20.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
49.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series751.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
212.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
195.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
128.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (577.0ms)

Iter	Nodes	Cost
0	95	1194
1	236	1145
2	678	982
3	2129	889
done	5000	889

prune265.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

98.3% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 31.9b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	136
1	60	136
done	60	136

end0.0ms

sample2.2s

Algorithm

intervals

Results

714.0ms	1711×	body	1280	valid
507.0ms	649×	body	320	valid
368.0ms	1208×	body	640	valid
277.0ms	4092×	body	80	valid
35.0ms	340×	body	160	valid