Details

sample73.0ms

Algorithm

intervals

Results

28.0ms	59×	body	1280	valid
11.0ms	33×	body	640	valid
8.0ms	129×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	31	10
4	55	10
5	122	10
6	454	10
7	3403	10
done	5001	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize20.0ms

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))))
3.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

3 → 141

Calls

3 calls:

15.0ms	(+ 1.0 (exp (* -2.0 x)))
30.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
157.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series222.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ 1.0 (exp (* -2.0 x)))
59.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
131.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.1s

Counts

150 → 150

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	3092
1	419	2519
2	1292	2225
done	5000	2060

prune508.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.4b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

35.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
28.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
61.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
72.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
41.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
104.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify937.0ms

Counts

134 → 134

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	115	2065
1	271	1985
2	1166	1809
done	5000	1787

prune515.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 2)
3.4b	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

rewrite931.0ms

Algorithm

rewrite-expression-head

Rules

197×	`add-sqr-sqrt`
191×	`*-un-lft-identity`
180×	`times-frac`
125×	`add-cube-cbrt`
93×	`prod-diff`
58×	`unpow-prod-down`
31×	`fma-neg`
30×	`difference-of-squares`
27×	`distribute-lft-out`
19×	`unpow2` `sqr-pow`
12×	`associate-/l*`
9×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube`
6×	`div-inv` `distribute-lft-out--` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`pow-unpow`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `associate-/l/`
1×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `div-sub` `pow-exp`

Counts

4 → 268

Calls

4 calls:

628.0ms	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
16.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 2)
251.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

series514.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
61.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
41.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 2)
127.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

simplify1.6s

Counts

280 → 280

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	392	7900
1	914	6718
2	3111	6012
done	5001	5836

prune761.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b	(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b	(* (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))))
3.4b	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

219×	`*-un-lft-identity`
218×	`times-frac`
217×	`add-sqr-sqrt`
159×	`add-cube-cbrt`
93×	`prod-diff`
67×	`sqrt-prod`
49×	`unpow-prod-down`
32×	`add-exp-log`
31×	`fma-neg`
27×	`associate-r` `associate-l`
26×	`distribute-lft-out`
20×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`associate-/r*`
13×	`unpow2` `sqr-pow`
11×	`div-exp`
8×	`pow1` `sqrt-div` `prod-exp` `associate-/r/` `div-inv`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `flip3-+` `cbrt-unprod` `flip-+` `log1p-expm1-u`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `inv-pow`

Counts

4 → 339

Calls

4 calls:

17.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
17.0ms	(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
108.0ms	(* (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))))
241.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

series330.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
73.0ms	(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
57.0ms	(* (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))))
126.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

simplify724.0ms

Counts

351 → 351

Iterations

Useful iterations: done (706.0ms)

Iter	Nodes	Cost
0	432	8580
1	1072	7201
done	5000	6277

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.6b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	135
1	62	135
done	62	135

end0.0ms

sample2.1s

Algorithm

intervals

Results

646.0ms	1739×	body	1280	valid
591.0ms	4061×	body	80	valid
363.0ms	1279×	body	640	valid
162.0ms	615×	body	320	valid
30.0ms	306×	body	160	valid