Details

sample70.0ms

Algorithm

intervals

Results

26.0ms	55×	body	1280	valid
10.0ms	31×	body	640	valid
10.0ms	143×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	234
1	15	234
2	20	234
3	28	234
4	49	234
5	98	234
6	224	234
7	760	234
8	2654	234
done	5012	234

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite129.0ms

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-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

3 → 141

Calls

3 calls:

15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
12.0ms	(+ 1.0 (exp (* -2.0 x)))
96.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series197.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
30.0ms	(+ 1.0 (exp (* -2.0 x)))
117.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.7s

Counts

150 → 150

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	180	63450
1	419	54464
2	1131	45171
3	3707	43937
done	5000	43912

prune601.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

164×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
108×	`prod-diff` `add-cube-cbrt`
98×	`times-frac`
59×	`log-prod`
56×	`exp-sum`
26×	`distribute-lft-out`
18×	`fma-neg`
16×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
7×	`log-pow`
6×	`exp-prod` `add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `difference-of-squares`
3×	`fma-def` `associate-/l*`
2×	`sub-neg` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `flip--`

Counts

4 → 218

Calls

4 calls:

17.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms	(+ 1.0 (exp (* -2.0 x)))
70.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
175.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
27.0ms	(+ 1.0 (exp (* -2.0 x)))
116.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
104.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify4.7s

Counts

230 → 230

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	307	128319
1	566	93918
2	1348	75322
3	4018	72987
done	5000	72962

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite687.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity`
216×	`prod-diff`
206×	`add-sqr-sqrt`
186×	`add-cube-cbrt`
177×	`log-prod`
168×	`exp-sum`
160×	`times-frac`
39×	`distribute-lft-out`
26×	`associate-/r/`
21×	`log-pow`
18×	`exp-prod` `fma-neg`
13×	`flip3-+` `flip-+` `div-inv`
8×	`difference-of-squares`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
3×	`log-div` `exp-diff` `rem-log-exp`
1×	`flip3--` `diff-log` `flip--`

Counts

4 → 320

Calls

4 calls:

93.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
205.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
205.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
158.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
94.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
101.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
105.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify4.9s

Counts

332 → 332

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	274	241219
1	483	158117
2	950	120361
3	2525	116017
done	5001	109693

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

284×	`*-un-lft-identity`
216×	`prod-diff`
212×	`add-sqr-sqrt`
192×	`add-cube-cbrt`
172×	`times-frac`
118×	`log-prod`
112×	`exp-sum`
42×	`distribute-lft-out`
36×	`fma-neg`
28×	`associate-/r/`
14×	`flip3-+` `log-pow` `flip-+` `div-inv`
12×	`exp-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
2×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 332

Calls

4 calls:

87.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
99.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
174.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
188.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
120.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
97.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
118.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify4.4s

Counts

344 → 344

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	274	222962
1	483	157734
2	950	120118
3	2525	115774
done	5001	109450

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes618.0ms

Accuracy

99.8% (0.1b remaining)

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

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	28	899
1	39	899
done	39	899

end0.0ms

sample2.2s

Algorithm

intervals

Results

751.0ms	1232×	body	640	valid
734.0ms	1752×	body	1280	valid
333.0ms	4110×	body	80	valid
137.0ms	585×	body	320	valid
39.0ms	321×	body	160	valid