Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	58×	body	1280	valid
11.0ms	18×	body	320	valid
9.0ms	36×	body	640	valid
8.0ms	137×	body	80	valid
1.0ms	7×	body	160	valid

simplify14.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	10145
8	1977
7	586
6	228
5	100
4	48
3	27
2	20
1	16
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

5.0ms	(+ 1 (exp (* -2 x)))
14.0ms	(/ 2 (+ 1 (exp (* -2 x))))
59.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ 1 (exp (* -2 x)))
43.0ms	(/ 2 (+ 1 (exp (* -2 x))))
71.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify14.4s

Counts

76 → 76

Iterations

Iter	Nodes
4	4219
3	1538
2	617
1	264
0	120

prune603.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
0.5b	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
2.2b	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

408×	`times-frac`
311×	`*-un-lft-identity`
246×	`add-sqr-sqrt`
239×	`sqrt-prod`
188×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*` `difference-of-squares`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
10×	`div-inv`
8×	`add-log-exp`
7×	`difference-of-sqr-1`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 335

Calls

4 calls:

5.0ms	(+ 1 (exp (* -2 x)))
34.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
20.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
135.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

series161.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1 (exp (* -2 x)))
21.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
70.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
57.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

simplify5.9s

Counts

347 → 347

Iterations

Iter	Nodes
3	5710
2	1788
1	795
0	357

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b	(/ (- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1) (+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1)))
2.2b	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

rewrite648.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
137×	`times-frac`
108×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
48×	`swap-sqr`
36×	`associate-r` `associate-l` `distribute-lft-out`
30×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r/`
18×	`pow1`
12×	`flip3-+` `flip-+`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`frac-add` `add-log-exp`
4×	`frac-times` `associate-l/` `associate-r/` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`pow2` `pow-plus` `flip3--` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub`

Counts

4 → 230

Calls

4 calls:

69.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
57.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
442.0ms	(/ (- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1) (+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1)))
72.0ms	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

series505.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
35.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
305.0ms	(/ (- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1) (+ (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x))))) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1)))
120.0ms	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

simplify2.4s

Counts

242 → 242

Iterations

Iter	Nodes
2	3168
1	863
0	267

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
0.0b	(* (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1))
2.2b	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

178×	`*-un-lft-identity`
128×	`times-frac`
106×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
54×	`swap-sqr`
42×	`distribute-lft-out`
40×	`associate-r` `associate-l`
30×	`add-cbrt-cube` `add-exp-log`
25×	`pow1`
16×	`associate-/r/`
14×	`flip3-+` `flip-+`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`cbrt-undiv` `div-exp` `div-inv`
6×	`frac-times` `add-log-exp`
4×	`associate-l/` `associate-r/` `insert-posit16`
3×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `flip--`

Counts

4 → 232

Calls

4 calls:

57.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
42.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
275.0ms	(* (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1))
103.0ms	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

series204.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
30.0ms	(* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))
51.0ms	(* (+ (/ 2 (+ 1 (exp (* -2 x)))) 1) (+ (/ 2 (+ 1 (exp (* -2 x)))) 1))
87.0ms	(- (* (/ 2 (+ 1 (exp (* -2 x)))) (* (/ 2 (+ 1 (exp (* -2 x)))) (/ 2 (+ 1 (exp (* -2 x)))))) 1)

simplify2.7s

Counts

244 → 244

Iterations

Iter	Nodes
2	2757
1	763
0	223

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes443.0ms

Accuracy

96.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 29.7b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	51
1	51
0	37

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	1729×	body	1280	valid
568.0ms	1268×	body	640	valid
410.0ms	4039×	body	80	valid
198.0ms	644×	body	320	valid
55.0ms	320×	body	160	valid