Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	52×	body	1280	valid
6.0ms	33×	body	640	valid
5.0ms	142×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	3495
7	880
6	223
5	97
4	48
3	27
2	20
1	15
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize12.0ms

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)))
3.1b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite108.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
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 → 60

Calls

3 calls:

23.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms	(+ 1.0 (exp (* -2.0 x)))
71.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series185.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
24.0ms	(+ 1.0 (exp (* -2.0 x)))
107.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2207
2	722
1	261
0	116

prune360.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.1b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
64×	`times-frac`
52×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
24×	`swap-sqr`
20×	`distribute-lft-out`
18×	`associate-r` `associate-l`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`add-log-exp`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`+-commutative` `sum-log`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

5.0ms	(+ 1.0 (exp (* -2.0 x)))
5.0ms	(+ 1.0 (exp (* -2.0 x)))
70.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
30.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (exp (* -2.0 x)))
21.0ms	(+ 1.0 (exp (* -2.0 x)))
54.0ms	(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
117.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	1929
1	580
0	178

prune707.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
3.1b	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

10.0ms	(+ 1.0 (exp (* -2.0 x)))
10.0ms	(+ 1.0 (exp (* -2.0 x)))
18.0ms	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
69.0ms	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)

series232.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1.0 (exp (* -2.0 x)))
29.0ms	(+ 1.0 (exp (* -2.0 x)))
61.0ms	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
111.0ms	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify2.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5005
3	3626
2	1002
1	311
0	122

prune391.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
3.1b	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)
3.1b	(log (exp (- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r/` `add-cube-cbrt` `add-log-exp`
7×	`flip3-+` `log-pow` `flip-+`
6×	`exp-prod`
5×	`pow1` `log-prod` `times-frac`
4×	`frac-times` `difference-of-squares`
3×	`associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `exp-sum` `associate-l/` `associate-r/` `distribute-lft-out--`
1×	`+-commutative` `log-div` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out`

Counts

4 → 77

Calls

4 calls:

5.0ms	(+ 1.0 (exp (* -2.0 x)))
23.0ms	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
61.0ms	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)
210.0ms	(log (exp (- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
74.0ms	(/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x)))))
127.0ms	(- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)
128.0ms	(log (exp (- (/ 4.0 (* (+ 1.0 (exp (* -2.0 x))) (+ 1.0 (exp (* -2.0 x))))) 1.0)))

simplify3.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	4930
2	1178
1	368
0	151

prune590.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes489.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.9b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample1.9s

Algorithm

intervals

Results

572.0ms	1684×	body	1280	valid
516.0ms	4140×	body	80	valid
423.0ms	1247×	body	640	valid
123.0ms	627×	body	320	valid
32.0ms	302×	body	160	valid