Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	57×	body	1280	valid
18.0ms	52×	body	640	valid
7.0ms	106×	body	80	valid
7.0ms	29×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

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

rewrite163.0ms

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:

18.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
12.0ms	(+ 1.0 (exp (* -2.0 x)))
130.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series175.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
100.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.2s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	116	947
1	252	903
2	555	847
3	1212	838
4	3536	836
done	5000	836

prune246.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

34.0ms

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

series146.0ms

Counts

1 → 3

Calls

1 calls:

146.0ms

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

simplify4.4s

Counts

38 → 38

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	69	483
1	209	455
2	906	417
3	4459	417
done	5000	417

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
0.0b	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
4.2b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite632.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
45×	`times-frac`
36×	`unpow-prod-down` `cube-prod`
30×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out` `sqr-pow`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3-+` `associate-/r/` `flip-+`
5×	`distribute-lft-out--`
4×	`associate-l`
3×	`pow-unpow` `div-inv`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--`

Counts

4 → 152

Calls

4 calls:

256.0ms	(* (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
83.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
30.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
254.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series458.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
74.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
73.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
196.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify1.4s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	241	3722
1	701	3482
2	2637	3181
done	5000	3179

prune554.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
4.2b	(log (exp (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))))
4.2b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite882.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
54×	`unpow-prod-down` `cube-prod`
48×	`difference-of-squares`
40×	`times-frac`
34×	`log-pow`
33×	`exp-prod`
23×	`add-cube-cbrt`
21×	`sqr-pow`
10×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`pow1`
5×	`log-prod`
4×	`associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`difference-cubes` `sub-neg` `exp-sum` `pow-exp` `div-inv` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `cube-div` `cube-mult` `pow-to-exp` `log-div` `flip3--` `pow-pow` `exp-diff` `diff-log` `unpow3` `div-exp` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 158

Calls

4 calls:

56.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
26.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
581.0ms	(log (exp (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))))
210.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series487.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
65.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
156.0ms	(log (exp (- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))))
181.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify1.3s

Counts

170 → 170

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	246	3539
1	635	3224
2	1901	2978
done	5000	2962

prune548.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes418.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.0b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	118
1	55	118
done	55	118

end0.0ms

sample2.1s

Algorithm

intervals

Results

631.0ms	1680×	body	1280	valid
425.0ms	354×	body	160	valid
334.0ms	4117×	body	80	valid
300.0ms	1207×	body	640	valid
105.0ms	642×	body	320	valid