Details

sample35.0ms

Algorithm

intervals

Results

15.0ms	70×	body	1280	valid
7.0ms	46×	body	640	valid
3.0ms	120×	body	80	valid
1.0ms	16×	body	320	valid
0.0ms	4×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	111	10
6	256	10
7	719	10
8	2450	10
done	5000	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize11.0ms

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)))
1.2b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite41.0ms

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:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
31.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series132.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
15.0ms	(+ 1.0 (exp (* -2.0 x)))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 4 (748.0ms)

Iter	Nodes	Cost
0	116	947
1	252	903
2	538	847
3	1284	838
4	3781	836
done	5000	836

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify1.3s

Counts

38 → 38

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	69	483
1	223	455
2	871	417
done	5000	417

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
0.8b	(log (exp (* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
5×	`log-prod`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`pow1` `associate-r` `prod-exp` `log-pow` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `exp-sum` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `exp-prod` `exp-to-pow` `flip3-+` `unpow3` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 51

Calls

2 calls:

10.0ms	(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
2.0ms	(log (exp (* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))))

series177.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))
88.0ms	(log (exp (* (pow x 3) (+ 0.33333333333333337 (* 5.551115123125783e-17 x)))))

simplify479.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	94	762
1	255	693
2	923	621
done	5000	621

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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)))
1.1b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.2b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms	(+ 1.0 (exp (* -2.0 x)))
75.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
33.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series213.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
15.0ms	(+ 1.0 (exp (* -2.0 x)))
77.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: 4 (814.0ms)

Iter	Nodes	Cost
0	145	1321
1	292	1228
2	591	1137
3	1357	1128
4	3967	1124
done	5000	1124

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

98% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 32.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	49
1	35	38
done	35	38

end0.0ms

sample865.0ms

Algorithm

intervals

Results

370.0ms	1738×	body	1280	valid
175.0ms	1231×	body	640	valid
105.0ms	4140×	body	80	valid
55.0ms	581×	body	320	valid
18.0ms	310×	body	160	valid