Details

sample57.0ms

Algorithm

intervals

Results

18.0ms	62×	body	1280	valid
11.0ms	135×	body	80	valid
7.0ms	32×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.4s

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	117	10
6	441	10
7	3433	10
done	5000	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite159.0ms

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:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
25.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
124.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series194.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ 1.0 (exp (* -2.0 x)))
57.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
115.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.8s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	116	947
1	261	903
2	923	849
3	4729	838
done	5000	838

prune251.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3))
0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b	(pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)
2.5b	(- (cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)) 1.0)

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `times-frac`
48×	`cbrt-prod`
47×	`add-cube-cbrt`
38×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`associate-/r*`
3×	`pow-unpow` `associate-/l*` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 161

Calls

4 calls:

19.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3))
29.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
22.0ms	(pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)
369.0ms	(- (cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)) 1.0)

series340.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3))
73.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
94.0ms	(pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)
100.0ms	(- (cbrt (pow (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 3)) 1.0)

simplify2.2s

Counts

173 → 173

Iterations

Useful iterations: 2 (645.0ms)

Iter	Nodes	Cost
0	203	3341
1	652	2789
2	3485	2552
done	5001	2552

prune365.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
7.8b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

20.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
13.0ms	(* 0.33333333333333337 (pow x 3))
10.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
71.0ms	(* 0.33333333333333337 (pow x 3))
134.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify878.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	102	898
1	290	811
2	1196	759
done	5000	759

prune204.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	53
1	37	41
done	37	41

end0.0ms

sample2.0s

Algorithm

intervals

Results

669.0ms	1629×	body	1280	valid
528.0ms	4116×	body	80	valid
345.0ms	1279×	body	640	valid
99.0ms	647×	body	320	valid
31.0ms	329×	body	160	valid