Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	61×	body	1280	valid
10.0ms	44×	body	640	valid
6.0ms	122×	body	80	valid
4.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
8	2654
7	760
6	224
5	98
4	49
3	28
2	20
1	15
0	9

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize34.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
54×	`prod-diff`
51×	`add-cube-cbrt`
49×	`times-frac`
18×	`fma-neg`
12×	`distribute-lft-out`
8×	`associate-/r/`
4×	`flip3-+` `flip-+` `div-inv`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`

Counts

1 → 90

Calls

1 calls:

142.0ms

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

series159.0ms

Counts

1 → 3

Calls

1 calls:

159.0ms

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

simplify3.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2046
2	711
1	340
0	148

prune653.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17))
0.1b	(* (* x x) (+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17)))
1.3b	(* (* x x) 5.551115123125783e-17)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`flip3-+` `associate-l` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in`

Counts

3 → 63

Calls

3 calls:

18.0ms	(+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17))
64.0ms	(* (* x x) (+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17)))
48.0ms	(* (* x x) 5.551115123125783e-17)

series377.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17))
215.0ms	(* (* x x) (+ (* 0.33333333333333337 x) (* (* x x) 5.551115123125783e-17)))
39.0ms	(* (* x x) 5.551115123125783e-17)

simplify3.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
2	1325
1	312
0	97

prune704.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.7b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

1732×	`times-frac`
1496×	`*-un-lft-identity`
1023×	`add-sqr-sqrt`
1001×	`sqrt-prod`
996×	`add-cube-cbrt`
585×	`prod-diff`
249×	`distribute-lft-out`
195×	`fma-neg`
86×	`sqrt-div`
84×	`associate-/r/`
43×	`flip3-+` `flip-+`
42×	`div-inv`
30×	`associate-/l*`
14×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `hypot-def` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 1114

Calls

4 calls:

25.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
64.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
34.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
680.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series519.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
70.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
179.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
198.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify6.9s

Counts

1126 → 1126

Iterations

Iter	Nodes
done	5003
2	3682
1	1642
0	712

prune6.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes927.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.9b

bsearch2.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	40
1	40
0	29

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	1702×	body	1280	valid
368.0ms	1285×	body	640	valid
264.0ms	4092×	body	80	valid
164.0ms	602×	body	320	valid
47.0ms	319×	body	160	valid