Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	61×	body	1280	valid
15.0ms	44×	body	640	valid
9.0ms	122×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2490
7	682
6	240
5	101
4	51
3	30
2	22
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize26.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 96

Calls

1 calls:

108.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	1941
2	713
1	335
0	149

prune327.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (* x x) -1/3) x x)
0.2b	(* (* x x) -1/3)
18.3b	(fma (pow x 5) 2/15 (fma (* (* x x) -1/3) x x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`associate-l` `*-commutative` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma (* (* x x) -1/3) x x)
19.0ms	(* (* x x) -1/3)
0.0ms	(fma (pow x 5) 2/15 (fma (* (* x x) -1/3) x x))

series228.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(fma (* (* x x) -1/3) x x)
50.0ms	(* (* x x) -1/3)
83.0ms	(fma (pow x 5) 2/15 (fma (* (* x x) -1/3) x x))

simplify1.6s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	1509
2	455
1	156
0	75

prune250.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 96

Calls

1 calls:

142.0ms

(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	1870
2	684
1	329
0	147

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes221.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.2b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	1702×	body	1280	valid
399.0ms	1285×	body	640	valid
317.0ms	4092×	body	80	valid
115.0ms	602×	body	320	valid
39.0ms	319×	body	160	valid