Details

sample78.0ms

Algorithm

intervals

Results

30.0ms	63×	body	1280	valid
14.0ms	118×	body	80	valid
12.0ms	36×	body	640	valid
8.0ms	31×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2017
8	2017
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: 32.8b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

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:

67.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

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

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	2004
4	2004
3	1941
2	713
1	335
0	149

prune273.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2/15 (pow x 5) x)
0.1b	(* (* x x) x)
16.2b	(fma -1/3 (* (* x x) x) (fma 2/15 (pow x 5) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
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×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma 2/15 (pow x 5) x)
30.0ms	(* (* x x) x)
1.0ms	(fma -1/3 (* (* x x) x) (fma 2/15 (pow x 5) x))

series333.0ms

Counts

3 → 9

Calls

3 calls:

197.0ms	(fma 2/15 (pow x 5) x)
56.0ms	(* (* x x) x)
80.0ms	(fma -1/3 (* (* x x) x) (fma 2/15 (pow x 5) x))

simplify1.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	2004
4	2004
3	1455
2	362
1	133
0	69

prune230.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

113.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	2001
4	2001
3	1870
2	684
1	329
0	147

prune318.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes192.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 31.0b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample2.9s

Algorithm

intervals

Results

961.0ms	1715×	body	1280	valid
578.0ms	1250×	body	640	valid
490.0ms	4079×	body	80	valid
425.0ms	334×	body	160	valid
230.0ms	622×	body	320	valid