Details

sample71.0ms

Algorithm

intervals

Results

32.0ms	54×	body	1280	valid
12.0ms	39×	body	640	valid
10.0ms	136×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	11×	body	160	valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
63×	`times-frac`
61×	`add-cube-cbrt`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `expm1-def` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 132

Calls

2 calls:

24.0ms	(/ 2 (+ 1 (exp (* -2 x))))
74.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series92.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
69.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	2009
3	2009
2	948
1	397
0	172

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp (* -2 x)) 1))
2.9b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
63×	`times-frac`
61×	`add-cube-cbrt`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
7×	`add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `expm1-def` `difference-of-sqr-1` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 132

Calls

2 calls:

13.0ms	(/ 2 (+ (exp (* -2 x)) 1))
149.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series140.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 2 (+ (exp (* -2 x)) 1))
105.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify1.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	2004
3	2004
2	909
1	389
0	169

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2/15 (pow x 5) x)
0.1b	(* x (* x x))
23.0b	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma 2/15 (pow x 5) x)
23.0ms	(* x (* x x))
0.0ms	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))

series282.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(fma 2/15 (pow x 5) x)
35.0ms	(* x (* x x))
60.0ms	(fma (* x (* x x)) -1/3 (fma 2/15 (pow x 5) x))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	2004
4	2004
3	1342
2	341
1	119
0	70

prune504.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes210.0ms

Accuracy

94.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 29.1b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1642×	body	1280	valid
540.0ms	1289×	body	640	valid
440.0ms	4119×	body	80	valid
160.0ms	617×	body	320	valid
58.0ms	333×	body	160	valid