Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	53×	body	1280	valid
17.0ms	48×	body	640	valid
7.0ms	125×	body	80	valid
5.0ms	24×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.3s

Counts

1 → 1

Iterations

Iter	Nodes
9	9728
8	1956
7	573
6	233
5	101
4	49
3	28
2	20
1	16
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite87.0ms

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:

11.0ms	(/ 2 (+ 1 (exp (* -2 x))))
74.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series98.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ 2 (+ 1 (exp (* -2 x))))
69.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify9.5s

Counts

138 → 138

Iterations

Iter	Nodes
4	5879
3	1933
2	835
1	383
0	172

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (* x -1/3) (* x x) x)
0.3b	(* x -1/3)
18.6b	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma (* x -1/3) (* x x) x)
8.0ms	(* x -1/3)
0.0ms	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))

series181.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma (* x -1/3) (* x x) x)
16.0ms	(* x -1/3)
78.0ms	(fma 2/15 (pow x 5) (fma (* x -1/3) (* x x) x))

simplify1.5s

Counts

52 → 52

Iterations

Iter	Nodes
4	4002
3	897
2	261
1	119
0	68

prune570.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite448.0ms

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:

15.0ms	(/ 2 (+ 1 (exp (* -2 x))))
430.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series94.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 2 (+ 1 (exp (* -2 x))))
69.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify10.0s

Counts

138 → 138

Iterations

Iter	Nodes
4	5879
3	1933
2	835
1	383
0	172

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes362.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 31.0b

bsearch2.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	23

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	1308×	body	640	valid
929.0ms	1685×	body	1280	valid
315.0ms	4064×	body	80	valid
222.0ms	624×	body	320	valid
54.0ms	319×	body	160	valid