Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	80×	body	10240	exit
11.0ms	60×	body	1280	valid
6.0ms	60×	body	640	valid
2.0ms	100×	body	80	valid
2.0ms	25×	body	320	valid
0.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize5.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (exp x) (- (exp x) 1.0))
4.0b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

8.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

series43.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify1.6s

Counts

73 → 73

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	117	900
1	239	790
2	535	706
3	1732	679
done	5001	678

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/12 x (/ 1 x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma 1/12 x (/ 1 x))

simplify5.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	16	108
1	21	105
2	44	93
3	117	93
4	352	93
5	1323	93
6	4450	93
done	5000	93

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (exp x))
4.0b	(- 1 (/ 1.0 (exp x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
4×	`add-cbrt-cube` `div-inv` `add-log-exp` `difference-of-squares`
3×	`add-exp-log` `fma-neg` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 90

Calls

2 calls:

3.0ms	(/ 1.0 (exp x))
12.0ms	(- 1 (/ 1.0 (exp x)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ 1.0 (exp x))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	188	2275
1	434	1907
2	1111	1374
3	4265	1175
done	5001	1175

prune109.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 22.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	34
1	24	27
done	24	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

377.0ms	2203×	body	1280	valid
284.0ms	2578×	body	10240	exit
182.0ms	1656×	body	640	valid
59.0ms	2951×	body	80	valid
57.0ms	798×	body	320	valid
20.0ms	392×	body	160	valid