Details

sample53.0ms

Algorithm

intervals

Results

18.0ms	79×	body	10240	exit
15.0ms	80×	body	1280	valid
6.0ms	46×	body	640	valid
2.0ms	93×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite25.0ms

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×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 67

Calls

2 calls:

14.0ms	(/ (exp x) (- (exp x) 1.0))
9.0ms	(- (exp x) 1.0)

series50.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify693.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	897
1	253
0	117

prune292.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x 1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/12 x 1/2)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma 1/12 x 1/2)

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	950
3	208
2	59
1	21
0	15

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (log (fma 1/12 x 1/2)))
0.1b	(fma 1/12 x 1/2)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `log-prod` `exp-sum`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
1×	`log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 27

Calls

2 calls:

5.0ms	(exp (log (fma 1/12 x 1/2)))
1.0ms	(fma 1/12 x 1/2)

series114.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(exp (log (fma 1/12 x 1/2)))
56.0ms	(fma 1/12 x 1/2)

simplify4.7s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	2956
3	551
2	156
1	60
0	40

prune169.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow E (log (fma 1/12 x 1/2)))
0.1b	(fma 1/12 x 1/2)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `pow-unpow`
3×	`unpow-prod-up` `log-prod` `unpow-prod-down` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `pow-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `fma-udef` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

3.0ms	(pow E (log (fma 1/12 x 1/2)))
0.0ms	(fma 1/12 x 1/2)

series992.0ms

Counts

2 → 6

Calls

2 calls:

935.0ms	(pow E (log (fma 1/12 x 1/2)))
57.0ms	(fma 1/12 x 1/2)

simplify2.6s

Counts

40 → 40

Iterations

Iter	Nodes
done	5002
3	3176
2	526
1	173
0	73

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes69.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 21.6b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2546×	body	10240	exit
697.0ms	2243×	body	1280	valid
416.0ms	1710×	body	640	valid
134.0ms	2822×	body	80	valid
101.0ms	820×	body	320	valid
32.0ms	406×	body	160	valid