Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	60×	body	640	valid
17.0ms	60×	body	1280	valid
7.0ms	181×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	13×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	16
3	16
2	14
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1) x)
4.1b	(- (exp x) 1)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 62

Calls

2 calls:

17.0ms	(/ (- (exp x) 1) x)
15.0ms	(- (exp x) 1)

series77.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- (exp x) 1) x)
16.0ms	(- (exp x) 1)

simplify2.5s

Counts

68 → 68

Iterations

Iter	Nodes
4	4525
3	1404
2	513
1	230
0	106

prune461.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 40

Calls

2 calls:

13.0ms	(* x (+ 1/2 (* 1/6 x)))
7.0ms	(* 1/6 x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* x (+ 1/2 (* 1/6 x)))
16.0ms	(* 1/6 x)

simplify611.0ms

Counts

46 → 46

Iterations

Iter	Nodes
3	2127
2	512
1	182
0	70

prune282.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1) x)
4.1b	(- (exp x) 1)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 62

Calls

2 calls:

30.0ms	(/ (- (exp x) 1) x)
8.0ms	(- (exp x) 1)

series71.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- (exp x) 1) x)
21.0ms	(- (exp x) 1)

simplify2.8s

Counts

68 → 68

Iterations

Iter	Nodes
4	4525
3	1404
2	513
1	230
0	106

prune421.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 22.0b

bsearch38.0ms

Steps

Iters	Range		Point
10	-102.89153151738607	-2.897210331759478e-16	-0.0001490270566187492

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

879.0ms	2193×	body	1280	valid
549.0ms	818×	body	320	valid
520.0ms	1629×	body	640	valid
340.0ms	5609×	body	80	valid
49.0ms	409×	body	160	valid