Details

sample53.0ms

Algorithm

intervals

Results

25.0ms	70×	body	1280	valid
8.0ms	54×	body	640	valid
6.0ms	188×	body	80	valid
3.0ms	31×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
3	15
2	13
1	10
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.9b	(- (exp x) 1.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
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 → 52

Calls

2 calls:

26.0ms	(/ (- (exp x) 1.0) x)
7.0ms	(- (exp x) 1.0)

series60.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- (exp x) 1.0) x)
17.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	4953
2	817
1	227
0	99

prune320.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite37.0ms

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:

24.0ms	(* x (+ 1/2 (* 1/6 x)))
11.0ms	(* 1/6 x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* x (+ 1/2 (* 1/6 x)))
28.0ms	(* 1/6 x)

simplify1.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	873
1	207
0	70

prune177.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 (exp x)) x)
3.9b	(- 1.0 (exp x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
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 → 52

Calls

2 calls:

30.0ms	(/ (- 1.0 (exp x)) x)
10.0ms	(- 1.0 (exp x))

series91.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- 1.0 (exp x)) x)
24.0ms	(- 1.0 (exp x))

simplify771.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	846
1	234
0	101

prune213.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch31.0ms

Steps

Iters	Range		Point
9	-7177.526510763842	-4.96108325192681e-05	-0.00016449658624776694

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

665.0ms	2347×	body	1280	valid
362.0ms	1573×	body	640	valid
235.0ms	5446×	body	80	valid
101.0ms	870×	body	320	valid
29.0ms	420×	body	160	valid