Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	64×	body	1280	valid
14.0ms	73×	body	10240	exit
11.0ms	57×	body	640	valid
3.0ms	25×	body	320	valid
3.0ms	98×	body	80	valid
1.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.6b	(- (exp x) 1.0)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
34.0ms	(- (exp x) 1.0)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (exp x) (- (exp x) 1.0))
30.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	2908
2	645
1	191
0	91

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
0.1b	(* (* x x) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`pow1`
9×	`times-frac`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `div-inv`

Counts

3 → 70

Calls

3 calls:

51.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
41.0ms	(* (* x x) (+ (* x 1/6) 1/2))
8.0ms	(* x 1/6)

series187.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
107.0ms	(* (* x x) (+ (* x 1/6) 1/2))
23.0ms	(* x 1/6)

simplify2.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	3109
1	431
0	150

prune393.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
0.3b	(* x 1/12)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`flip3-+` `frac-add` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

43.0ms	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
11.0ms	(* x 1/12)

series44.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (/ 1 x) (+ 1/2 (* x 1/12)))
27.0ms	(* x 1/12)

simplify623.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1038
1	238
0	78

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.6b	(- 1 (/ 1.0 (exp x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

54.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms	(/ 1.0 (exp x))
26.0ms	(- 1 (/ 1.0 (exp x)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
23.0ms	(/ 1.0 (exp x))
41.0ms	(- 1 (/ 1.0 (exp x)))

simplify687.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1153
1	345
0	162

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2532×	body	10240	exit
768.0ms	2220×	body	1280	valid
392.0ms	1665×	body	640	valid
105.0ms	2870×	body	80	valid
99.0ms	820×	body	320	valid
34.0ms	428×	body	160	valid