Details

sample57.0ms

Algorithm

intervals

Results

17.0ms	68×	body	1280	valid
13.0ms	83×	body	10240	exit
9.0ms	59×	body	640	valid
3.0ms	29×	body	320	valid
2.0ms	80×	body	80	valid
1.0ms	20×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.9b	(- (exp x) 1.0)

rewrite43.0ms

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:

31.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series76.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

simplify1.3s

Counts

57 → 57

Iterations

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

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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))
0.4b	(* x 1/6)

rewrite113.0ms

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:

44.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
58.0ms	(* (* x x) (+ (* x 1/6) 1/2))
10.0ms	(* x 1/6)

series136.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
74.0ms	(* (* x x) (+ (* x 1/6) 1/2))
21.0ms	(* x 1/6)

simplify2.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	3109
1	431
0	150

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 x) (* 1/12 x))
0.4b	(* 1/12 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

13.0ms	(+ (/ 1 x) (* 1/12 x))
6.0ms	(* 1/12 x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (/ 1 x) (* 1/12 x))
27.0ms	(* 1/12 x)

simplify2.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	3296
2	489
1	137
0	52

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (exp x))
4.9b	(- 1 (/ 1.0 (exp x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

5.0ms	(/ 1.0 (exp x))
15.0ms	(- 1 (/ 1.0 (exp x)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ 1.0 (exp x))
42.0ms	(- 1 (/ 1.0 (exp x)))

simplify518.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	838
1	217
0	93

prune172.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2279×	body	1280	valid
700.0ms	2559×	body	10240	exit
335.0ms	1650×	body	640	valid
100.0ms	824×	body	320	valid
98.0ms	2830×	body	80	valid
78.0ms	417×	body	160	valid