Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	108×	body	10240	exit
14.0ms	70×	body	1280	valid
7.0ms	54×	body	640	valid
2.0ms	94×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite47.0ms

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` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

34.0ms	(/ (exp x) (- (exp x) 1.0))
11.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) (- (exp x) 1.0))
17.0ms	(- (exp x) 1.0)

simplify63.0ms

Counts: 57 → 57

prune132.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

32.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
13.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series78.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
44.0ms	(+ (* 1/12 x) (/ 1 x))
19.0ms	(* 1/12 x)

simplify102.0ms

Counts: 52 → 52

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0b	(- 1 (/ 1.0 (exp x)))

rewrite66.0ms

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` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

7.0ms	(/ 1.0 (exp x))
38.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
17.0ms	(- 1 (/ 1.0 (exp x)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
57.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify35.0ms

Counts: 106 → 106

prune154.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
0.0b	(/ 1.0 (exp x))
0.0b	(/ 1.0 (exp x))
2.6b	(- 1 (sqrt (/ 1.0 (exp x))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
35×	`times-frac`
30×	`add-cube-cbrt`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-prod` `associate-/l*`
8×	`distribute-lft-out`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`div-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`associate-/r/` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip--` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

38.0ms	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
8.0ms	(/ 1.0 (exp x))
7.0ms	(/ 1.0 (exp x))
21.0ms	(- 1 (sqrt (/ 1.0 (exp x))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
15.0ms	(/ 1.0 (exp x))
14.0ms	(/ 1.0 (exp x))
71.0ms	(- 1 (sqrt (/ 1.0 (exp x))))

simplify40.0ms

Counts: 127 → 127

prune280.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

96.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

597.0ms	2611×	body	10240	exit
552.0ms	1654×	body	640	valid
448.0ms	2244×	body	1280	valid
135.0ms	2886×	body	80	valid
67.0ms	770×	body	320	valid
27.0ms	447×	body	160	valid