Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	69×	body	1280	valid
13.0ms	68×	body	10240	exit
8.0ms	59×	body	640	valid
2.0ms	93×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	15×	body	160	valid

simplify1.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite35.0ms

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:

21.0ms	(/ (exp x) (- (exp x) 1.0))
11.0ms	(- (exp x) 1.0)

series73.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (exp x) (- (exp x) 1.0))
33.0ms	(- (exp x) 1.0)

simplify71.0ms

Counts: 57 → 57

prune152.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

31.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
42.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
43.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
20.0ms	(* x 1/6)

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
70.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
108.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)

simplify51.0ms

Counts: 103 → 103

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

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)

rewrite73.0ms

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:

48.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
12.0ms	(+ (* 1/12 x) (/ 1 x))
11.0ms	(* 1/12 x)

series102.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
59.0ms	(+ (* 1/12 x) (/ 1 x))
18.0ms	(* 1/12 x)

simplify62.0ms

Counts: 52 → 52

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.8b	(- 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:

6.0ms	(/ 1.0 (exp x))
35.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
21.0ms	(- 1 (/ 1.0 (exp x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1.0 (exp x))
78.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
41.0ms	(- 1 (/ 1.0 (exp x)))

simplify56.0ms

Counts: 106 → 106

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify167.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2283×	body	1280	valid
809.0ms	2521×	body	10240	exit
301.0ms	1614×	body	640	valid
98.0ms	2874×	body	80	valid
97.0ms	798×	body	320	valid
33.0ms	432×	body	160	valid