Details

sample89.0ms

Algorithm

intervals

Results

39.0ms	70×	body	1280	valid
18.0ms	49×	body	640	valid
13.0ms	170×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify44.0ms

Calls

1 calls:

Slowest

44.0ms

(/ (- (exp x) 1) x)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.4b

localize8.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`associate-/l*`
3×	`*-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `flip--` `add-log-exp` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `div-sub` `div-inv`

Calls

2 calls:

Slowest

8.0ms	(/ (- (exp x) 1) x)
3.0ms	(- (exp x) 1)

series33.0ms

Calls

2 calls:

Slowest

22.0ms	(/ (- (exp x) 1) x)
11.0ms	(- (exp x) 1)

simplify486.0ms

Calls

13 calls:

Slowest

150.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
105.0ms	(* -1 (/ (- 1 (exp x)) x))
58.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
51.0ms	(- (* (exp x) (exp x)) (* 1 1))
21.0ms	(sqrt (- (exp x) 1))

prune341.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 1/6 x)
0.1b	(* x (+ (* 1/6 x) 1/2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
2×	`pow1` `add-cbrt-cube` `associate-r/` `add-exp-log` `-commutative` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

2 calls:

Slowest

6.0ms	(* x (+ (* 1/6 x) 1/2))
0.0ms	(* 1/6 x)

series44.0ms

Calls

2 calls:

Slowest

33.0ms	(* x (+ (* 1/6 x) 1/2))
11.0ms	(* 1/6 x)

simplify443.0ms

Calls

13 calls:

Slowest

258.0ms	(+ (* (* 1/6 x) (* 1/6 x)) (- (* 1/2 1/2) (* (* 1/6 x) 1/2)))
54.0ms	(+ (* 1/2 x) (* 1/6 (pow x 2)))
42.0ms	(+ (* 1/2 x) (* 1/6 (pow x 2)))
30.0ms	(+ (* 1/2 x) (* 1/6 (pow x 2)))
13.0ms	(- (* 1/6 x) 1/2)

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (/ (exp x) x) (/ 1 x))
0.0b	(/ (exp x) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `div-inv`
4×	`add-log-exp`
3×	`add-cube-cbrt` `associate-/l*`
2×	`pow1` `add-cbrt-cube` `distribute-rgt-out--` `add-exp-log` `insert-posit16` `distribute-lft-out--`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div` `difference-of-squares`

Calls

2 calls:

Slowest

13.0ms	(- (/ (exp x) x) (/ 1 x))
6.0ms	(/ (exp x) x)

series52.0ms

Calls

2 calls:

Slowest

30.0ms	(- (/ (exp x) x) (/ 1 x))
22.0ms	(/ (exp x) x)

simplify464.0ms

Calls

20 calls:

Slowest

147.0ms	(* -1 (/ (- 1 (exp x)) x))
70.0ms	(/ (exp (/ (exp x) x)) (exp (/ 1 x)))
52.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
32.0ms	(/ (- (exp x) 1) x)
25.0ms	(+ (* 1/2 x) (+ (/ 1 x) 1))

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize0.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`associate-/l*`
3×	`*-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `flip--` `add-log-exp` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `div-sub` `div-inv`

Calls

2 calls:

Slowest

8.0ms	(/ (- (exp x) 1) x)
3.0ms	(- (exp x) 1)

series55.0ms

Calls

2 calls:

Slowest

36.0ms	(/ (- (exp x) 1) x)
19.0ms	(- (exp x) 1)

simplify469.0ms

Calls

13 calls:

Slowest

134.0ms	(* -1 (/ (- 1 (exp x)) x))
104.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
57.0ms	(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
38.0ms	(- (* (exp x) (exp x)) (* 1 1))
31.0ms	(/ (- (exp x) 1) x)

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.7b

bsearch54.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2340×	body	1280	valid
573.0ms	1657×	body	640	valid
542.0ms	814×	body	320	valid
407.0ms	5314×	body	80	valid
55.0ms	396×	body	160	valid