Details

sample65.0ms

Algorithm

intervals

Results

25.0ms	71×	body	1280	valid
17.0ms	51×	body	640	valid
8.0ms	179×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid

simplify34.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

34.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

Slowest

34.0ms	(/ (- (exp x) 1) x)
16.0ms	(- (exp x) 1)

series74.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

43.0ms	(/ (- (exp x) 1) x)
30.0ms	(- (exp x) 1)

simplify3.4s

Counts

98 → 70

Calls

98 calls:

Slowest

266.0ms	(/ (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)) (* (* x x) x))
260.0ms	(* (* (/ (- (exp x) 1) x) (/ (- (exp x) 1) x)) (/ (- (exp x) 1) x))
229.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
163.0ms	(* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))
127.0ms	(* -1 (/ (- 1 (exp x)) x))

prune525.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 42

Calls

2 calls:

Slowest

19.0ms	(* x (+ (* 1/6 x) 1/2))
5.0ms	(* 1/6 x)

series133.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

105.0ms	(* x (+ (* 1/6 x) 1/2))
28.0ms	(* 1/6 x)

simplify2.3s

Counts

50 → 48

Calls

50 calls:

Slowest

323.0ms	(exp (* x (+ (* 1/6 x) 1/2)))
268.0ms	(* x (- (* (* 1/6 x) (* 1/6 x)) (* 1/2 1/2)))
246.0ms	(* x (+ (pow (* 1/6 x) 3) (pow 1/2 3)))
224.0ms	(* (* (* x x) x) (* (* (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2)))
200.0ms	(* (* (* 1/6 1/6) 1/6) (* (* x x) x))

prune384.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`difference-of-sqr--1` `distribute-lft-out` `associate-/l*`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3-+` `flip-+` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

Slowest

19.0ms	(/ (+ (exp x) -1) x)
14.0ms	(+ (exp x) -1)

series87.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

65.0ms	(/ (+ (exp x) -1) x)
21.0ms	(+ (exp x) -1)

simplify3.2s

Counts

76 → 58

Calls

76 calls:

Slowest

536.0ms	(* x (+ (* (exp x) (exp x)) (- (* -1 -1) (* (exp x) -1))))
383.0ms	(/ (* (* (+ (exp x) -1) (+ (exp x) -1)) (+ (exp x) -1)) (* (* x x) x))
300.0ms	(* (* (/ (+ (exp x) -1) x) (/ (+ (exp x) -1) x)) (/ (+ (exp x) -1) x))
273.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
226.0ms	(+ (* (exp x) (exp x)) (- (* -1 -1) (* (exp x) -1)))

prune308.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.0b

bsearch43.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

979.0ms	2338×	body	1280	valid
729.0ms	5287×	body	80	valid
545.0ms	1599×	body	640	valid
143.0ms	805×	body	320	valid
52.0ms	434×	body	160	valid