Details

sample71.0ms

Algorithm

intervals

Results

28.0ms	75×	body	1280	valid
17.0ms	60×	body	640	valid
10.0ms	181×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify27.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

27.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.2b

localize7.0ms

Local error

Found 2 expressions with local error:

4.7b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite54.0ms

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

44.0ms	(/ (- (exp x) 1) x)
9.0ms	(- (exp x) 1)

series64.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(/ (- (exp x) 1) x)
16.0ms	(- (exp x) 1)

simplify1.9s

Counts

67 → 70

Calls

67 calls:

Slowest

261.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
202.0ms	(/ (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)) (* (* x x) x))
109.0ms	(* -1 (/ (- 1 (exp x)) x))
59.0ms	(/ (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))) (* (cbrt x) (cbrt x)))
58.0ms	(/ (- (sqrt (exp x)) (sqrt 1)) (cbrt x))

prune575.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.4b	(* 1/6 x)
0.0b	(* x (+ (* 1/6 x) 1/2))
0.0b	(+ (* 1/6 x) 1/2)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

Slowest

37.0ms	(* x (+ (* 1/6 x) 1/2))
16.0ms	(* 1/6 x)
12.0ms	(+ (* 1/6 x) 1/2)

series182.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(* x (+ (* 1/6 x) 1/2))
61.0ms	(+ (* 1/6 x) 1/2)
28.0ms	(* 1/6 x)

simplify1.5s

Counts

33 → 63

Calls

33 calls:

Slowest

624.0ms	(* (* (* x x) x) (* (* (+ (* 1/6 x) 1/2) (+ (* 1/6 x) 1/2)) (+ (* 1/6 x) 1/2)))
267.0ms	(+ (* (* 1/6 x) (* 1/6 x)) (- (* 1/2 1/2) (* (* 1/6 x) 1/2)))
177.0ms	(* (* (* 1/6 1/6) 1/6) (* (* x x) x))
78.0ms	(* (exp (* 1/6 x)) (exp 1/2))
69.0ms	(+ (* 1/2 x) (* 1/6 (pow x 2)))

prune435.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.7b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite48.0ms

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

37.0ms	(/ (- (exp x) 1) x)
10.0ms	(- (exp x) 1)

series74.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

58.0ms	(/ (- (exp x) 1) x)
15.0ms	(- (exp x) 1)

simplify1.8s

Counts

67 → 70

Calls

67 calls:

Slowest

243.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
188.0ms	(/ (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)) (* (* x x) x))
124.0ms	(* -1 (/ (- 1 (exp x)) x))
72.0ms	(- (pow (exp x) 3) (pow 1 3))
60.0ms	(/ (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))) (* (cbrt x) (cbrt x)))

prune424.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch44.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

985.0ms	2298×	body	1280	valid
496.0ms	1665×	body	640	valid
420.0ms	5463×	body	80	valid
209.0ms	818×	body	320	valid
50.0ms	422×	body	160	valid