Details

sample115.0ms

Algorithm

intervals

Results

34.0ms	67×	body	1280	valid
34.0ms	79×	body	10240	exit
20.0ms	57×	body	640	valid
7.0ms	26×	body	320	valid
7.0ms	92×	body	80	valid
2.0ms	14×	body	160	valid

simplify33.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

33.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize8.0ms

Local error

Found 2 expressions with local error:

4.5b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite22.0ms

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

Counts

2 → 63

Calls

2 calls:

Slowest

13.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series46.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

30.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify1.5s

Counts

68 → 69

Calls

68 calls:

Slowest

356.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
156.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
60.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
54.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
39.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune574.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

Slowest

33.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
10.0ms	(* 1/12 x)

series35.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

19.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
16.0ms	(* 1/12 x)

simplify908.0ms

Counts

17 → 39

Calls

17 calls:

Slowest

317.0ms	(* (exp (* 1/12 x)) (* (exp (/ 1 x)) (exp 1/2)))
283.0ms	(* (exp (* 1/12 x)) (exp (+ (/ 1 x) 1/2)))
152.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))
42.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
41.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp x) 1)
4.5b	(- (exp x) 1)
4.5b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

Slowest

16.0ms	(/ (exp x) (- (exp x) 1))
14.0ms	(- (exp x) 1)
14.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)

series82.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

35.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)
15.0ms	(- (exp x) 1)
15.0ms	(- (exp x) 1)

simplify2.5s

Counts

88 → 109

Calls

88 calls:

Slowest

412.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
285.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
213.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
204.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
81.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp x) 1)
4.5b	(- (exp x) 1)
4.4b	(- (* (exp x) (exp x)) (* 1 1))
0.5b	(/ (exp x) (- (exp x) 1))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

Slowest

20.0ms	(- (* (exp x) (exp x)) (* 1 1))
17.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)
8.0ms	(- (exp x) 1)

series105.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

37.0ms	(/ (exp x) (- (exp x) 1))
25.0ms	(- (* (exp x) (exp x)) (* 1 1))
22.0ms	(- (exp x) 1)
20.0ms	(- (exp x) 1)

simplify2.8s

Counts

84 → 106

Calls

84 calls:

Slowest

456.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
276.0ms	(+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2))))
235.0ms	(/ (exp (* (exp x) (exp x))) (exp (* 1 1)))
226.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
192.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes195.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 21.3b

bsearch49.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	2569×	body	10240	exit
1.1s	2243×	body	1280	valid
528.0ms	1701×	body	640	valid
243.0ms	2844×	body	80	valid
170.0ms	838×	body	320	valid
48.0ms	374×	body	160	valid