Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	58×	body	640	valid
9.0ms	142×	body	80	valid
6.0ms	36×	body	320	valid
2.0ms	20×	body	160	valid

simplify18.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize15.0ms

Local error

Found 2 expressions with local error:

2.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (+ x 1))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
48×	`times-frac`
43×	`add-sqr-sqrt`
23×	`distribute-lft-out--`
19×	`add-cube-cbrt`
10×	`distribute-lft-out`
9×	`difference-of-squares`
6×	`add-exp-log`
5×	`div-inv`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`div-exp` `flip-+` `insert-posit16` `flip--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`

Counts

2 → 78

Calls

2 calls:

Slowest

53.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
9.0ms	(/ 1 (+ x 1))

series84.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

67.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
17.0ms	(/ 1 (+ x 1))

simplify1.7s

Counts: 84 → 84

prune542.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ -2 (+ -1 (* x x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

8.0ms

(/ -2 (+ -1 (* x x)))

series61.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

61.0ms

(/ -2 (+ -1 (* x x)))

simplify1.3s

Counts: 33 → 33

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

21.6b	(* (/ -2 (- 1 (* (* x x) (* x x)))) (- -1 (* x x)))
0.4b	(/ -2 (- 1 (* (* x x) (* x x))))
0.1b	(* (* x x) (* x x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`add-sqr-sqrt` `pow-prod-up`
31×	`times-frac`
30×	`*-un-lft-identity`
24×	`pow-prod-down`
23×	`add-cube-cbrt`
22×	`add-cbrt-cube` `associate-l` `add-exp-log` `pow-sqr`
18×	`pow-plus`
15×	`difference-of-squares`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-r*`
4×	`flip3--` `associate-/r/` `flip--`
3×	`insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-r/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `swap-sqr` `associate-*l/`

Counts

3 → 152

Calls

3 calls:

Slowest

45.0ms	(* (/ -2 (- 1 (* (* x x) (* x x)))) (- -1 (* x x)))
30.0ms	(* (* x x) (* x x))
13.0ms	(/ -2 (- 1 (* (* x x) (* x x))))

series262.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

124.0ms	(/ -2 (- 1 (* (* x x) (* x x))))
94.0ms	(* (/ -2 (- 1 (* (* x x) (* x x)))) (- -1 (* x x)))
43.0ms	(* (* x x) (* x x))

simplify915.0ms

Counts: 161 → 161

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 3 expressions with local error:

15.2b	(/ (- -1 (* x x)) (+ (* x x) -1))
0.4b	(/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x)))
0.0b	(* -2 (/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

339×	`times-frac`
236×	`add-sqr-sqrt`
141×	`*-un-lft-identity` `add-cube-cbrt`
94×	`associate-r`
86×	`difference-of-squares`
41×	`difference-of-sqr--1`
26×	`associate-/l*`
24×	`associate-/r/`
19×	`add-cbrt-cube` `add-exp-log`
12×	`div-inv`
10×	`flip3-+` `flip-+`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`flip3--` `div-sub` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 292

Calls

3 calls:

Slowest

52.0ms	(* -2 (/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x))))
34.0ms	(/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x)))
22.0ms	(/ (- -1 (* x x)) (+ (* x x) -1))

series169.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

77.0ms	(/ (- -1 (* x x)) (+ (* x x) -1))
47.0ms	(* -2 (/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x))))
44.0ms	(/ (/ (- -1 (* x x)) (+ (* x x) -1)) (- -1 (* x x)))

simplify798.0ms

Counts: 301 → 301

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes63.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 16.1b

bsearch174.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

859.0ms	4171×	body	80	valid
717.0ms	1899×	body	640	valid
303.0ms	1263×	body	320	valid
135.0ms	667×	body	160	valid