Details

sample88.0ms

Algorithm

intervals

Results

31.0ms	59×	body	640	valid
18.0ms	136×	body	80	valid
15.0ms	37×	body	320	valid
7.0ms	11×	body	1280	valid
3.0ms	13×	body	160	valid

simplify268.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize21.0ms

Local error

Found 4 expressions with local error:

2.1b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

Slowest

146.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
30.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
14.0ms	(/ 1 (+ x 1))
8.0ms	(/ 1 (- x 1))

series194.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
40.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
24.0ms	(/ 1 (- x 1))
23.0ms	(/ 1 (+ x 1))

simplify732.0ms

Counts: 199 → 153

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

15.6b	(+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x))
0.0b	(* (* (+ x 1) x) (+ x -1))
0.0b	(/ (+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x)) (* (* (+ x 1) x) (+ x -1)))
0.0b	(+ (* (+ x 1) -2) x)

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

56×	`associate-*l/`
55×	`flip3-+` `flip-+`
32×	`frac-add`
24×	`frac-times`
18×	`add-cbrt-cube` `add-exp-log` `associate-/l/`
12×	`associate-*r/`
9×	`pow1` `*-un-lft-identity`
8×	`add-sqr-sqrt` `associate-/r/` `add-log-exp`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`insert-posit16`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in`
1×	`difference-of-sqr--1` `clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

Slowest

125.0ms	(/ (+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x)) (* (* (+ x 1) x) (+ x -1)))
43.0ms	(+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x))
41.0ms	(* (* (+ x 1) x) (+ x -1))
9.0ms	(+ (* (+ x 1) -2) x)

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(* (* (+ x 1) x) (+ x -1))
65.0ms	(/ (+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x)) (* (* (+ x 1) x) (+ x -1)))
22.0ms	(+ (* (+ x 1) -2) x)
2.0ms	(+ (* (+ (* (+ x 1) -2) x) (+ x -1)) (* (+ x 1) x))

simplify527.0ms

Counts: 162 → 135

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 2 (* (* (+ x 1) x) (+ x -1)))
0.0b	(* (* (+ x 1) x) (+ x -1))
0.0b	(* (+ x 1) x)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
13×	`flip3-+` `flip-+`
12×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`frac-times` `associate-r` `associate-/r/` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`pow-prod-down` `associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`*-commutative` `distribute-lft-out`
1×	`distribute-rgt-in` `difference-of-sqr--1` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `div-inv` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

Slowest

37.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))
32.0ms	(* (* (+ x 1) x) (+ x -1))
25.0ms	(* (+ x 1) x)

series206.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(* (* (+ x 1) x) (+ x -1))
74.0ms	(/ 2 (* (* (+ x 1) x) (+ x -1)))
43.0ms	(* (+ x 1) x)

simplify579.0ms

Counts: 103 → 94

prune618.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/` `associate-/r/`
12×	`associate-/l*`
11×	`distribute-lft-out`
10×	`difference-of-sqr--1`
9×	`flip3-+` `flip-+`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-l`
3×	`associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 125

Calls

3 calls:

Slowest

27.0ms	(/ (/ 2 (* (+ x 1) x)) (+ x -1))
23.0ms	(/ 2 (* (+ x 1) x))
14.0ms	(* (+ x 1) x)

series212.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

106.0ms	(/ (/ 2 (* (+ x 1) x)) (+ x -1))
77.0ms	(* (+ x 1) x)
29.0ms	(/ 2 (* (+ x 1) x))

simplify686.0ms

Counts: 184 → 134

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1867×	body	640	valid
566.0ms	4161×	body	80	valid
335.0ms	957×	body	320	valid
321.0ms	579×	body	1280	valid
114.0ms	438×	body	160	valid