Details

sample83.0ms

Algorithm

intervals

Results

27.0ms	60×	body	640	valid
26.0ms	141×	body	80	valid
9.0ms	17×	body	1280	valid
8.0ms	25×	body	320	valid
3.0ms	13×	body	160	valid

simplify588.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize31.0ms

Local error

Found 3 expressions with local error:

1.7b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (+ x 1))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
35×	`times-frac`
29×	`add-sqr-sqrt`
17×	`distribute-lft-out`
14×	`distribute-lft-out--`
12×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`add-exp-log` `div-inv`
6×	`difference-of-squares`
5×	`add-cbrt-cube`
4×	`pow1` `associate-/r*`
3×	`frac-add` `insert-posit16` `associate-/l*`
2×	`associate-+l+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `div-exp` `associate-/r/` `frac-sub` `flip-+` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-+l-` `pow-flip` `inv-pow`

Counts

3 → 91

Calls

3 calls:

Slowest

146.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
58.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
10.0ms	(/ 1 (+ x 1))

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
25.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
15.0ms	(/ 1 (+ x 1))

simplify1.4s

Counts: 100 → 100

prune881.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

15.8b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
0.0b	(* (+ x 1) x)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

Slowest

107.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
32.0ms	(* (* (+ x 1) x) (- x 1))
28.0ms	(* (+ x 1) x)
27.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(* (* (+ x 1) x) (- x 1))
75.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
64.0ms	(* (+ x 1) x)
3.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify2.0s

Counts: 151 → 151

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ 2 (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
0.0b	(* (+ x 1) x)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

Slowest

39.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
37.0ms	(* (* (+ x 1) x) (- x 1))
25.0ms	(* (+ x 1) x)

series271.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

131.0ms	(* (* (+ x 1) x) (- x 1))
74.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
65.0ms	(* (+ x 1) x)

simplify2.9s

Counts: 98 → 98

prune762.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ 2 (* (+ x 1) x))
0.0b	(/ (/ 2 (* (+ x 1) x)) (- x 1))
0.0b	(* (+ x 1) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

Slowest

41.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
17.0ms	(/ 2 (* (+ x 1) x))
16.0ms	(* (+ x 1) x)

series188.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

99.0ms	(/ (/ 2 (* (+ x 1) x)) (- x 1))
67.0ms	(* (+ x 1) x)
22.0ms	(/ 2 (* (+ x 1) x))

simplify732.0ms

Counts: 154 → 154

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

867.0ms	1920×	body	640	valid
718.0ms	538×	body	1280	valid
546.0ms	4119×	body	80	valid
326.0ms	922×	body	320	valid
99.0ms	502×	body	160	valid