Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	71×	body	640	valid
6.0ms	125×	body	80	valid
6.0ms	40×	body	320	valid
2.0ms	20×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

16.0ms	(/ 1.0 (+ x 1.0))
14.0ms	(/ 1.0 (- x 1.0))
116.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1.0 (+ x 1.0))
30.0ms	(/ 1.0 (- x 1.0))
267.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts

513 → 513

Iterations

Iter	Nodes
done	5000
2	4303
1	1253
0	525

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
0.0b	(* (+ x 1.0) (- x 1.0))
2.2b	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

37×	`prod-diff`
35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
12×	`flip3--` `associate-l/` `associate-r/` `flip--`
10×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`frac-times` `associate-/r/` `frac-sub`
6×	`associate-/l/`
5×	`pow1` `sub-neg` `associate-r` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `fma-neg` `diff-log` `div-sub` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 133

Calls

3 calls:

50.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
43.0ms	(* (+ x 1.0) (- x 1.0))
19.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

series232.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
105.0ms	(* (+ x 1.0) (- x 1.0))
9.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

simplify929.0ms

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
1	851
0	245

prune846.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.3b	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/r/`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip3--` `flip-+` `flip--`
5×	`associate-r`
4×	`pow1` `associate-l` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `cbrt-undiv` `neg-mul-1` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 100

Calls

2 calls:

49.0ms	(* (+ x 1.0) (- x 1.0))
16.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (+ x 1.0) (- x 1.0))
100.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

simplify1.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	3851
1	612
0	206

prune464.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0) (+ x 1.0))
0.1b	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

510×	`times-frac`
449×	`*-un-lft-identity`
307×	`add-sqr-sqrt`
213×	`add-cube-cbrt`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
71×	`distribute-lft-out`
56×	`associate-/l*`
47×	`distribute-lft-out--` `difference-of-squares`
29×	`neg-mul-1`
16×	`associate-/r/`
9×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 374

Calls

2 calls:

11.0ms	(/ (- 2.0) (+ x 1.0))
47.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- 2.0) (+ x 1.0))
99.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify1.0s

Counts

380 → 380

Iterations

Iter	Nodes
done	5000
1	1213
0	445

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

356.0ms	1853×	body	640	valid
247.0ms	1251×	body	320	valid
236.0ms	4287×	body	80	valid
129.0ms	609×	body	160	valid