Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	76×	body	640	valid
7.0ms	122×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	19×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

643×	`*-un-lft-identity`
574×	`times-frac`
477×	`add-sqr-sqrt`
378×	`prod-diff`
357×	`add-cube-cbrt`
84×	`associate-/r/`
76×	`distribute-lft-out`
75×	`distribute-lft-out--`
58×	`difference-of-squares`
43×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
20×	`flip--`
19×	`flip3--`
18×	`fma-neg`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub`

Counts

2 → 465

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
236.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series412.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1.0 (+ x 1.0))
362.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify4.2s

Counts

471 → 471

Iterations

Iter	Nodes
done	5005
2	3032
1	1195
0	506

prune2.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite256.0ms

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-r/` `associate-l/` `flip--`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `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×	`frac-2neg` `fma-neg` `diff-log` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 133

Calls

3 calls:

81.0ms	(* (+ x 1.0) (- x 1.0))
114.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
47.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

series272.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(* (+ x 1.0) (- x 1.0))
129.0ms	(/ (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)))
11.0ms	(- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0))

simplify4.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5006
2	3371
1	848
0	245

prune991.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (- x 1.0))
0.5b	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

rewrite136.0ms

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

Counts

2 → 100

Calls

2 calls:

86.0ms	(* (+ x 1.0) (- x 1.0))
42.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

series281.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(* (+ x 1.0) (- x 1.0))
129.0ms	(/ (- 2.0) (* (+ x 1.0) (- x 1.0)))

simplify3.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5007
2	1817
1	610
0	206

prune633.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite155.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 374

Calls

2 calls:

23.0ms	(/ (- 2.0) (+ x 1.0))
82.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

series186.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- 2.0) (+ x 1.0))
138.0ms	(/ (/ (- 2.0) (+ x 1.0)) (- x 1.0))

simplify4.7s

Counts

380 → 380

Iterations

Iter	Nodes
done	5000
2	3018
1	1125
0	445

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

539.0ms	1912×	body	640	valid
341.0ms	1277×	body	320	valid
334.0ms	4146×	body	80	valid
74.0ms	665×	body	160	valid