Details

sample152.0ms

Algorithm

intervals

Results

43.0ms	60×	body	640	valid
28.0ms	119×	body	80	valid
20.0ms	34×	body	1280	valid
11.0ms	28×	body	320	valid
2.0ms	15×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	199
9	199
8	170
7	102
6	84
5	73
4	60
3	41
2	31
1	18
0	10

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize126.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
3.2b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

706×	`*-un-lft-identity`
688×	`times-frac`
505×	`add-sqr-sqrt`
481×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
64×	`div-inv`
56×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
13×	`distribute-lft-out--`
10×	`fma-def` `add-log-exp`
8×	`difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `frac-add` `log1p-expm1-u` `associate-/l*`
2×	`sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `flip--`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `clear-num`

Counts

3 → 579

Calls

3 calls:

54.0ms	(/ 1.0 (+ x 1.0))
171.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
732.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series811.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1.0 (+ x 1.0))
84.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
675.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify8.2s

Counts

588 → 588

Iterations

Iter	Nodes
done	5000
2	2824
1	1091
0	453

prune7.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize82.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
3.2b	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

1125×	`*-un-lft-identity`
1086×	`times-frac`
1042×	`add-sqr-sqrt`
726×	`prod-diff`
653×	`add-cube-cbrt`
275×	`associate--r+`
167×	`distribute-lft-out--`
156×	`difference-of-squares`
81×	`div-inv`
76×	`associate-/r/`
39×	`distribute-lft-out`
31×	`fma-neg`
29×	`flip3--` `flip--`
12×	`flip3-+` `flip-+`
10×	`add-log-exp`
5×	`add-exp-log` `frac-sub` `add-cbrt-cube`
4×	`diff-log` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `sub-neg` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate--r-`

Counts

3 → 843

Calls

3 calls:

24.0ms	(/ 1.0 (+ x 1.0))
270.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
739.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

series762.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1.0 (+ x 1.0))
80.0ms	(- (/ 2.0 x) (/ 1.0 (- x 1.0)))
635.0ms	(- (/ 1.0 (+ x 1.0)) (- (/ 2.0 x) (/ 1.0 (- x 1.0))))

simplify8.9s

Counts

852 → 852

Iterations

Iter	Nodes
done	5000
1	2332
0	918

prune8.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (- x 1.0)) (* x 1.0))
0.0b	(/ (- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))) (* (+ x 1.0) (* x (- x 1.0))))
0.1b	(* (+ x 1.0) (* x (- x 1.0)))
15.3b	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

146×	`distribute-rgt-in` `distribute-lft-in`
130×	`prod-diff`
110×	`associate--l+`
93×	`*-un-lft-identity`
91×	`add-sqr-sqrt` `add-cube-cbrt`
88×	`associate-*r/`
50×	`associate--r+`
37×	`flip3--` `flip--`
32×	`frac-sub`
24×	`frac-times`
18×	`add-exp-log` `sub-neg` `flip3-+` `add-cbrt-cube` `flip-+` `associate-/l/`
12×	`associate-*l/`
9×	`pow1`
8×	`associate-/r/` `add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`fma-neg` `diff-log`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 289

Calls

4 calls:

45.0ms	(- (* 2.0 (- x 1.0)) (* x 1.0))
379.0ms	(/ (- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))) (* (+ x 1.0) (* x (- x 1.0))))
243.0ms	(* (+ x 1.0) (* x (- x 1.0)))
393.0ms	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* 2.0 (- x 1.0)) (* x 1.0))
171.0ms	(/ (- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0)))) (* (+ x 1.0) (* x (- x 1.0))))
199.0ms	(* (+ x 1.0) (* x (- x 1.0)))
4.0ms	(- (* 1.0 (* x (- x 1.0))) (* (+ x 1.0) (- (* 2.0 (- x 1.0)) (* x 1.0))))

simplify4.7s

Counts

301 → 301

Iterations

Iter	Nodes
done	5001
1	1970
0	544

prune4.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- x 1.0))
0.1b	(* (+ x 1.0) (* x (- x 1.0)))
0.4b	(/ 2.0 (* (+ x 1.0) (* x (- x 1.0))))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
48×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
10×	`pow1`
8×	`frac-times` `associate-/r/`
7×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
6×	`sub-neg` `flip3-+` `associate-r` `flip-+`
4×	`pow-prod-down` `associate-*l/`
3×	`cbrt-undiv` `expm1-log1p-u` `times-frac` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 152

Calls

3 calls:

46.0ms	(* x (- x 1.0))
143.0ms	(* (+ x 1.0) (* x (- x 1.0)))
67.0ms	(/ 2.0 (* (+ x 1.0) (* x (- x 1.0))))

series1.1s

Counts

3 → 9

Calls

3 calls:

126.0ms	(* x (- x 1.0))
785.0ms	(* (+ x 1.0) (* x (- x 1.0)))
170.0ms	(/ 2.0 (* (+ x 1.0) (* x (- x 1.0))))

simplify6.2s

Counts

161 → 161

Iterations

Iter	Nodes
done	5011
2	3494
1	872
0	257

prune982.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.9s	4097×	body	80	valid
2.8s	1866×	body	640	valid
500.0ms	572×	body	1280	valid
475.0ms	975×	body	320	valid
128.0ms	490×	body	160	valid