Details

sample60.0ms

Algorithm

intervals

Results

19.0ms	63×	body	640	valid
10.0ms	130×	body	80	valid
7.0ms	19×	body	1280	valid
7.0ms	32×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
48×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
20×	`distribute-lft-out--`
11×	`add-log-exp`
10×	`difference-of-squares`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`associate-/l*`
5×	`frac-sub`
4×	`pow1` `flip3--` `diff-log` `associate-/r/` `flip--`
3×	`sub-neg`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`
1×	`flip3-+` `flip-+` `associate--r-`

Counts

4 → 117

Calls

4 calls:

14.0ms	(/ 1.0 (- x 1.0))
54.0ms	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
19.0ms	(/ 1.0 (+ x 1.0))
229.0ms	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1.0 (- x 1.0))
77.0ms	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
47.0ms	(/ 1.0 (+ x 1.0))
343.0ms	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

simplify1.4s

Counts

129 → 129

Iterations

Useful iterations: 2 (454.0ms)

Iter	Nodes	Cost
0	218	1924
1	547	1798
2	2166	1714
done	5000	1714

prune460.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))
0.0b	(- (* 2.0 (+ x 1.0)) (* x 1.0))
0.0b	(* (- x 1.0) (* x (+ x 1.0)))
16.3b	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*r/`
23×	`flip3--` `flip--`
21×	`distribute-rgt-in` `distribute-lft-in`
16×	`frac-times` `frac-sub`
14×	`associate--l+`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-l`
8×	`associate-*l/` `associate--r+` `add-log-exp`
7×	`add-cube-cbrt`
6×	`sub-neg`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`unswap-sqr`

Counts

4 → 122

Calls

4 calls:

99.0ms	(* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))
30.0ms	(- (* 2.0 (+ x 1.0)) (* x 1.0))
68.0ms	(* (- x 1.0) (* x (+ x 1.0)))
152.0ms	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))
54.0ms	(- (* 2.0 (+ x 1.0)) (* x 1.0))
151.0ms	(* (- x 1.0) (* x (+ x 1.0)))
2.0ms	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

simplify541.0ms

Counts

134 → 134

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	253	3607
1	889	3411
done	5000	3263

prune603.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x 1.0))
0.0b	(* (- x 1.0) (* x (+ x 1.0)))
0.2b	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
8×	`frac-times` `add-cube-cbrt` `associate-l` `associate-/r/`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow-prod-down` `associate-*l/`
3×	`cbrt-undiv` `times-frac` `div-exp` `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 → 86

Calls

3 calls:

41.0ms	(* x (+ x 1.0))
76.0ms	(* (- x 1.0) (* x (+ x 1.0)))
59.0ms	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

series366.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* x (+ x 1.0))
173.0ms	(* (- x 1.0) (* x (+ x 1.0)))
125.0ms	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

simplify1.6s

Counts

95 → 95

Iterations

Useful iterations: 2 (486.0ms)

Iter	Nodes	Cost
0	153	1286
1	455	1252
2	2761	1092
done	5000	1092

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 124

Calls

3 calls:

26.0ms	(/ 2.0 (- x 1.0))
23.0ms	(* x (+ x 1.0))
61.0ms	(/ (/ 2.0 (- x 1.0)) (* x (+ x 1.0)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 2.0 (- x 1.0))
51.0ms	(* x (+ x 1.0))
119.0ms	(/ (/ 2.0 (- x 1.0)) (* x (+ x 1.0)))

simplify1.7s

Counts

133 → 133

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	1751
1	565	1677
2	2753	1523
done	5000	1515

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	13
1	13	11
2	14	11
done	14	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

589.0ms	972×	body	320	valid
486.0ms	1824×	body	640	valid
347.0ms	4149×	body	80	valid
265.0ms	592×	body	1280	valid
102.0ms	465×	body	160	valid