Details

sample77.0ms

Algorithm

intervals

Results

25.0ms	67×	body	640	valid
13.0ms	135×	body	80	valid
8.0ms	31×	body	320	valid
6.0ms	12×	body	1280	valid
2.0ms	11×	body	160	valid

simplify502.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	198
9	198
8	170
7	103
6	83
5	72
4	60
3	41
2	31
1	18
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize92.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (- x 1.0))
2.6b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 118

Calls

4 calls:

22.0ms	(/ 1.0 (+ x 1.0))
166.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
43.0ms	(/ 1.0 (- x 1.0))
833.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1.0 (+ x 1.0))
59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
37.0ms	(/ 1.0 (- x 1.0))
365.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify3.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1583
1	518
0	216

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize171.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
16.0b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

301.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
15.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
153.0ms	(* (* (+ x 1.0) x) (- x 1.0))
131.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series364.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
71.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
144.0ms	(* (* (+ x 1.0) x) (- x 1.0))
4.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify3.1s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
1	1015
0	283

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 3 expressions with local error:

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
8×	`frac-times` `associate-r` `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`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

50.0ms	(* (+ x 1.0) x)
122.0ms	(* (* (+ x 1.0) x) (- x 1.0))
114.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series368.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* (+ x 1.0) x)
146.0ms	(* (* (+ x 1.0) x) (- x 1.0))
144.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify4.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1684
1	448
0	157

prune858.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ 2.0 (- x 1.0))
0.1b	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.9b	(/ 1 (* (+ x 1.0) x))

rewrite498.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
37×	`times-frac`
34×	`add-cbrt-cube`
29×	`add-cube-cbrt`
24×	`associate-r` `prod-exp`
20×	`div-exp`
13×	`associate-l`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
6×	`rec-exp` `associate-/r` `1-exp` `associate-/l`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `flip-+` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `pow-flip` `flip--`
1×	`frac-times` `associate-*r/` `distribute-lft-out` `inv-pow`

Counts

4 → 156

Calls

4 calls:

57.0ms	(* (+ x 1.0) x)
43.0ms	(/ 2.0 (- x 1.0))
296.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
78.0ms	(/ 1 (* (+ x 1.0) x))

series361.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ x 1.0) x)
60.0ms	(/ 2.0 (- x 1.0))
169.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
66.0ms	(/ 1 (* (+ x 1.0) x))

simplify5.3s

Counts

168 → 168

Iterations

Iter	Nodes
done	5004
2	2475
1	672
0	241

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

688.0ms	1908×	body	640	valid
376.0ms	4086×	body	80	valid
225.0ms	972×	body	320	valid
197.0ms	594×	body	1280	valid
57.0ms	441×	body	160	valid