Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	61×	body	640	valid
11.0ms	134×	body	80	valid
7.0ms	33×	body	320	valid
6.0ms	16×	body	1280	valid
2.0ms	12×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4810
9	1188
8	437
7	210
6	162
5	135
4	89
3	41
2	31
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite304.0ms

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/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+r-`

Counts

4 → 114

Calls

4 calls:

17.0ms	(/ 1.0 (- x 1.0))
17.0ms	(/ 1.0 (+ x 1.0))
71.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
191.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1.0 (- x 1.0))
30.0ms	(/ 1.0 (+ x 1.0))
56.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
327.0ms	(+ (/ 1.0 (- x 1.0)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))

simplify1.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	2093
1	537
0	211

prune531.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 1.0 x) (+ x 1.0))
0.1b	(* (- x 1.0) (* (+ x 1.0) x))
0.2b	(- (* x 1.0) (* 2.0 (+ x 1.0)))
15.5b	(+ (* (- x 1.0) (- (* x 1.0) (* 2.0 (+ x 1.0)))) (* (* 1.0 x) (+ x 1.0)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

26.0ms	(* (* 1.0 x) (+ x 1.0))
41.0ms	(* (- x 1.0) (* (+ x 1.0) x))
6.0ms	(- (* x 1.0) (* 2.0 (+ x 1.0)))
39.0ms	(+ (* (- x 1.0) (- (* x 1.0) (* 2.0 (+ x 1.0)))) (* (* 1.0 x) (+ x 1.0)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* 1.0 x) (+ x 1.0))
153.0ms	(* (- x 1.0) (* (+ x 1.0) x))
58.0ms	(- (* x 1.0) (* 2.0 (+ x 1.0)))
3.0ms	(+ (* (- x 1.0) (- (* x 1.0) (* 2.0 (+ x 1.0)))) (* (* 1.0 x) (+ x 1.0)))

simplify467.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
1	829
0	233

prune595.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (- x 1.0) (* (+ x 1.0) x))
0.2b	(/ 2.0 (* (- x 1.0) (* (+ x 1.0) x)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

17.0ms	(* (+ x 1.0) x)
45.0ms	(* (- x 1.0) (* (+ x 1.0) x))
26.0ms	(/ 2.0 (* (- x 1.0) (* (+ x 1.0) x)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (+ x 1.0) x)
161.0ms	(* (- x 1.0) (* (+ x 1.0) x))
156.0ms	(/ 2.0 (* (- x 1.0) (* (+ x 1.0) x)))

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2489
1	407
0	147

prune417.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

9.0ms	(/ 2.0 (- x 1.0))
24.0ms	(* (+ x 1.0) x)
36.0ms	(/ (/ 2.0 (- x 1.0)) (* (+ x 1.0) x))

series231.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 2.0 (- x 1.0))
68.0ms	(* (+ x 1.0) x)
122.0ms	(/ (/ 2.0 (- x 1.0)) (* (+ x 1.0) x))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2760
1	533
0	209

prune573.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

897.0ms	1849×	body	640	valid
308.0ms	979×	body	320	valid
282.0ms	4139×	body	80	valid
218.0ms	594×	body	1280	valid
48.0ms	441×	body	160	valid