Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	34×	body	1280	valid
17.0ms	60×	body	640	valid
9.0ms	119×	body	80	valid
6.0ms	28×	body	320	valid
2.0ms	15×	body	160	valid

simplify503.0ms

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

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize41.0ms

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)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-sqr-sqrt`
13×	`distribute-lft-out`
12×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `frac-add` `associate-/l*`
2×	`sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `frac-sub` `flip--` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 77

Calls

3 calls:

32.0ms	(/ 1.0 (+ x 1.0))
260.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
927.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series1.2s

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ 1.0 (+ x 1.0))
225.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
897.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify5.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
2	1312
1	420
0	166

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize121.0ms

Local error

Found 4 expressions with local error:

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

rewrite652.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

60.0ms	(* (+ x 1.0) x)
246.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
175.0ms	(* (* (+ x 1.0) x) (- x 1.0))
82.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (+ x 1.0) x)
657.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
457.0ms	(* (* (+ x 1.0) x) (- x 1.0))
8.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify6.7s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
1	1046
0	283

prune3.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

54.0ms	(* (+ x 1.0) x)
101.0ms	(* (* (+ x 1.0) x) (- x 1.0))
193.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series1.7s

Counts

3 → 9

Calls

3 calls:

371.0ms	(* (+ x 1.0) x)
581.0ms	(* (* (+ x 1.0) x) (- x 1.0))
787.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify8.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1652
1	444
0	154

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
0.5b	(/ 1 (* (+ x 1.0) x))

rewrite781.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 115

Calls

3 calls:

51.0ms	(* (+ x 1.0) x)
594.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
32.0ms	(/ 1 (* (+ x 1.0) x))

series792.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(* (+ x 1.0) x)
353.0ms	(* (/ 1 (* (+ x 1.0) x)) (/ 2.0 (- x 1.0)))
337.0ms	(/ 1 (* (+ x 1.0) x))

simplify5.5s

Counts

124 → 124

Iterations

Iter	Nodes
done	5031
2	2283
1	608
0	209

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample13.4s

Algorithm

intervals

Results

5.4s	4097×	body	80	valid
3.3s	975×	body	320	valid
2.3s	572×	body	1280	valid
1.9s	1866×	body	640	valid
145.0ms	490×	body	160	valid