Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	60×	body	640	valid
10.0ms	145×	body	80	valid
6.0ms	19×	body	1280	valid
4.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.9s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize14.0ms

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))
2.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

11.0ms	(/ 1.0 (- x 1.0))
98.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
351.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series407.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1.0 (- x 1.0))
62.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
299.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify693.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1604
1	434
0	178

prune685.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0)))
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (- x 1.0) (+ x 1.0)) x)
14.1b	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0))) (* (* 1.0 x) (+ x 1.0)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

45.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0)))
6.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
48.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
38.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0))) (* (* 1.0 x) (+ x 1.0)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0)))
46.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
164.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
3.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ x 1.0) 2.0))) (* (* 1.0 x) (+ x 1.0)))

simplify439.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
1	833
0	229

prune603.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

48.0ms	(* (- x 1.0) (+ x 1.0))
57.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
69.0ms	(/ 2.0 (* (* (- x 1.0) (+ x 1.0)) x))

series342.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (- x 1.0) (+ x 1.0))
142.0ms	(* (* (- x 1.0) (+ x 1.0)) x)
93.0ms	(/ 2.0 (* (* (- x 1.0) (+ x 1.0)) x))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	3433
1	487
0	159

prune389.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

1050×	`times-frac`
740×	`*-un-lft-identity`
584×	`add-sqr-sqrt`
402×	`add-cube-cbrt`
114×	`associate-/l*`
91×	`distribute-lft-out--` `difference-of-squares`
78×	`distribute-lft-out`
62×	`associate-/r/`
32×	`div-inv`
26×	`flip3-+` `flip-+`
16×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
5×	`flip3--` `flip--`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`

Counts

2 → 534

Calls

2 calls:

51.0ms	(/ (/ (/ 2.0 (+ 1.0 x)) (- x 1.0)) x)
49.0ms	(/ (/ 2.0 (+ 1.0 x)) (- x 1.0))

series220.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(/ (/ (/ 2.0 (+ 1.0 x)) (- x 1.0)) x)
88.0ms	(/ (/ 2.0 (+ 1.0 x)) (- x 1.0))

simplify1.1s

Counts

540 → 540

Iterations

Iter	Nodes
done	5000
1	1761
0	716

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes66.0ms

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	9
1	9
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

680.0ms	554×	body	1280	valid
488.0ms	1922×	body	640	valid
330.0ms	4099×	body	80	valid
275.0ms	961×	body	320	valid
52.0ms	466×	body	160	valid