Details

sample21.0ms

Algorithm

intervals

Results

4.0ms	57×	body	320	valid
4.0ms	46×	body	640	valid
4.0ms	139×	body	80	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	10	9
2	12	9
done	12	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

13.0ms	(/ 1.0 (+ x 1.0))
94.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series146.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ 1.0 (+ x 1.0))
98.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.7s

Counts

64 → 64

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	120	810
1	968	750
done	5001	720

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.2b	(- x (+ x 1.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

27.0ms	(* (+ x 1.0) x)
72.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
24.0ms	(- x (+ x 1.0))

series112.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (+ x 1.0) x)
44.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

simplify6.7s

Counts

72 → 72

Iterations

Useful iterations: done (6.7s)

Iter	Nodes	Cost
0	119	903
1	2411	739
done	5000	631

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-/l/`
4×	`distribute-lft-out` `associate-/l*`
2×	`pow1` `frac-times` `flip3--` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`flip3-+` `sub0-neg` `distribute-frac-neg` `associate-*l/` `distribute-rgt-neg-out` `flip-+`

Counts

2 → 62

Calls

2 calls:

15.0ms	(/ 1.0 (+ x 1.0))
33.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) x)

series84.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1.0 (+ x 1.0))
57.0ms	(/ (* (/ 1.0 (+ x 1.0)) (- 0 1.0)) x)

simplify1.2m

Counts

68 → 68

Iterations

Useful iterations: done (1.2m)

Iter	Nodes	Cost
0	139	868
done	5000	754

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 1.0))
0.3b	(/ (* 1.0 (- (pow 0 3) (pow 1.0 3))) (* (* x (+ x 1.0)) (* 1.0 1.0)))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

441.0ms	(* x (+ x 1.0))
142.0ms	(/ (* 1.0 (- (pow 0 3) (pow 1.0 3))) (* (* x (+ x 1.0)) (* 1.0 1.0)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (+ x 1.0))
67.0ms	(/ (* 1.0 (- (pow 0 3) (pow 1.0 3))) (* (* x (+ x 1.0)) (* 1.0 1.0)))

simplify3.8s

Counts

66 → 66

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	137	1468
1	2893	1216
done	5000	894

prune185.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	15	10
2	22	10
3	23	10
done	23	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

328.0ms	1891×	body	640	valid
290.0ms	1307×	body	320	valid
203.0ms	4154×	body	80	valid
48.0ms	650×	body	160	valid