Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	66×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

10.0ms	(/ 1.0 (- x 1.0))
10.0ms	(/ 1.0 (+ x 1.0))
72.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ x 1.0))
170.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1402
1	388	1325
2	941	1259
3	2141	1255
done	5001	1249

prune178.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
0.3b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 85

Calls

2 calls:

105.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
15.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
48.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify919.0ms

Counts

91 → 91

Iterations

Useful iterations: done (916.0ms)

Iter	Nodes	Cost
0	173	1684
1	440	1536
2	1490	1354
done	5000	1280

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
0.1b	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 111

Calls

2 calls:

26.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
30.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
74.0ms	(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

simplify804.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (347.0ms)

Iter	Nodes	Cost
0	209	2482
1	585	2359
2	2091	2102
done	5002	2102

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
0.2b	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

4.0ms	(cbrt (+ 1.0 x))
4.0ms	(cbrt (+ 1.0 x))
4.0ms	(cbrt (+ 1.0 x))
38.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (+ 1.0 x))
89.0ms	(cbrt (+ 1.0 x))
88.0ms	(cbrt (+ 1.0 x))
103.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	139	1485
1	308	1358
2	768	1288
3	1889	1148
done	5001	1116

prune381.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 3 (4.0ms)

Iter	Nodes	Cost
0	19	32
1	27	29
2	35	29
3	41	27
4	44	27
5	48	27
6	49	27
done	49	27

end0.0ms

sample463.0ms

Algorithm

intervals

Results

146.0ms	1862×	body	640	valid
95.0ms	4267×	body	80	valid
74.0ms	1225×	body	320	valid
26.0ms	646×	body	160	valid