Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	66×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	36×	body	320	valid
1.0ms	19×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite64.0ms

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:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
49.0ms	(- (/ 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))
169.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify818.0ms

Counts

111 → 111

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	175	1402
1	388	1325
2	1079	1257
done	5000	1255

prune191.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.9b	(- (- x 1.0) (+ x 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

7.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
23.0ms	(- (- x 1.0) (+ x 1.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify528.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	151	1007
1	384	956
2	1520	886
done	5000	886

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

22.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
47.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify524.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	158	1309
1	438	1262
2	1505	1134
done	5000	1134

prune166.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
78×	`times-frac`
68×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
45×	`sqrt-prod`
30×	`associate-l`
28×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`associate-/l*`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-/r*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
3×	`pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `distribute-rgt-neg-out` `flip-+`
1×	`frac-times` `flip3--` `associate-r/` `associate-r` `-commutative` `flip--`

Counts

3 → 160

Calls

3 calls:

6.0ms	(/ (sqrt 1.0) (- x 1.0))
6.0ms	(/ (sqrt 1.0) (+ x 1.0))
40.0ms	(* (/ (sqrt 1.0) (+ x 1.0)) (* (/ (sqrt 1.0) (- x 1.0)) (- 2.0)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (sqrt 1.0) (- x 1.0))
51.0ms	(/ (sqrt 1.0) (+ x 1.0))
166.0ms	(* (/ (sqrt 1.0) (+ x 1.0)) (* (/ (sqrt 1.0) (- x 1.0)) (- 2.0)))

simplify694.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	235	2692
1	613	2490
2	2362	2106
done	5000	2106

prune487.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	16	16
2	23	16
3	29	16
4	30	16
done	30	16

end0.0ms

sample456.0ms

Algorithm

intervals

Results

168.0ms	1907×	body	640	valid
99.0ms	4229×	body	80	valid
79.0ms	1267×	body	320	valid
25.0ms	597×	body	160	valid