Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	288×	body	80	nan
12.0ms	271×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	73	14
4	96	14
5	130	14
6	193	14
7	445	14
8	1118	14
9	4485	14
done	5001	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

43.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(/ (/ 1.0 x) 9.0)
10.0ms	(* 3.0 (sqrt x))

series207.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
70.0ms	(/ y (* 3.0 (sqrt x)))
29.0ms	(/ (/ 1.0 x) 9.0)
67.0ms	(* 3.0 (sqrt x))

simplify1.3s

Counts

141 → 141

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	289	1562
1	699	1452
2	3009	1368
done	5001	1362

prune523.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

134.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ y (* 3.0 (sqrt x)))
23.0ms	(* 3.0 (sqrt x))

series201.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
67.0ms	(/ y (* 3.0 (sqrt x)))
57.0ms	(* 3.0 (sqrt x))

simplify1.0s

Counts

73 → 73

Iterations

Useful iterations: 2 (305.0ms)

Iter	Nodes	Cost
0	175	938
1	445	866
2	1753	792
done	5000	792

prune243.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

1560×	`times-frac`
739×	`add-sqr-sqrt`
735×	`add-cube-cbrt` `*-un-lft-identity`
568×	`sqrt-prod`
98×	`associate-/l*`
59×	`div-inv`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 752

Calls

4 calls:

13.0ms	(/ y (* 3.0 (sqrt x)))
60.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
17.0ms	(* 3.0 (sqrt x))
15.0ms	(/ (/ 1.0 x) (sqrt 9.0))

series350.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ y (* 3.0 (sqrt x)))
143.0ms	(/ (/ (/ 1.0 x) (sqrt 9.0)) (sqrt 9.0))
46.0ms	(* 3.0 (sqrt x))
82.0ms	(/ (/ 1.0 x) (sqrt 9.0))

simplify1.3s

Counts

764 → 764

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	910	16178
1	2101	14152
done	5001	13429

prune3.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x (sqrt 9.0)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

10.0ms	(/ y (* 3.0 (sqrt x)))
23.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
29.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x (sqrt 9.0)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ y (* 3.0 (sqrt x)))
156.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
55.0ms	(* 3.0 (sqrt x))
85.0ms	(/ 1.0 (* x (sqrt 9.0)))

simplify1.6s

Counts

148 → 148

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	262	1896
1	633	1718
2	3065	1612
done	5001	1528

prune609.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	12	12
done	12	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

792.0ms	8819×	body	80	nan
646.0ms	8572×	body	80	valid