Details

sample79.0ms

Algorithm

intervals

Results

22.0ms	273×	body	80	valid
20.0ms	281×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

134.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
72.0ms	(/ y (* 3.0 (sqrt x)))
47.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	215	1191
1	530	1096
2	2293	1010
done	5000	1004

prune420.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

272.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms	(/ y (* 3.0 (sqrt x)))
24.0ms	(/ (/ 1.0 x) 9.0)
13.0ms	(* 3.0 (sqrt x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
102.0ms	(/ y (* 3.0 (sqrt x)))
28.0ms	(/ (/ 1.0 x) 9.0)
56.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

146 → 146

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	314	1868
1	780	1729
2	3366	1643
done	5001	1633

prune800.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

21.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
157.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
69.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
86.0ms	(/ (/ y 3.0) (sqrt x))
40.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

184 → 184

Iterations

Useful iterations: 2 (655.0ms)

Iter	Nodes	Cost
0	336	2819
1	810	2578
2	3485	2500
done	5000	2500

prune785.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.2b	(/ 1 (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

82.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
15.0ms	(/ 1 (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series214.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
40.0ms	(/ 1 (* 3.0 (sqrt x)))
62.0ms	(* 3.0 (sqrt x))
34.0ms	(/ 1.0 (* x 9.0))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: 2 (445.0ms)

Iter	Nodes	Cost
0	208	1078
1	533	947
2	2499	793
done	5002	793

prune512.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

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	12	14
1	13	14
done	13	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8541×	body	80	valid
620.0ms	8596×	body	80	nan