Details

sample80.0ms

Algorithm

intervals

Results

33.0ms	278×	body	80	valid
20.0ms	273×	body	80	nan

simplify195.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	71	14
4	83	14
5	90	14
6	105	14
7	125	14
8	136	14
done	136	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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))

rewrite184.0ms

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:

137.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))
24.0ms	(* 3.0 (sqrt x))

series271.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
100.0ms	(/ y (* 3.0 (sqrt x)))
34.0ms	(/ 1.0 (* x 9.0))
73.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	215	1191
1	511	1096
2	1560	1004
done	5000	981

prune285.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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

rewrite220.0ms

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:

12.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
164.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
13.0ms	(/ 1.0 (* x 9.0))
15.0ms	(/ (/ y 3.0) (sqrt x))

series228.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
63.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
29.0ms	(/ 1.0 (* x 9.0))
86.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.2s

Counts

184 → 184

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	336	2819
1	765	2578
2	2015	2500
done	5000	2483

prune593.0ms

Pruning

9 alts after pruning (9 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))
0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
148×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
123×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`difference-of-squares`
6×	`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` `associate-/l/`
1×	`associate--l-`

Counts

4 → 223

Calls

4 calls:

22.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
286.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
14.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(/ (/ y 3.0) (sqrt x))

series175.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
55.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
19.0ms	(/ (/ 1.0 x) 9.0)
62.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.3s

Counts

235 → 235

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	436	3538
1	993	3253
2	2426	3171
done	5000	3154

prune815.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

638×	`times-frac`
388×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
323×	`add-cube-cbrt`
144×	`sqrt-prod`
136×	`associate-r`
135×	`cbrt-prod`
94×	`add-exp-log`
41×	`add-cbrt-cube`
40×	`div-exp`
38×	`associate-/l*`
30×	`prod-exp`
22×	`cbrt-undiv` `div-inv`
21×	`unswap-sqr`
15×	`associate-/r*`
12×	`cbrt-unprod`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 490

Calls

4 calls:

12.0ms	(/ (/ 1.0 x) 9.0)
110.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
24.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
10.0ms	(/ y (cbrt 3.0))

series530.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (/ 1.0 x) 9.0)
205.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
209.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
87.0ms	(/ y (cbrt 3.0))

simplify1.0s

Counts

502 → 502

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	678	8820
1	1864	7944
done	5000	7392

prune2.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	34
1	25	34
done	25	34

end0.0ms

sample1.8s

Algorithm

intervals

Results

864.0ms	8551×	body	80	valid
502.0ms	8359×	body	80	nan