Details

sample65.0ms

Algorithm

intervals

Results

18.0ms	273×	body	80	valid
16.0ms	275×	body	80	nan

simplify150.0ms

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: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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:

101.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(* 3.0 (sqrt x))
9.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
40.0ms	(* 3.0 (sqrt x))
63.0ms	(/ y (* 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	511	1096
2	1556	1004
done	5001	981

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite337.0ms

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:

278.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
15.0ms	(* 3.0 (sqrt x))
15.0ms	(/ y (* 3.0 (sqrt x)))
23.0ms	(/ (/ 1.0 x) 9.0)

series185.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
46.0ms	(* 3.0 (sqrt x))
68.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(/ (/ 1.0 x) 9.0)

simplify1.3s

Counts

146 → 146

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	314	1868
1	735	1729
2	1952	1633
done	5001	1610

prune384.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b	(/ y (sqrt x))
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
108×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
81×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
16×	`associate-/l*`
13×	`associate-l`
12×	`div-exp`
9×	`associate-/r*` `add-log-exp` `unswap-sqr`
8×	`cbrt-undiv` `prod-exp` `div-inv`
6×	`pow1` `frac-sub`
4×	`flip3--` `flip--` `cbrt-unprod`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

298.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms	(/ y (sqrt x))
17.0ms	(/ (/ 1.0 x) 9.0)
55.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
72.0ms	(/ y (sqrt x))
27.0ms	(/ (/ 1.0 x) 9.0)
79.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify1.5s

Counts

211 → 211

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	393	2966
1	957	2584
2	2771	2414
done	5002	2403

prune697.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
138×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
122×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
5×	`difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-`

Counts

3 → 207

Calls

3 calls:

264.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
17.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(/ (/ y 3.0) (sqrt x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
37.0ms	(/ (/ 1.0 x) 9.0)
89.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.4s

Counts

216 → 216

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	425	3293
1	972	3029
2	2384	2953
done	5000	2936

prune609.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	17	16
done	17	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

879.0ms	8519×	body	80	valid
539.0ms	8505×	body	80	nan