Details

sample74.0ms

Algorithm

intervals

Results

21.0ms	272×	body	80	nan
20.0ms	263×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4385
8	1130
7	455
6	200
5	134
4	98
3	73
2	47
1	24
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
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×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `frac-sub` `div-inv` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

109.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms	(/ 1.0 (* x 9.0))
14.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(* 3.0 (sqrt x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
19.0ms	(/ 1.0 (* x 9.0))
91.0ms	(/ y (* 3.0 (sqrt x)))
53.0ms	(* 3.0 (sqrt x))

simplify842.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2258
1	530
0	215

prune541.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log` `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×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `prod-exp` `associate--l+` `frac-sub` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `difference-of-squares` `associate-/l/`

Counts

4 → 134

Calls

4 calls:

255.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ (/ 1.0 x) 9.0)
7.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(* 3.0 (sqrt x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
20.0ms	(/ (/ 1.0 x) 9.0)
86.0ms	(/ y (* 3.0 (sqrt x)))
51.0ms	(* 3.0 (sqrt x))

simplify1.4s

Counts

146 → 146

Iterations

Iter	Nodes
done	5002
2	3347
1	781
0	314

prune704.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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))

rewrite371.0ms

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-cbrt-cube` `add-exp-log` `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×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-`

Counts

3 → 207

Calls

3 calls:

336.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(/ (/ y 3.0) (sqrt x))

series194.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
21.0ms	(/ (/ 1.0 x) 9.0)
93.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts

216 → 216

Iterations

Iter	Nodes
done	5000
2	4168
1	1030
0	425

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

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

rewrite315.0ms

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--` `cbrt-unprod` `flip--`
3×	`frac-times` `diff-log` `associate-l/` `associate-r/`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `1-exp` `associate--l+`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

260.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
8.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(/ y (sqrt x))
25.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
19.0ms	(/ (/ 1.0 x) 9.0)
72.0ms	(/ y (sqrt x))
113.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify523.0ms

Counts

211 → 211

Iterations

Iter	Nodes
done	5000
1	1082
0	393

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8453×	body	80	valid
547.0ms	8252×	body	80	nan