Details

sample61.0ms

Algorithm

intervals

Results

20.0ms	358×	body	80	nan
12.0ms	273×	body	80	valid

simplify24.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

21.0ms	(+ y (/ 1.0 (* x 9.0)))
249.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(* 3.0 (sqrt x))
14.0ms	(/ 1.0 (* x 9.0))

series208.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
103.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
55.0ms	(* 3.0 (sqrt x))
22.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

131 → 131

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune297.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
75×	`times-frac`
71×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 168

Calls

4 calls:

32.0ms	(+ y (/ (/ 1.0 x) 9.0))
600.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
26.0ms	(/ (/ 1.0 x) 9.0)
10.0ms	(* 3.0 (sqrt x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ y (/ (/ 1.0 x) 9.0))
104.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
22.0ms	(/ (/ 1.0 x) 9.0)
43.0ms	(* 3.0 (sqrt x))

simplify1.9s

Counts

180 → 180

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	330	2917
1	797	2566
2	2228	2295
done	5002	2196

prune581.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
276×	`*-un-lft-identity`
257×	`add-sqr-sqrt`
251×	`add-cube-cbrt`
57×	`associate-/r*`
37×	`add-exp-log`
30×	`prod-diff`
29×	`div-inv`
25×	`add-cbrt-cube`
18×	`distribute-rgt-in` `distribute-lft-in` `div-exp`
14×	`distribute-lft-out`
13×	`associate-r`
12×	`pow1`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `-commutative` `unswap-sqr`
1×	`flip3--` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Counts

4 → 364

Calls

4 calls:

1.5s	(* (* 3.0 (sqrt x)) (- (+ y (/ 1 (/ 9.0 (/ 1.0 x)))) 1.0))
18.0ms	(/ 9.0 (/ 1.0 x))
17.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1 (/ 9.0 (/ 1.0 x)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1 (/ 9.0 (/ 1.0 x)))) 1.0))
23.0ms	(/ 9.0 (/ 1.0 x))
63.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1 (/ 9.0 (/ 1.0 x)))

simplify2.5s

Counts

376 → 376

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	587	6761
1	1333	5637
2	3457	4796
done	5001	4697

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
149×	`associate-r`
148×	`add-sqr-sqrt`
136×	`add-cube-cbrt` `*-un-lft-identity`
134×	`sqrt-prod`
102×	`add-exp-log`
58×	`add-cbrt-cube`
38×	`div-exp` `prod-exp`
21×	`pow1`
20×	`cbrt-unprod`
19×	`cbrt-undiv`
10×	`associate-l` `pow-prod-down`
8×	`div-inv`
7×	`rec-exp` `1-exp`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `-commutative` `associate-/l`
2×	`sqrt-pow1` `pow1/2` `associate-*r/` `associate-/r/`
1×	`frac-2neg` `sqrt-unprod` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 271

Calls

4 calls:

17.0ms	(* 3.0 (sqrt x))
14.0ms	(* (sqrt x) (sqrt 9.0))
131.0ms	(/ 1 (* (* (sqrt x) (sqrt 9.0)) (/ (sqrt 9.0) (/ 1.0 (sqrt x)))))
111.0ms	(* (* (sqrt x) (sqrt 9.0)) (/ (sqrt 9.0) (/ 1.0 (sqrt x))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 3.0 (sqrt x))
89.0ms	(* (sqrt x) (sqrt 9.0))
177.0ms	(/ 1 (* (* (sqrt x) (sqrt 9.0)) (/ (sqrt 9.0) (/ 1.0 (sqrt x)))))
130.0ms	(* (* (sqrt x) (sqrt 9.0)) (/ (sqrt 9.0) (/ 1.0 (sqrt x))))

simplify3.0s

Counts

283 → 283

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	458	4619
1	1326	3558
2	4896	3301
done	5000	3300

prune892.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	24	24
done	24	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

454.0ms	8685×	body	80	nan
454.0ms	8541×	body	80	valid