Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	286×	body	80	nan
9.0ms	272×	body	80	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	154	14
4	301	14
5	505	14
6	894	14
7	1249	14
8	1937	14
9	3745	14
done	5000	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
76.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series151.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

131 → 131

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	230	2240
1	611	1935
2	2721	1642
done	5000	1637

prune238.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
87.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
90.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify959.0ms

Counts

193 → 193

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	277	4666
1	646	3937
2	2453	3263
done	5000	3257

prune257.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r` `prod-diff`
21×	`sqrt-prod`
20×	`pow1`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`distribute-lft-out`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate--l+` `distribute-lft-out--`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

3.0ms	(/ 1.0 (* x 9.0))
121.0ms	(* (* (* 3.0 (sqrt (sqrt x))) (sqrt (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(* 3.0 (sqrt (sqrt x)))
16.0ms	(* (* 3.0 (sqrt (sqrt x))) (sqrt (sqrt x)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1.0 (* x 9.0))
61.0ms	(* (* (* 3.0 (sqrt (sqrt x))) (sqrt (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
160.0ms	(* 3.0 (sqrt (sqrt x)))
42.0ms	(* (* 3.0 (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.8s

Counts

147 → 147

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	263	3038
1	701	2181
2	3396	1784
done	5001	1779

prune257.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* (* 3.0 (pow x 1/4)) (sqrt (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (pow x 1/4))
0.3b	(* (* 3.0 (pow x 1/4)) (sqrt (sqrt x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-exp-log`
34×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
25×	`add-cbrt-cube`
24×	`prod-diff`
23×	`prod-exp`
22×	`associate-r`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1` `cbrt-unprod`
9×	`sqrt-prod`
7×	`distribute-lft-out`
5×	`associate-l`
4×	`expm1-log1p-u` `unpow-prod-down` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `times-frac` `pow-exp` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `associate--l+` `distribute-lft-out--` `sqr-pow`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

3.0ms	(/ 1.0 (* x 9.0))
100.0ms	(* (* (* 3.0 (pow x 1/4)) (sqrt (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (pow x 1/4))
14.0ms	(* (* 3.0 (pow x 1/4)) (sqrt (sqrt x)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
102.0ms	(* (* (* 3.0 (pow x 1/4)) (sqrt (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
187.0ms	(* 3.0 (pow x 1/4))
72.0ms	(* (* 3.0 (pow x 1/4)) (sqrt (sqrt x)))

simplify1.8s

Counts

148 → 148

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	297	3150
1	792	2792
2	3794	2414
done	5000	2411

prune300.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	21	19
done	21	19

end0.0ms

sample833.0ms

Algorithm

intervals

Results

272.0ms	8497×	body	80	nan
272.0ms	8539×	body	80	valid