Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	267×	body	80	valid
8.0ms	248×	body	80	nan

simplify12.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	146	14
4	239	14
5	373	14
6	610	14
7	886	14
8	1391	14
9	2597	14
10	4494	14
11	4850	14
done	4850	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))) 1.0)
0.2b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b	(/ 1.0 (* x 9.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod` `distribute-lft-out--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate--l+` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `diff-log` `associate-r/` `div-exp` `-commutative` `flip--` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

41.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
5.0ms	(* 3.0 (sqrt x))
73.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series140.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
39.0ms	(* 3.0 (sqrt x))
63.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))

simplify625.0ms

Counts

101 → 101

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	175	1232
1	448	1170
2	1917	1030
done	5000	1024

prune214.0ms

Pruning

14 alts after pruning (14 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))) 1.0)
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.4b	(/ 1.0 (* x 9.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

42.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
86.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
78.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
59.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
63.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
19.0ms	(/ 1.0 (* x 9.0))

simplify527.0ms

Counts

115 → 115

Iterations

Useful iterations: done (524.0ms)

Iter	Nodes	Cost
0	174	1662
1	415	1608
2	1634	1446
done	5000	1440

prune222.0ms

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
33×	`add-exp-log`
28×	`*-un-lft-identity`
25×	`times-frac`
24×	`associate-r`
23×	`add-cbrt-cube`
22×	`add-cube-cbrt`
17×	`associate-l`
13×	`pow1`
12×	`prod-exp`
9×	`add-log-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate--l+` `-commutative`
2×	`rec-exp` `flip3--` `diff-log` `1-exp` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-*l/` `sum-log`

Counts

4 → 122

Calls

4 calls:

13.0ms	(- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)
5.0ms	(* 3.0 (sqrt x))
36.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
14.0ms	(* (/ 1 x) (/ 1.0 9.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0)
40.0ms	(* 3.0 (sqrt x))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
18.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify1.2s

Counts

134 → 134

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	241	1779
1	685	1502
2	3014	1288
done	5000	1282

prune288.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))) 1.0))
0.4b	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
0.4b	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
0.6b	(* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

1162×	`times-frac`
1002×	`sqrt-prod`
865×	`add-sqr-sqrt`
551×	`*-un-lft-identity`
549×	`add-cube-cbrt`
148×	`swap-sqr`
105×	`associate-r`
101×	`associate-l`
49×	`unswap-sqr`
48×	`div-inv`
32×	`associate-/l*`
25×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
12×	`associate-/r*`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `sqrt-undiv` `div-exp`
4×	`pow-prod-down` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
2×	`sub-neg` `frac-2neg` `sqrt-div` `associate--l+` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `pow-plus` `sqrt-unprod` `associate-*l/` `rem-square-sqrt` `pow-sqr` `pow-prod-up` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 715

Calls

4 calls:

30.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))) 1.0))
9.0ms	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
9.0ms	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
175.0ms	(* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))) 1.0))
72.0ms	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
72.0ms	(/ (sqrt (/ 1.0 9.0)) (sqrt x))
89.0ms	(* (/ (sqrt (/ 1.0 9.0)) (sqrt x)) (/ (sqrt (/ 1.0 9.0)) (sqrt x)))

simplify703.0ms

Counts

727 → 727

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	633	17514
1	2057	15816
done	5001	15188

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	17	24
done	17	24

end0.0ms

sample831.0ms

Algorithm

intervals

Results

276.0ms	8510×	body	80	valid
275.0ms	8502×	body	80	nan