Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	273×	body	80	valid
16.0ms	240×	body	80	nan

simplify11.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	180	14
4	330	14
5	480	14
6	697	14
7	992	14
8	1346	14
9	1873	14
10	2421	14
11	2835	14
12	2889	14
done	2889	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite432.0ms

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:

154.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
15.0ms	(/ 1.0 (* x 9.0))
15.0ms	(* 3.0 (sqrt x))
243.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
32.0ms	(/ 1.0 (* x 9.0))
43.0ms	(* 3.0 (sqrt x))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.0s

Counts

101 → 101

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	175	1232
1	435	1168
2	1539	1030
done	5001	1016

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite553.0ms

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:

119.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
249.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(/ 1.0 (* x 9.0))
173.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
74.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
96.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.0s

Counts

115 → 115

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	174	1662
1	407	1608
2	1466	1446
done	5000	1428

prune325.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

105.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
14.0ms	(/ 1.0 (* x 9.0))
111.0ms	(* (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) 3.0)
32.0ms	(* 3.0 (* (sqrt x) y))

series288.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
26.0ms	(/ 1.0 (* x 9.0))
96.0ms	(* (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) 3.0)
73.0ms	(* 3.0 (* (sqrt x) y))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	183	1262
1	460	1180
2	1660	1028
done	5001	1016

prune320.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1` `add-sqr-sqrt`
15×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `sqrt-prod`
5×	`associate-r`
4×	`sub-neg` `associate-*r/` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 92

Calls

4 calls:

13.0ms	(* (sqrt x) y)
8.0ms	(/ 1.0 (* x 9.0))
33.0ms	(* 3.0 (* (sqrt x) y))
96.0ms	(* (sqrt x) (* 3.0 (- (/ 1.0 (* x 9.0)) 1.0)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (sqrt x) y)
25.0ms	(/ 1.0 (* x 9.0))
84.0ms	(* 3.0 (* (sqrt x) y))
103.0ms	(* (sqrt x) (* 3.0 (- (/ 1.0 (* x 9.0)) 1.0)))

simplify1.6s

Counts

104 → 104

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	188	1174
1	463	1096
2	1651	970
done	5000	952

prune326.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	15	14
done	15	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

640.0ms	8291×	body	80	nan
568.0ms	8525×	body	80	valid