Details

sample37.0ms

Algorithm

intervals

Results

9.0ms	318×	body	80	nan
8.0ms	271×	body	80	valid

simplify8.8s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 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))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

10.0ms	(+ y (/ 1.0 (* x 9.0)))
150.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))

series150.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))

simplify759.0ms

Counts

96 → 96

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	178	1134
1	452	1044
2	1588	934
done	5000	926

prune194.0ms

Pruning

11 alts after pruning (11 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)))
0.2b	(* (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)))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
168.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
153.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
58.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
67.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify698.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	177	1564
1	424	1484
2	1525	1350
done	5002	1350

prune216.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite762.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

425.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
168.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
156.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
59.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
140.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.1s

Counts

155 → 155

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	242	3222
1	665	3124
2	2288	2493
done	5000	2247

prune265.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

7.0ms	(/ 1.0 (* x 9.0))
21.0ms	(* y (* (sqrt x) 3.0))
10.0ms	(* (sqrt x) 3.0)
79.0ms	(* (* 3.0 (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1.0 (* x 9.0))
56.0ms	(* y (* (sqrt x) 3.0))
40.0ms	(* (sqrt x) 3.0)
77.0ms	(* (* 3.0 (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x))

simplify970.0ms

Counts

96 → 96

Iterations

Useful iterations: done (967.0ms)

Iter	Nodes	Cost
0	188	1040
1	469	954
2	1634	824
done	5000	812

prune202.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes106.0ms

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	16	14
done	16	14

end0.0ms

sample897.0ms

Algorithm

intervals

Results

269.0ms	8763×	body	80	nan
255.0ms	8539×	body	80	valid