Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	273×	body	80	nan
14.0ms	270×	body	80	valid

simplify11.0s

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: 0.4b

localize15.0ms

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

rewrite257.0ms

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:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
203.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (/ 1.0 (* x 9.0)))
90.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
50.0ms	(* 3.0 (sqrt x))
27.0ms	(/ 1.0 (* x 9.0))

simplify1.0s

Counts

96 → 96

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	178	1134
1	452	1044
2	1588	934
done	5001	926

prune223.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 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)))

rewrite415.0ms

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:

14.0ms	(+ y (/ 1.0 (* x 9.0)))
10.0ms	(/ 1.0 (* x 9.0))
184.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
203.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1.0 (* x 9.0)))
21.0ms	(/ 1.0 (* x 9.0))
83.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
87.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.0s

Counts

110 → 110

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	177	1564
1	424	1484
2	1527	1350
done	5000	1350

prune291.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
0.2b	(* 3.0 (sqrt x))
0.4b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

7.0ms	(+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0)))
367.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
43.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series443.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0)))
147.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
66.0ms	(* 3.0 (sqrt x))
141.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify1.5s

Counts

132 → 132

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	258	2320
1	727	2154
2	2803	1666
done	5000	1444

prune347.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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

rewrite984.0ms

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:

560.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
8.0ms	(/ 1.0 (* x 9.0))
222.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
187.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
19.0ms	(/ 1.0 (* x 9.0))
70.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
207.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.4s

Counts

155 → 155

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	242	3222
1	665	3124
2	2292	2493
done	5000	2247

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	20
1	24	20
2	32	20
3	36	20
done	36	20

end0.0ms

sample1.9s

Algorithm

intervals

Results

687.0ms	8527×	body	80	nan
575.0ms	8541×	body	80	valid