Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	267×	body	80	valid
7.0ms	248×	body	80	nan

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	143	14
4	230	14
5	363	14
6	600	14
7	851	14
8	1237	14
9	2169	14
10	3151	14
11	3545	14
12	3660	14
done	3660	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))) 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))

rewrite126.0ms

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:

43.0ms	(- (+ 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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
37.0ms	(* 3.0 (sqrt x))
73.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(/ 1.0 (* x 9.0))

simplify607.0ms

Counts

101 → 101

Iterations

Useful iterations: done (604.0ms)

Iter	Nodes	Cost
0	175	1232
1	438	1168
2	1555	1030
done	5000	1021

prune240.0ms

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))

rewrite206.0ms

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)
83.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
75.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
58.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
65.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify510.0ms

Counts

115 → 115

Iterations

Useful iterations: done (507.0ms)

Iter	Nodes	Cost
0	174	1662
1	410	1608
2	1420	1446
done	5000	1428

prune224.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0)
0.2b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
0.4b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

15.0ms	(- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0)
4.0ms	(* 3.0 (sqrt x))
29.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
23.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series491.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0)
41.0ms	(* 3.0 (sqrt x))
294.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
103.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify1.0s

Counts

137 → 137

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	255	2451
1	732	2346
2	2802	1778
done	5000	1772

prune367.0ms

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

rewrite379.0ms

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:

84.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
210.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
76.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
98.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
137.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
17.0ms	(/ 1.0 (* x 9.0))

simplify691.0ms

Counts

155 → 155

Iterations

Useful iterations: done (686.0ms)

Iter	Nodes	Cost
0	242	3222
1	609	3124
2	2173	2493
done	5000	2484

prune260.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	19	21
done	19	21

end0.0ms

sample792.0ms

Algorithm

intervals

Results

260.0ms	8502×	body	80	nan
258.0ms	8510×	body	80	valid