Details

sample55.0ms

Algorithm

intervals

Results

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

simplify28.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

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))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `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 → 119

Calls

4 calls:

20.0ms	(+ y (/ 1.0 (* x 9.0)))
259.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ y (/ 1.0 (* x 9.0)))
114.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
44.0ms	(* 3.0 (sqrt x))
28.0ms	(/ 1.0 (* x 9.0))

simplify1.5s

Counts

131 → 131

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune380.0ms

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

rewrite915.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
23×	`associate-+l+`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
11×	`pow1`
9×	`associate-l` `add-log-exp`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u` `div-inv` `distribute-lft-out`
3×	`flip3-+` `flip-+` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `sum-log` `*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

180.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
13.0ms	(/ 1.0 (* x 9.0))
352.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
361.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
32.0ms	(/ 1.0 (* x 9.0))
78.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
85.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	1789
1	438	1668
2	1503	1388
done	5000	1382

prune486.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

11.0ms	(+ y (/ 0.1111111111111111 x))
10.0ms	(* 3.0 (sqrt x))
312.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series204.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ y (/ 0.1111111111111111 x))
66.0ms	(* 3.0 (sqrt x))
82.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	1851
1	496	1569
2	1480	1340
done	5001	1261

prune310.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
32×	`pow1`
25×	`add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`associate-*r/`
11×	`add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `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--`

Counts

4 → 122

Calls

4 calls:

887.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))))
8.0ms	(/ 1.0 (* x 9.0))
386.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
344.0ms	(* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))))
18.0ms	(/ 1.0 (* x 9.0))
88.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
209.0ms	(* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify2.1s

Counts

134 → 134

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	219	2566
1	600	2472
2	2171	1957
done	5000	1792

prune438.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

753.0ms	8527×	body	80	nan
665.0ms	8541×	body	80	valid