Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
9.0ms	222×	body	80	nan

simplify11.5s

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

localize16.0ms

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))

rewrite231.0ms

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)))
185.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (sqrt x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ y (/ 1.0 (* x 9.0)))
83.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
27.0ms	(/ 1.0 (* x 9.0))
54.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: done (1.1s)

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

prune256.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

26.0ms	(+ y (/ (/ 1.0 x) 9.0))
391.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(/ (/ 1.0 x) 9.0)
10.0ms	(* 3.0 (sqrt x))

series184.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (/ (/ 1.0 x) 9.0))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
29.0ms	(/ (/ 1.0 x) 9.0)
54.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

145 → 145

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	278	1811
1	674	1677
2	1993	1563
done	5000	1555

prune421.0ms

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	(+ 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)))

rewrite829.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

22.0ms	(+ y (/ (/ 1.0 x) 9.0))
403.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(/ (/ 1.0 x) 9.0)
387.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ y (/ (/ 1.0 x) 9.0))
86.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
22.0ms	(/ (/ 1.0 x) 9.0)
71.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify1.2s

Counts

159 → 159

Iterations

Useful iterations: 2 (377.0ms)

Iter	Nodes	Cost
0	278	2241
1	645	2117
2	1931	1979
done	5002	1979

prune469.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 192

Calls

4 calls:

556.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
1.1s	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))))
11.0ms	(/ (/ 1.0 x) 9.0)
366.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
114.0ms	(* (* (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)
179.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify2.0s

Counts

204 → 204

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	343	3899
1	885	3757
2	2710	3122
done	5000	2876

prune486.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes103.0ms

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	12	14
1	15	14
done	15	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

687.0ms	8678×	body	80	nan
564.0ms	8567×	body	80	valid