Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	304×	body	80	nan
15.0ms	277×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1492
5	656
4	371
3	180
2	64
1	24
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* 9.0 x))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

124.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
12.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1.0 (* 9.0 x))

series178.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
54.0ms	(* 3.0 (sqrt x))
34.0ms	(/ 1.0 (* 9.0 x))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	2828
1	482
0	170

prune397.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
28×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
17×	`associate-r`
16×	`times-frac` `associate-l`
13×	`pow1` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow-prod-down` `associate-*r/`
4×	`sub-neg` `sqrt-prod` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative` `div-inv`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `associate-l/` `flip--` `associate-/l`

Counts

4 → 117

Calls

4 calls:

18.0ms	(/ (* (sqrt x) 3.0) x)
54.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))
15.0ms	(* (sqrt x) 3.0)
32.0ms	(* (/ (* (sqrt x) 3.0) x) (/ 1.0 9.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* (sqrt x) 3.0) x)
57.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))
57.0ms	(* (sqrt x) 3.0)
71.0ms	(* (/ (* (sqrt x) 3.0) x) (/ 1.0 9.0))

simplify2.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
2	4755
1	689
0	234

prune775.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt x) (- y 1.0))
0.3b	(/ (/ (* (sqrt x) 1.0) (/ x 3.0)) 9.0)
0.3b	(* 3.0 (* (sqrt x) (- y 1.0)))
0.3b	(/ (* (sqrt x) 1.0) (/ x 3.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 200

Calls

4 calls:

25.0ms	(* (sqrt x) (- y 1.0))
20.0ms	(/ (/ (* (sqrt x) 1.0) (/ x 3.0)) 9.0)
48.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))
24.0ms	(/ (* (sqrt x) 1.0) (/ x 3.0))

series286.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt x) (- y 1.0))
73.0ms	(/ (/ (* (sqrt x) 1.0) (/ x 3.0)) 9.0)
64.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))
91.0ms	(/ (* (sqrt x) 1.0) (/ x 3.0))

simplify1000.0ms

Counts

212 → 212

Iterations

Iter	Nodes
done	5001
1	1024
0	367

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt x) (- y 1.0))
0.3b	(/ (* 1.0 (sqrt x)) (sqrt 9.0))
0.3b	(/ (/ (* 1.0 (sqrt x)) (sqrt 9.0)) x)
0.3b	(* 3.0 (* (sqrt x) (- y 1.0)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
22×	`sqrt-prod`
11×	`pow1` `associate-/l*`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-/r` `associate-l*`
7×	`cbrt-undiv` `div-exp`
6×	`sub-neg` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv`
4×	`pow-prod-down` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares` `associate-/l/`

Counts

4 → 145

Calls

4 calls:

19.0ms	(* (sqrt x) (- y 1.0))
10.0ms	(/ (* 1.0 (sqrt x)) (sqrt 9.0))
23.0ms	(/ (/ (* 1.0 (sqrt x)) (sqrt 9.0)) x)
59.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (sqrt x) (- y 1.0))
185.0ms	(/ (* 1.0 (sqrt x)) (sqrt 9.0))
170.0ms	(/ (/ (* 1.0 (sqrt x)) (sqrt 9.0)) x)
72.0ms	(* 3.0 (* (sqrt x) (- y 1.0)))

simplify2.0s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	4135
1	729
0	271

prune737.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	39
3	39
2	32
1	27
0	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

737.0ms	8857×	body	80	nan
600.0ms	8529×	body	80	valid