Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	271×	body	80	valid
15.0ms	252×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
9	2920
8	1615
7	959
6	645
5	435
4	318
3	176
2	62
1	24
0	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* 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))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`pow1`
9×	`add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-inv` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

214.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (sqrt x))

series180.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
27.0ms	(/ 1.0 (* x 9.0))
57.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1517
1	432
0	163

prune367.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-*r/`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

7.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))
9.0ms	(* 3.0 (sqrt x))
51.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))
48.0ms	(* 3.0 (sqrt x))
98.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1557
1	423
0	157

prune514.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

4 → 83

Calls

4 calls:

10.0ms	(+ y (/ 0.1111111111111111 x))
13.0ms	(* 3.0 (sqrt x))
14.0ms	(* 3.0 (sqrt x))
69.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 0.1111111111111111 x))
45.0ms	(* 3.0 (sqrt x))
59.0ms	(* 3.0 (sqrt x))
105.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1307
1	354
0	124

prune466.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
61×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
53×	`add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
13×	`pow1` `associate-/l*`
8×	`sqrt-prod`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative`
2×	`associate-*r/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

9.0ms	(* 3.0 (sqrt x))
9.0ms	(* 3.0 (sqrt x))
10.0ms	(/ (/ 1.0 x) 9.0)
97.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3.0 (sqrt x))
44.0ms	(* 3.0 (sqrt x))
19.0ms	(/ (/ 1.0 x) 9.0)
106.0ms	(* (* 3.0 (sqrt x)) (+ y (/ (/ 1.0 x) 9.0)))

simplify1.7s

Counts

153 → 153

Iterations

Iter	Nodes
done	5002
2	2137
1	659
0	256

prune664.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

738.0ms	8541×	body	80	valid
628.0ms	8580×	body	80	nan