Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	285×	body	80	nan
14.0ms	267×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

45.0ms	(+ (- y 1.0) (/ 1.0 (* 9.0 x)))
11.0ms	(/ 1.0 (* 9.0 x))
132.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
7.0ms	(* 3.0 (sqrt x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (- y 1.0) (/ 1.0 (* 9.0 x)))
35.0ms	(/ 1.0 (* 9.0 x))
104.0ms	(* (* 3.0 (sqrt x)) (+ (- y 1.0) (/ 1.0 (* 9.0 x))))
40.0ms	(* 3.0 (sqrt x))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2994
1	530
0	188

prune559.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
25×	`sqrt-prod`
23×	`associate-r`
19×	`associate-*r/`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`pow1` `prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `associate-+l+` `sub-neg` `div-exp`
6×	`frac-add` `associate-/l*` `add-log-exp`
4×	`flip3--` `pow-prod-down` `flip--`
3×	`frac-times` `associate-/r` `associate-l/` `div-inv` `unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+`

Counts

4 → 151

Calls

4 calls:

29.0ms	(+ (* (sqrt x) (* 3.0 (- y 1.0))) (* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0)))
13.0ms	(/ (sqrt x) 9.0)
50.0ms	(* (sqrt x) (* 3.0 (- y 1.0)))
29.0ms	(* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(+ (* (sqrt x) (* 3.0 (- y 1.0))) (* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0)))
72.0ms	(/ (sqrt x) 9.0)
56.0ms	(* (sqrt x) (* 3.0 (- y 1.0)))
64.0ms	(* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0))

simplify568.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
1	861
0	290

prune948.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
30×	`associate-r`
25×	`*-un-lft-identity` `add-cube-cbrt`
23×	`times-frac`
19×	`associate-l`
18×	`pow1`
17×	`sqrt-prod`
15×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
7×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
2×	`div-inv`
1×	`distribute-lft-neg-out` `frac-times` `associate-l/` `associate-r/` `distribute-rgt-neg-out`

Counts

4 → 118

Calls

4 calls:

28.0ms	(* 3.0 (* y (sqrt x)))
17.0ms	(* y (sqrt x))
28.0ms	(* (sqrt x) (* (- 1.0) 3.0))
42.0ms	(* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 3.0 (* y (sqrt x)))
52.0ms	(* y (sqrt x))
43.0ms	(* (sqrt x) (* (- 1.0) 3.0))
68.0ms	(* (/ (* 1.0 3.0) x) (/ (sqrt x) 9.0))

simplify2.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	4714
1	747
0	247

prune729.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
22×	`add-sqr-sqrt`
18×	`pow1` `associate-l`
15×	`associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
11×	`prod-exp` `sqrt-prod` `cbrt-unprod`
8×	`pow-prod-down`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`times-frac`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-out` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 93

Calls

4 calls:

24.0ms	(* 3.0 (* y (sqrt x)))
11.0ms	(* y (sqrt x))
24.0ms	(* (sqrt x) (* (- 1.0) 3.0))
19.0ms	(* (sqrt x) (/ (* 1.0 3.0) x))

series218.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 3.0 (* y (sqrt x)))
47.0ms	(* y (sqrt x))
43.0ms	(* (sqrt x) (* (- 1.0) 3.0))
71.0ms	(* (sqrt x) (/ (* 1.0 3.0) x))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3105
1	545
0	191

prune421.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	42
3	42
2	39
1	31
0	19

end0.0ms

sample2.1s

Algorithm

intervals

Results

848.0ms	8676×	body	80	nan
620.0ms	8545×	body	80	valid