Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

351×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4
done	415	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ 0.253 (* x 0.12))
15.0ms	(* x (+ 0.253 (* x 0.12)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (+ 0.253 (* x 0.12)))

simplify112.0ms

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154
done	5002	154

prune76.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 x) 0.253)
0.1b	(* x (+ (* 0.12 x) 0.253))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

11.0ms	(+ (* 0.12 x) 0.253)
24.0ms	(* x (+ (* 0.12 x) 0.253))

series101.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 0.12 x) 0.253)
63.0ms	(* x (+ (* 0.12 x) 0.253))

simplify103.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	165	174
1	716	155
2	3842	154
3	5001	154
done	5001	154

prune71.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 120

Calls

4 calls:

9.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
35.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
24.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
30.0ms	(* (* x 0.12) (* x 0.12))

series519.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
172.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
265.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
26.0ms	(* (* x 0.12) (* x 0.12))

simplify90.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	440	1115
1	2474	934
2	5002	879
done	5002	879

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
0.2b	(* x (* 0.12 (* x 0.12)))
0.2b	(* 0.12 (* x 0.12))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
19×	`times-frac`
17×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-l`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `associate-/r` `-commutative` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 105

Calls

4 calls:

35.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
24.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
40.0ms	(* x (* 0.12 (* x 0.12)))
15.0ms	(* 0.12 (* x 0.12))

series335.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
125.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
25.0ms	(* x (* 0.12 (* x 0.12)))
15.0ms	(* 0.12 (* x 0.12))

simplify66.0ms

Counts

117 → 117

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	1047
1	2255	888
2	5001	888
done	5001	888

prune211.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4
done	11	4

end0.0ms

sample382.0ms

Algorithm

intervals

Results

213.0ms

10701×

body

valid