Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

332×

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

5.0ms	(+ 0.253 (* x 0.12))
5.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
18.0ms	(* x (+ 0.253 (* x 0.12)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 0.253 (* x 0.12))
26.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
67.0ms	(* x (+ 0.253 (* x 0.12)))

simplify34.0ms

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	226	274
1	991	253
2	5002	253
done	5002	253

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

137.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
117.0ms	(cbrt (+ 0.253 (* x 0.12)))
122.0ms	(cbrt (+ 0.253 (* x 0.12)))
122.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify56.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	527	1629
1	1893	1476
2	5001	1331
done	5001	1331

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.2b	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`difference-of-squares`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (- 0.253 (* x 0.12)))
6.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ 0.253 (* x 0.12)))
124.0ms	(cbrt (+ 0.253 (* x 0.12)))
127.0ms	(cbrt (- 0.253 (* x 0.12)))
235.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify58.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	513	818
1	1822	783
2	5002	687
done	5002	687

prune320.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.2b	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`difference-of-squares`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (- 0.253 (* x 0.12)))
6.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ 0.253 (* x 0.12)))
119.0ms	(cbrt (+ 0.253 (* x 0.12)))
128.0ms	(cbrt (- 0.253 (* x 0.12)))
241.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify51.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	513	818
1	1822	783
2	5002	687
done	5002	687

prune309.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes90.0ms

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

sample364.0ms

Algorithm

intervals

Results

205.0ms

10584×

body

valid