Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify157.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	35	9
3	65	9
4	89	9
5	103	9
6	145	9
7	235	9
8	265	9
done	265	9

prune2.0ms

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)))

rewrite9.0ms

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:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 0.253 (* x 0.12))
64.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 3 (259.0ms)

Iter	Nodes	Cost
0	60	377
1	163	363
2	489	335
3	1566	325
done	5001	325

prune75.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* (+ 0.253 (* x 0.12)) x)

series98.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* (+ 0.253 (* x 0.12)) x)

simplify2.0s

Counts

37 → 37

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	58	361
1	143	353
2	477	309
3	1830	309
done	5002	309

prune76.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite79.0ms

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:

70.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
1.0ms	(cbrt (+ 0.253 (* x 0.12)))
1.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
123.0ms	(cbrt (+ 0.253 (* x 0.12)))
121.0ms	(cbrt (+ 0.253 (* x 0.12)))
125.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify798.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	186	3007
1	504	2865
2	1600	2503
done	5000	2503

prune296.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 (pow x 2)) (* 0.253 x))
0.2b	(* 0.12 (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

3.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
6.0ms	(* 0.12 (pow x 2))

series100.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* 0.12 (pow x 2)) (* 0.253 x))
29.0ms	(* 0.12 (pow x 2))

simplify1.0s

Counts

44 → 44

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	73	440
1	186	398
2	535	353
3	1600	325
done	5000	325

prune80.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample321.0ms

Algorithm

intervals

Results

210.0ms

10709×

body

valid