Details

sample56.0ms

Algorithm

intervals

Results

25.0ms

411×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	37	9
4	45	9
5	48	9
done	48	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* 3 (* z z)))
0.2b	(* 3 (* z z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

26.0ms	(+ (* x y) (* 3 (* z z)))
35.0ms	(* 3 (* z z))

series127.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ (* x y) (* 3 (* z z)))
50.0ms	(* 3 (* z z))

simplify5.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (493.0ms)

Iter	Nodes	Cost
0	57	370
1	159	340
2	505	306
3	1492	294
4	4067	294
done	5002	294

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

9.0ms	(+ (* x y) (* (* 3 z) z))
22.0ms	(* (* 3 z) z)

series118.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* x y) (* (* 3 z) z))
42.0ms	(* (* 3 z) z)

simplify3.1s

Counts

35 → 35

Iterations

Useful iterations: 3 (968.0ms)

Iter	Nodes	Cost
0	59	365
1	174	335
2	665	301
3	1965	287
done	5001	287

prune78.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.2b	(* (cbrt 3) (* z z))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

25.0ms	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
134.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
33.0ms	(* (cbrt 3) (* z z))

series356.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
162.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
72.0ms	(* (cbrt 3) (* z z))

simplify4.1s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	89	1026
1	241	960
2	902	670
3	3619	513
done	5000	513

prune143.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (cbrt 3)) z)
0.1b	(* (sqrt (cbrt 3)) z)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
0.3b	(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
51×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`cbrt-prod` `associate-r`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

17.0ms	(* (sqrt (cbrt 3)) z)
24.0ms	(* (sqrt (cbrt 3)) z)
245.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
100.0ms	(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

series411.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (sqrt (cbrt 3)) z)
126.0ms	(* (sqrt (cbrt 3)) z)
106.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z)))
74.0ms	(* (* (sqrt (cbrt 3)) z) (* (sqrt (cbrt 3)) z))

simplify2.8s

Counts

156 → 156

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	101	2081
1	250	1569
2	1077	1081
done	5001	964

prune264.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes159.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

696.0ms

12115×

body

valid