Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

386×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

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

1 alts after pruning (1 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))

rewrite45.0ms

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:

10.0ms	(+ (* x y) (* 3 (* z z)))
34.0ms	(* 3 (* z z))

series110.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* x y) (* 3 (* z z)))
35.0ms	(* 3 (* z z))

simplify5.1s

Counts

36 → 36

Iterations

Useful iterations: 3 (571.0ms)

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

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:

18.0ms	(+ (* x y) (* (* 3 z) z))
45.0ms	(* (* 3 z) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* x y) (* (* 3 z) z))
47.0ms	(* (* 3 z) z)

simplify3.3s

Counts

35 → 35

Iterations

Useful iterations: 3 (926.0ms)

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

prune96.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (* (sqrt 3) z) (* (sqrt 3) z)))
0.3b	(* (* (sqrt 3) z) (* (sqrt 3) z))
0.4b	(* (sqrt 3) z)
0.4b	(* (sqrt 3) z)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

11.0ms	(+ (* x y) (* (* (sqrt 3) z) (* (sqrt 3) z)))
51.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
16.0ms	(* (sqrt 3) z)
30.0ms	(* (sqrt 3) z)

series359.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (* x y) (* (* (sqrt 3) z) (* (sqrt 3) z)))
99.0ms	(* (* (sqrt 3) z) (* (sqrt 3) z))
61.0ms	(* (sqrt 3) z)
50.0ms	(* (sqrt 3) z)

simplify3.8s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	80	974
1	202	693
2	812	605
3	3305	591
done	5000	591

prune272.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z)) (* (sqrt 3) z))
0.4b	(* (sqrt (sqrt 3)) z)
0.4b	(* (sqrt 3) z)
0.4b	(* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`associate-l` `sqrt-prod`
24×	`add-sqr-sqrt`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`

Counts

4 → 100

Calls

4 calls:

164.0ms	(* (* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z)) (* (sqrt 3) z))
26.0ms	(* (sqrt (sqrt 3)) z)
19.0ms	(* (sqrt 3) z)
63.0ms	(* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z))

series380.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z)) (* (sqrt 3) z))
122.0ms	(* (sqrt (sqrt 3)) z)
53.0ms	(* (sqrt 3) z)
60.0ms	(* (sqrt (sqrt 3)) (* (sqrt (sqrt 3)) z))

simplify5.9s

Counts

112 → 112

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	99	1326
1	238	852
2	929	671
3	3526	664
done	5001	657

prune307.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes165.0ms

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

681.0ms

12276×

body

valid