Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

452×

body

valid

simplify34.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	50	8
4	68	8
5	78	8
6	124	8
7	199	8
8	239	8
9	253	8
10	413	8
11	942	8
12	3580	8
done	5000	8

prune4.0ms

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	(fma x x (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x x (* 3 (* y y)))
7.0ms	(* 3 (* y y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x x (* 3 (* y y)))
24.0ms	(* 3 (* y y))

simplify4.0s

Counts

37 → 37

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	50	312
1	108	296
2	321	260
3	1005	254
4	4097	254
done	5000	254

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (pow (* (* 3 y) y) 1))
0.2b	(* (* 3 y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (pow (* (* 3 y) y) 1))
7.0ms	(* (* 3 y) y)

series72.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(fma x x (pow (* (* 3 y) y) 1))
26.0ms	(* (* 3 y) y)

simplify2.6s

Counts

36 → 36

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	53	331
1	125	291
2	554	251
3	2580	245
done	5001	245

prune75.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.2b	(* (cbrt 3) (* y y))

rewrite41.0ms

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`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 65

Calls

3 calls:

0.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
30.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series231.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
51.0ms	(* (cbrt 3) (* y y))

simplify2.4s

Counts

74 → 74

Iterations

Useful iterations: 3 (336.0ms)

Iter	Nodes	Cost
0	84	954
1	208	930
2	709	629
3	3031	487
done	5000	487

prune133.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
0.2b	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
0.2b	(* (sqrt (cbrt 3)) (* y y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
42×	`add-cbrt-cube`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`associate-l`
14×	`sqrt-prod`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 104

Calls

4 calls:

0.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
28.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
13.0ms	(* (sqrt (cbrt 3)) (* y y))
86.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
54.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
79.0ms	(* (sqrt (cbrt 3)) (* y y))
92.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

simplify599.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	117	1968
1	307	1477
2	1128	995
done	5000	995

prune233.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	12	8
done	12	8

end0.0ms

sample557.0ms

Algorithm

intervals

Results

327.0ms

14334×

body

valid