Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

465×

body

valid

simplify33.6s

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: 0.2b

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))

series69.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x x (* 3 (* y y)))
25.0ms	(* 3 (* y y))

simplify3.9s

Counts

37 → 37

Iterations

Useful iterations: 3 (136.0ms)

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

prune72.0ms

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)

series71.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma x x (pow (* (* 3 y) y) 1))
26.0ms	(* (* 3 y) y)

simplify2.5s

Counts

36 → 36

Iterations

Useful iterations: 3 (293.0ms)

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

prune77.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
0.3b	(* (sqrt 3) (* y y))
0.3b	(* (sqrt 3) (* (sqrt 3) (* y y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
9.0ms	(* (sqrt 3) (* y y))
24.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma x x (* (sqrt 3) (* (sqrt 3) (* y y))))
44.0ms	(* (sqrt 3) (* y y))
71.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	75	787
1	176	589
2	652	497
3	2126	481
done	5000	481

prune128.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt 3)) (* y y))
0.3b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
0.3b	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
48×	`cbrt-prod`
46×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
27×	`sqrt-prod`
25×	`associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 155

Calls

4 calls:

10.0ms	(* (cbrt (sqrt 3)) (* y y))
35.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
102.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
10.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series374.0ms

Counts

4 → 10

Calls

4 calls:

245.0ms	(* (cbrt (sqrt 3)) (* y y))
50.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
79.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify1.1s

Counts

165 → 165

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	149	2530
1	367	2341
2	1664	1572
done	5001	1568

prune327.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes71.0ms

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

sample533.0ms

Algorithm

intervals

Results

314.0ms

14346×

body

valid