Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

473×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	7	15
1	14	14
2	29	11
3	50	8
4	67	8
5	71	8
done	71	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)))
6.0ms	(* 3 (* y y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma x x (* 3 (* y y)))
24.0ms	(* 3 (* y y))

simplify2.7s

Counts

37 → 37

Iterations

Useful iterations: 3 (162.0ms)

Iter	Nodes	Cost
0	50	312
1	106	296
2	284	260
3	610	254
4	1240	254
5	3484	254
done	5000	254

prune70.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

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`
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 (* (* 3 y) y))
6.0ms	(* (* 3 y) y)

series68.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma x x (* (* 3 y) y))
27.0ms	(* (* 3 y) y)

simplify5.4s

Counts

36 → 36

Iterations

Useful iterations: 4 (3.5s)

Iter	Nodes	Cost
0	52	307
1	118	291
2	428	253
3	1320	247
4	4461	246
done	5000	246

prune79.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))
9.0ms	(* (cbrt 3) (* y y))

series221.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
88.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
45.0ms	(* (cbrt 3) (* y y))

simplify8.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (709.0ms)

Iter	Nodes	Cost
0	84	954
1	204	930
2	674	629
3	2455	487
4	4680	487
done	5000	487

prune131.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 152

Calls

4 calls:

7.0ms	(* (sqrt (cbrt 3)) y)
6.0ms	(* (sqrt (cbrt 3)) y)
76.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
21.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

series289.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (sqrt (cbrt 3)) y)
75.0ms	(* (sqrt (cbrt 3)) y)
89.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
51.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

simplify1.2s

Counts

164 → 164

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	107	2165
1	287	1633
2	1070	1137
done	5000	1137

prune266.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes70.0ms

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	6	8
1	8	8
done	8	8

end0.0ms

sample548.0ms

Algorithm

intervals

Results

329.0ms

14265×

body

valid