Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

331×

body

valid

simplify669.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	45	8
3	79	8
4	122	8
5	162	8
6	213	8
7	299	8
8	353	8
9	354	8
done	354	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (fma 0.12 x 0.253) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

19.0ms

(* (fma 0.12 x 0.253) x)

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

(* (fma 0.12 x 0.253) x)

simplify3.9s

Counts

23 → 23

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	39	204
1	77	198
2	244	168
3	841	168
4	3494	168
done	5001	168

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

12.0ms	(+ 0.253 (* x 0.12))
20.0ms	(* x (+ 0.253 (* x 0.12)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ 0.253 (* x 0.12))
133.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.7s

Counts

46 → 46

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	64	405
1	175	344
2	574	312
3	1982	312
done	5000	312

prune144.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.253 x) (* 0.12 (pow x 2)))
0.2b	(* 0.12 (pow x 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
21.0ms	(* 0.12 (pow x 2))

series134.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
36.0ms	(* 0.12 (pow x 2))

simplify2.7s

Counts

49 → 49

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	78	472
1	195	415
2	554	372
3	2028	350
done	5000	331

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
0.1b	(* x (sqrt 0.12))
0.1b	(* x (sqrt 0.12))
0.4b	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
12.0ms	(* x (sqrt 0.12))
20.0ms	(* x (sqrt 0.12))
62.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
57.0ms	(* x (sqrt 0.12))
69.0ms	(* x (sqrt 0.12))
92.0ms	(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

simplify3.4s

Counts

110 → 110

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	89	1048
1	219	721
2	815	616
3	3626	598
done	5000	597

prune318.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample754.0ms

Algorithm

intervals

Results

516.0ms

10637×

body

valid