Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

351×

body

valid

simplify615.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

(* (fma 0.12 x 0.253) x)

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(* (fma 0.12 x 0.253) x)

simplify4.0s

Counts

23 → 23

Iterations

Useful iterations: 2 (70.0ms)

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

prune67.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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))
31.0ms	(* x (+ 0.253 (* x 0.12)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ 0.253 (* x 0.12))
84.0ms	(* x (+ 0.253 (* x 0.12)))

simplify1.8s

Counts

46 → 46

Iterations

Useful iterations: 2 (144.0ms)

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

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))
0.2b	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`prod-diff`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-/r*`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 110

Calls

4 calls:

6.0ms	(- 0.253 (* x 0.12))
41.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
33.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))
27.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 0.253 (* x 0.12))
116.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
62.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))
139.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	153	2127
1	369	1522
2	1727	1237
done	5002	1207

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite23.0ms

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:

9.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
13.0ms	(* 0.12 (pow x 2))

series129.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
33.0ms	(* 0.12 (pow x 2))

simplify2.8s

Counts

49 → 49

Iterations

Useful iterations: done (2.8s)

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

prune101.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	14	20
done	14	20

end0.0ms

sample551.0ms

Algorithm

intervals

Results

311.0ms

10701×

body

valid