Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	323×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	74	9
4	134	9
5	170	9
done	170	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 54

Calls

2 calls:

8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series143.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 3.0 (- 2.0 (* x 3.0)))
85.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify741.0ms

Counts

60 → 60

Iterations

Useful iterations: done (739.0ms)

Iter	Nodes	Cost
0	102	712
1	236	704
2	986	604
done	5002	597

prune96.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

8.0ms

(* x (- 6.0 (* 9.0 x)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* x (- 6.0 (* 9.0 x)))

simplify2.1s

Counts

35 → 35

Iterations

Useful iterations: 3 (324.0ms)

Iter	Nodes	Cost
0	71	411
1	156	408
2	604	356
3	3081	341
done	5000	341

prune63.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `sum-log` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 47

Calls

2 calls:

3.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
6.0ms	(* 9.0 (pow x 2))

series98.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* 6.0 x) (- (* 9.0 (pow x 2))))
26.0ms	(* 9.0 (pow x 2))

simplify515.0ms

Counts

53 → 53

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	85	510
1	224	454
2	985	399
done	5000	364

prune95.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 6.0 x (- (* 9.0 (pow x 2))))
0.2b	(* 9.0 (pow x 2))

rewrite7.0ms

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` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma 6.0 x (- (* 9.0 (pow x 2))))
6.0ms	(* 9.0 (pow x 2))

series96.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(fma 6.0 x (- (* 9.0 (pow x 2))))
24.0ms	(* 9.0 (pow x 2))

simplify1.9s

Counts

45 → 45

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	67	394
1	133	371
2	483	320
3	2110	294
done	5000	294

prune82.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

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	8	9
1	13	9
2	15	9
done	15	9

end0.0ms

sample355.0ms

Algorithm

intervals

Results

180.0ms	9919×	body	80	valid
28.0ms	321×	body	1280	valid
22.0ms	291×	body	640	valid
7.0ms	141×	body	320	valid
2.0ms	66×	body	160	valid