Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	313×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify75.0ms

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: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series194.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
64.0ms	(* 3.0 (- 2.0 (* x 3.0)))
91.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify592.0ms

Counts

83 → 83

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	113	917
1	266	903
2	1064	779
done	5001	773

prune162.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
8.0ms	(* (- 6.0 (* 9.0 x)) x)

series124.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 6.0 (* 9.0 x))
77.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify1.8s

Counts

48 → 48

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	71	458
1	169	449
2	563	398
3	2570	388
done	5001	385

prune107.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 9.0 6.0)
0.1b	(* (/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0)) x)
0.2b	(* (fma x 9.0 6.0) (- 6.0 (* 9.0 x)))
0.2b	(/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma x 9.0 6.0)
16.0ms	(* (/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0)) x)
8.0ms	(* (fma x 9.0 6.0) (- 6.0 (* 9.0 x)))
8.0ms	(/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma x 9.0 6.0)
76.0ms	(* (/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0)) x)
118.0ms	(* (fma x 9.0 6.0) (- 6.0 (* 9.0 x)))
39.0ms	(/ (* (fma x 9.0 6.0) (- 6.0 (* 9.0 x))) (fma x 9.0 6.0))

simplify1.0s

Counts

108 → 108

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	149	1837
1	373	1808
2	1998	1194
done	5001	1158

prune235.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize6.0ms

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`
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×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
26.0ms	(* 9.0 (pow x 2))

simplify3.3s

Counts

51 → 51

Iterations

Useful iterations: 3 (435.0ms)

Iter	Nodes	Cost
0	83	510
1	201	467
2	745	419
3	3509	383
done	5001	383

prune95.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample364.0ms

Algorithm

intervals

Results

188.0ms	9778×	body	80	valid
30.0ms	351×	body	1280	valid
20.0ms	245×	body	640	valid
7.0ms	144×	body	320	valid
2.0ms	60×	body	160	valid