Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	309×	body	80	valid
3.0ms	13×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify251.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	7	163
1	14	163
2	32	123
3	82	123
4	191	123
5	264	123
6	276	123
7	278	123
done	278	123

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

6.0ms	(- 2.0 (* x 3.0))
37.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
15.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- 2.0 (* x 3.0))
127.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
75.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	18608
1	281	16815
2	1359	15437
done	5000	15357

prune389.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

13.0ms	(- (* 6.0 x) (* (* x x) 9.0))
31.0ms	(* (* x x) 9.0)

series170.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(- (* 6.0 x) (* (* x x) 9.0))
32.0ms	(* (* x x) 9.0)

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	70	9327
1	196	7659
2	1175	6924
done	5001	6884

prune188.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

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

series152.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma 6.0 x (- (* (* x x) 9.0)))
54.0ms	(* (* x x) 9.0)

simplify784.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	53	7167
1	130	5785
2	793	5145
done	5000	5145

prune175.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma 6.0 x (- (* x (* x 9.0))))
17.0ms	(* x (* x 9.0))

series147.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(fma 6.0 x (- (* x (* x 9.0))))
33.0ms	(* x (* x 9.0))

simplify882.0ms

Counts

36 → 36

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	49	6962
1	112	5661
2	536	5141
done	5001	5021

prune164.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	178
1	13	178
2	20	178
done	20	178

end0.0ms

sample1.3s

Algorithm

intervals

Results

933.0ms	9844×	body	80	valid
67.0ms	344×	body	1280	valid
41.0ms	281×	body	640	valid
18.0ms	159×	body	320	valid
4.0ms	54×	body	160	valid