Details

sample35.0ms

Algorithm

intervals

Results

15.0ms	318×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify228.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	81	9
4	158	9
5	200	9
done	200	9

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite89.0ms

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:

8.0ms	(- 2.0 (* x 3.0))
38.0ms	(* 3.0 (- 2.0 (* x 3.0)))
40.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series207.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 2.0 (* x 3.0))
61.0ms	(* 3.0 (- 2.0 (* x 3.0)))
89.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.5s

Counts

83 → 83

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	751	779
3	2993	761
done	5001	706

prune202.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

10.0ms	(- 2.0 (* x 3.0))
22.0ms	(* (- 2.0 (* x 3.0)) x)
51.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- 2.0 (* x 3.0))
87.0ms	(* (- 2.0 (* x 3.0)) x)
105.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.4s

Counts

73 → 73

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	752	650
3	3196	634
done	5002	615

prune196.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:

38.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify2.0s

Counts

35 → 35

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	382	356
3	1330	347
done	5000	311

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

10.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
25.0ms	(* 9.0 (pow x 2))

series123.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (* x 6.0) (- (* 9.0 (pow x 2))))
33.0ms	(* 9.0 (pow x 2))

simplify3.1s

Counts

53 → 53

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	86	510
1	217	454
2	701	399
3	3120	363
done	5000	360

prune185.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample913.0ms

Algorithm

intervals

Results

497.0ms	9930×	body	80	valid
93.0ms	310×	body	1280	valid
41.0ms	264×	body	640	valid
16.0ms	138×	body	320	valid
4.0ms	57×	body	160	valid