Details

sample32.0ms

Algorithm

intervals

Results

15.0ms	298×	body	80	valid
3.0ms	11×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify189.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	224
6	224
5	221
4	169
3	80
2	31
1	14
0	7

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 56

Calls

2 calls:

25.0ms	(* 3.0 (- 2.0 (* x 3.0)))
38.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series230.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* 3.0 (- 2.0 (* x 3.0)))
146.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.9s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	3908
2	819
1	245
0	104

prune204.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-neg` `associate-r` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

11.0ms	(- 6.0 (* 9.0 x))
22.0ms	(* (- 6.0 (* 9.0 x)) x)

series183.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- 6.0 (* 9.0 x))
116.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify1.7s

Counts

50 → 50

Iterations

Iter	Nodes
done	5010
3	1497
2	472
1	167
0	73

prune187.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 46

Calls

2 calls:

26.0ms	(* (- 2.0 (* x 3.0)) x)
61.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series283.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(* (- 2.0 (* x 3.0)) x)
153.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify3.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3955
2	673
1	197
0	80

prune197.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log`
25×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`prod-diff`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-*r/`
8×	`associate-l`
7×	`associate-r`
6×	`sub-neg`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`associate-*l/` `unswap-sqr`

Counts

3 → 116

Calls

3 calls:

98.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
234.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
41.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

series715.0ms

Counts

3 → 9

Calls

3 calls:

228.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
320.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
167.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

simplify2.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	1752
1	515
0	169

prune340.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s	9890×	body	80	valid
71.0ms	332×	body	1280	valid
47.0ms	272×	body	640	valid
17.0ms	134×	body	320	valid
6.0ms	71×	body	160	valid