Details

sample18.0ms

Algorithm

intervals

Results

9.0ms	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

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	73	9
4	130	9
5	163	9
done	163	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite24.0ms

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)))
14.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series151.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* 3.0 (- 2.0 (* x 3.0)))
91.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.2s

Counts

60 → 60

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	102	712
1	229	704
2	739	604
3	3089	588
done	5000	581

prune143.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:

9.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	401	356
3	1387	347
done	5000	341

prune77.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

7.0ms	(* (- 2.0 (* x 3.0)) x)
12.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series168.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (- 2.0 (* x 3.0)) x)
92.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	78	563
1	190	557
2	684	475
3	3476	461
done	5000	460

prune112.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)
0.2b	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

25.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
77.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
10.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

series438.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0))))
198.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 2.0 (* x 3.0)))) x)
98.0ms	(* (cbrt 3.0) (- 2.0 (* x 3.0)))

simplify995.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	166	2331
1	444	2305
2	1662	1604
done	5000	1604

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes55.0ms

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

sample376.0ms

Algorithm

intervals

Results

197.0ms	9919×	body	80	valid
28.0ms	321×	body	1280	valid
23.0ms	291×	body	640	valid
8.0ms	141×	body	320	valid
2.0ms	66×	body	160	valid