Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	304×	body	80	valid
1.0ms	16×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify122.0ms

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

localize5.0ms

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)

rewrite55.0ms

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:

6.0ms	(- 2.0 (* x 3.0))
17.0ms	(* 3.0 (- 2.0 (* x 3.0)))
30.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series196.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
65.0ms	(* 3.0 (- 2.0 (* x 3.0)))
92.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify2.1s

Counts

83 → 83

Iterations

Useful iterations: done (2.1s)

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

prune160.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

9.0ms	(+ (* 3.0 2.0) (* x (* 3.0 (- 3.0))))
25.0ms	(* (+ (* 3.0 2.0) (* x (* 3.0 (- 3.0)))) x)

series118.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 3.0 2.0) (* x (* 3.0 (- 3.0))))
79.0ms	(* (+ (* 3.0 2.0) (* x (* 3.0 (- 3.0)))) x)

simplify2.1s

Counts

44 → 44

Iterations

Useful iterations: 3 (976.0ms)

Iter	Nodes	Cost
0	67	629
1	184	577
2	750	513
3	3242	462
done	5000	462

prune109.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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))

rewrite54.0ms

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:

6.0ms	(- 2.0 (* x 3.0))
20.0ms	(* (- 2.0 (* x 3.0)) x)
27.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series204.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
76.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.5s

Counts

73 → 73

Iterations

Useful iterations: done (2.5s)

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

prune139.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

6.0ms	(- 2.0 (* x 3.0))
17.0ms	(* (- 2.0 (* x 3.0)) x)
91.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
29.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series453.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 2.0 (* x 3.0))
73.0ms	(* (- 2.0 (* x 3.0)) x)
188.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
153.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	140	1569
1	344	1542
2	1258	1173
done	5000	1038

prune196.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	16	12
2	20	12
3	23	12
done	23	12

end0.0ms

sample381.0ms

Algorithm

intervals

Results

173.0ms	9792×	body	80	valid
28.0ms	350×	body	1280	valid
22.0ms	268×	body	640	valid
7.0ms	140×	body	320	valid
2.0ms	67×	body	160	valid