Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	327×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	6×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify84.0ms

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 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)))

rewrite25.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
9.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 2.0 (* x 3.0))
96.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
64.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	795	779
3	3137	761
done	5001	751

prune175.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
9.0ms	(* x (- 6.0 (* 9.0 x)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- 6.0 (* 9.0 x))
76.0ms	(* x (- 6.0 (* 9.0 x)))

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	81	616
1	173	607
2	455	532
3	1492	520
done	5000	511

prune118.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite27.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
11.0ms	(* (- 2.0 (* x 3.0)) x)
12.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series210.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 2.0 (* x 3.0))
77.0ms	(* (- 2.0 (* x 3.0)) x)
94.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.4s

Counts

73 → 73

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	761	650
3	3543	634
done	5001	630

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 6.0 (* x 9.0))
9.0ms	(* x (- 6.0 (* x 9.0)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- 6.0 (* x 9.0))
76.0ms	(* x (- 6.0 (* x 9.0)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	82	616
1	172	607
2	456	542
3	1509	520
done	5002	511

prune103.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample356.0ms

Algorithm

intervals

Results

185.0ms	9833×	body	80	valid
26.0ms	314×	body	1280	valid
18.0ms	277×	body	640	valid
7.0ms	146×	body	320	valid
6.0ms	80×	body	160	valid