Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	313×	body	80	valid
1.0ms	11×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify72.0ms

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: 0.3b

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

rewrite26.0ms

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:

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

series189.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
61.0ms	(* 3.0 (- 2.0 (* x 3.0)))
90.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	113	917
1	252	903
2	792	779
3	3136	761
done	5001	751

prune166.0ms

Pruning

11 alts after pruning (11 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))

rewrite24.0ms

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:

2.0ms	(- 2.0 (* x 3.0))
8.0ms	(* (- 2.0 (* x 3.0)) x)
12.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series201.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
74.0ms	(* (- 2.0 (* x 3.0)) x)
90.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.6s

Counts

73 → 73

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	101	768
1	233	756
2	761	650
3	3543	634
done	5000	630

prune159.0ms

Pruning

11 alts after pruning (11 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))
8.0ms	(* x (- 6.0 (* x 9.0)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- 6.0 (* x 9.0))
76.0ms	(* x (- 6.0 (* x 9.0)))

simplify1.0s

Counts

58 → 58

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	82	616
1	172	607
2	457	532
3	1509	520
done	5000	511

prune106.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

3.0ms	(+ (* 6.0 x) (* (- 9.0) (* x x)))
14.0ms	(* (- 9.0) (* x x))

series109.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (* 6.0 x) (* (- 9.0) (* x x)))
28.0ms	(* (- 9.0) (* x x))

simplify1.8s

Counts

51 → 51

Iterations

Useful iterations: 3 (527.0ms)

Iter	Nodes	Cost
0	73	497
1	209	454
2	739	380
3	2724	374
done	5000	374

prune96.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	13	10
2	16	10
3	20	10
done	20	10

end0.0ms

sample363.0ms

Algorithm

intervals

Results

195.0ms	9778×	body	80	valid
30.0ms	351×	body	1280	valid
17.0ms	245×	body	640	valid
7.0ms	144×	body	320	valid
2.0ms	60×	body	160	valid