Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	297×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	12×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify196.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
24.0ms	(* 3.0 (- 2.0 (* x 3.0)))
53.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series289.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 2.0 (* x 3.0))
79.0ms	(* 3.0 (- 2.0 (* x 3.0)))
146.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify3.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4953
2	879
1	270
0	116

prune312.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(- 6.0 (* x 9.0))
24.0ms	(* x (- 6.0 (* x 9.0)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 6.0 (* x 9.0))
114.0ms	(* x (- 6.0 (* x 9.0)))

simplify3.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5002
3	2578
2	565
1	190
0	84

prune204.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

17.0ms	(+ (* 6.0 x) (* (- (* x 9.0)) x))
20.0ms	(* (- (* x 9.0)) x)

series151.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(+ (* 6.0 x) (* (- (* x 9.0)) x))
35.0ms	(* (- (* x 9.0)) x)

simplify2.6s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3590
2	806
1	197
0	71

prune182.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 6.0 x (* (- (* x 9.0)) x))
0.2b	(* (- (* x 9.0)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

0.0ms	(fma 6.0 x (* (- (* x 9.0)) x))
11.0ms	(* (- (* x 9.0)) x)

series152.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(fma 6.0 x (* (- (* x 9.0)) x))
47.0ms	(* (- (* x 9.0)) x)

simplify2.4s

Counts

42 → 42

Iterations

Iter	Nodes
done	5002
3	1981
2	471
1	122
0	58

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

900.0ms	9719×	body	80	valid
60.0ms	331×	body	1280	valid
43.0ms	307×	body	640	valid
14.0ms	146×	body	320	valid
5.0ms	72×	body	160	valid