Details

sample96.0ms

Algorithm

intervals

Results

30.0ms

339×

body

valid

simplify10.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4854
11	3636
10	2752
9	2110
8	1794
7	1579
6	1259
5	785
4	479
3	234
2	90
1	35
0	17

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
9.3b	(* (* (* y 9.0) z) t)

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 88

Calls

4 calls:

55.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
33.0ms	(* (* y 9.0) z)
122.0ms	(* (* (* y 9.0) z) t)

series473.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
28.0ms	(* (* a 27.0) b)
44.0ms	(* (* y 9.0) z)
74.0ms	(* (* (* y 9.0) z) t)

simplify3.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1473
1	404
0	156

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* 2.0 x) (* (* (* t 9.0) z) y)))
0.2b	(* (* t 9.0) z)
4.9b	(* (* (* t 9.0) z) y)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 56

Calls

3 calls:

1.0ms	(fma a (* 27.0 b) (- (* 2.0 x) (* (* (* t 9.0) z) y)))
24.0ms	(* (* t 9.0) z)
103.0ms	(* (* (* t 9.0) z) y)

series401.0ms

Counts

3 → 9

Calls

3 calls:

312.0ms	(fma a (* 27.0 b) (- (* 2.0 x) (* (* (* t 9.0) z) y)))
39.0ms	(* (* t 9.0) z)
49.0ms	(* (* (* t 9.0) z) y)

simplify2.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	908
1	230
0	98

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* b 27.0) a) (* (* 9.0 (* z y)) t))
0.2b	(* 9.0 (* z y))
0.3b	(* (* b 27.0) a)
9.3b	(* (* 9.0 (* z y)) t)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

28.0ms	(- (* (* b 27.0) a) (* (* 9.0 (* z y)) t))
21.0ms	(* 9.0 (* z y))
27.0ms	(* (* b 27.0) a)
106.0ms	(* (* 9.0 (* z y)) t)

series264.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (* (* b 27.0) a) (* (* 9.0 (* z y)) t))
27.0ms	(* 9.0 (* z y))
28.0ms	(* (* b 27.0) a)
63.0ms	(* (* 9.0 (* z y)) t)

simplify2.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1345
1	358
0	140

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (* (* a 27.0) b))
8.5b	(cbrt (* (* a 27.0) b))
8.5b	(cbrt (* (* a 27.0) b))
9.3b	(* (* (* y 9.0) z) t)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

28.0ms	(cbrt (* (* a 27.0) b))
29.0ms	(cbrt (* (* a 27.0) b))
28.0ms	(cbrt (* (* a 27.0) b))
106.0ms	(* (* (* y 9.0) z) t)

series699.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (* (* a 27.0) b))
218.0ms	(cbrt (* (* a 27.0) b))
182.0ms	(cbrt (* (* a 27.0) b))
60.0ms	(* (* (* y 9.0) z) t)

simplify6.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	3906
2	762
1	243
0	103

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes5.3s

Accuracy

71.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.6b

bsearch2.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	51
1	51
0	38

end0.0ms

sample2.1s

Algorithm

intervals

Results

827.0ms

11015×

body

valid