Details

sample192.0ms

Algorithm

intervals

Results

119.0ms	750×	body	80	nan
37.0ms	256×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1551
3	412
2	119
1	38
0	18

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ x (* y 27.0))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.7b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
26×	`add-sqr-sqrt`
18×	`associate-l`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`times-frac`
9×	`associate-r`
8×	`pow1`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-l/` `*-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

7.0ms	(/ x (* y 27.0))
12.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
32.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
85.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series182.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ x (* y 27.0))
20.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
35.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
104.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify2.2s

Counts

148 → 148

Iterations

Iter	Nodes
done	5010
2	3105
1	711
0	260

prune750.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ 1.0 (cbrt 3.0))
4.7b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
4.7b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
83×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
40×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
35×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
26×	`cbrt-undiv` `div-exp`
22×	`cbrt-prod`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 164

Calls

4 calls:

17.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
4.0ms	(/ 1.0 (cbrt 3.0))
21.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
91.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

series744.0ms

Counts

4 → 10

Calls

4 calls:

104.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ 1.0 (cbrt 3.0))
46.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))
593.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))

simplify2.2s

Counts

174 → 174

Iterations

Iter	Nodes
done	5035
2	3178
1	757
0	281

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
4.8b	(* (sqrt t) (/ x (* z y)))
5.6b	(/ x (* z y))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
13×	`prod-exp` `cbrt-unprod`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`associate-r`
6×	`cbrt-undiv` `times-frac` `div-exp`
4×	`pow-prod-down` `sqrt-prod`
3×	`expm1-log1p-u` `associate-r/` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

3 → 84

Calls

3 calls:

86.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
42.0ms	(* (sqrt t) (/ x (* z y)))
15.0ms	(/ x (* z y))

series241.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
99.0ms	(* (sqrt t) (/ x (* z y)))
39.0ms	(/ x (* z y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1428
1	398
0	147

prune482.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes593.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample8.9s

Algorithm

intervals

Results

5.4s	23922×	body	80	nan
2.3s	8000×	body	80	valid