Details

sample246.0ms

Algorithm

intervals

Results

96.0ms	102×	body	1280	valid
43.0ms	284×	body	80	valid
43.0ms	61×	body	640	valid
24.0ms	20×	body	160	valid
16.0ms	34×	body	320	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*l/` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

8.0ms	(/ 0.5 (exp im))
80.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))

series161.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ 0.5 (exp im))
135.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))

simplify692.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2001
2	829
1	263
0	110

prune291.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (exp im) 0.5) (* (exp im) 0.5))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
3.7b	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
80×	`times-frac`
60×	`*-un-lft-identity` `add-cube-cbrt`
57×	`pow1`
40×	`add-cbrt-cube`
28×	`add-exp-log`
27×	`swap-sqr` `associate-r` `associate-l`
19×	`pow-prod-down`
16×	`prod-exp` `cbrt-unprod`
9×	`associate-*r/`
8×	`cbrt-undiv` `div-exp` `div-inv` `unswap-sqr`
6×	`pow-sqr` `pow-prod-up` `add-log-exp`
4×	`pow-plus` `associate-*l/` `insert-posit16`
3×	`pow2` `frac-times` `*-commutative` `frac-sub`
2×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 190

Calls

4 calls:

54.0ms	(* (* (exp im) 0.5) (* (exp im) 0.5))
25.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
29.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
22.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (exp im) 0.5) (* (exp im) 0.5))
30.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
28.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
65.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

simplify577.0ms

Counts

202 → 202

Iterations

Iter	Nodes
done	2001
1	611
0	185

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
1.0b	(cbrt (* (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))))
3.7b	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

rewrite524.0ms

Algorithm

rewrite-expression-head

Rules

132×	`frac-times`
91×	`associate-*l/`
84×	`add-sqr-sqrt`
80×	`times-frac`
64×	`associate-*r/`
63×	`cbrt-div`
60×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
20×	`add-exp-log`
18×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`pow-prod-down` `frac-sub`
2×	`pow2` `pow-plus` `pow3` `pow-sqr` `*-commutative` `pow-prod-up` `sub-div`
1×	`cbrt-prod` `sub-neg` `flip3--` `distribute-rgt-out--` `pow1/3` `diff-log` `rem-cbrt-cube` `flip--`

Counts

4 → 229

Calls

4 calls:

21.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
31.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
439.0ms	(cbrt (* (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))))
27.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
45.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
82.0ms	(cbrt (* (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))))
66.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

simplify732.0ms

Counts

241 → 241

Iterations

Iter	Nodes
done	2001
1	956
0	326

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (exp im) 0.5) (* (exp im) 0.5))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
3.7b	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
80×	`times-frac`
60×	`*-un-lft-identity` `add-cube-cbrt`
57×	`pow1`
40×	`add-cbrt-cube`
28×	`add-exp-log`
27×	`swap-sqr` `associate-r` `associate-l`
19×	`pow-prod-down`
16×	`prod-exp` `cbrt-unprod`
9×	`associate-*r/`
8×	`cbrt-undiv` `div-exp` `div-inv` `unswap-sqr`
6×	`pow-sqr` `pow-prod-up` `add-log-exp`
4×	`pow-plus` `associate-*l/` `insert-posit16`
3×	`pow2` `frac-times` `*-commutative` `frac-sub`
2×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 190

Calls

4 calls:

53.0ms	(* (* (exp im) 0.5) (* (exp im) 0.5))
43.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
44.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
43.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* (exp im) 0.5) (* (exp im) 0.5))
34.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
34.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
54.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

simplify567.0ms

Counts

202 → 202

Iterations

Iter	Nodes
done	2001
1	611
0	185

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample9.3s

Algorithm

intervals

Results

3.8s	2939×	body	1280	valid
2.4s	2419×	body	640	valid
1.5s	8586×	body	80	valid
1.0s	1220×	body	320	valid
189.0ms	625×	body	160	valid