Details

sample121.0ms

Algorithm

intervals

Results

43.0ms	86×	body	1280	valid
29.0ms	289×	body	80	valid
23.0ms	73×	body	640	valid
9.0ms	44×	body	320	valid
3.0ms	22×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
7	3806
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.1b	(/ 0.5 (exp im))

rewrite77.0ms

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-*r/` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

65.0ms	(* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
10.0ms	(/ 0.5 (exp im))

series155.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (sin re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
32.0ms	(/ 0.5 (exp im))

simplify1.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1018
1	303
0	114

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.0b	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.1b	(/ 0.5 (exp im))
0.1b	(/ 0.5 (exp im))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `add-exp-log` `sqrt-prod` `associate-/l`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `flip-+` `div-inv`

Counts

4 → 88

Calls

4 calls:

17.0ms	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
30.0ms	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
9.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))

series293.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
129.0ms	(sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
23.0ms	(/ 0.5 (exp im))
14.0ms	(/ 0.5 (exp im))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	2105
2	605
1	233
0	108

prune640.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 0.5 (exp im))
0.1b	(/ 0.5 (exp im))
0.1b	(/ 0.5 (exp im))
6.9b	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l`
7×	`add-exp-log`
6×	`add-log-exp`
4×	`pow1` `insert-posit16`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 98

Calls

4 calls:

7.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))
59.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))
53.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

simplify3.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5003
3	4662
2	872
1	228
0	94

prune580.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.7s	2921×	body	1280	valid
2.4s	2517×	body	640	valid
1.1s	8462×	body	80	valid
560.0ms	1192×	body	320	valid
172.0ms	646×	body	160	valid