Details

sample57.0ms

Algorithm

intervals

Results

18.0ms	47×	body	1280	valid
11.0ms	47×	body	640	valid
9.0ms	213×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

17.0ms

(* (exp re) (cos im))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (exp re) (cos im))

simplify137.0ms

Counts

23 → 23

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91
done	5001	91

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(log1p (expm1 (* (exp re) (cos im))))
0.4b	(expm1 (* (exp re) (cos im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

13.0ms	(* (exp re) (cos im))
0.0ms	(log1p (expm1 (* (exp re) (cos im))))
0.0ms	(expm1 (* (exp re) (cos im)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (exp re) (cos im))
64.0ms	(log1p (expm1 (* (exp re) (cos im))))
62.0ms	(expm1 (* (exp re) (cos im)))

simplify40.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	129	241
1	398	211
2	1498	209
3	5001	209
done	5001	209

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(exp (* (exp re) (cos im)))
0.3b	(log (exp (* (exp re) (cos im))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log`
3×	`expm1-log1p-u` `log-prod` `associate-r` `associate-l` `log-pow` `log1p-expm1-u`
2×	`exp-prod` `exp-to-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

13.0ms	(* (exp re) (cos im))
7.0ms	(exp (* (exp re) (cos im)))
4.0ms	(log (exp (* (exp re) (cos im))))

series125.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (exp re) (cos im))
48.0ms	(exp (* (exp re) (cos im)))
38.0ms	(log (exp (* (exp re) (cos im))))

simplify37.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	127	271
1	361	236
2	1376	235
3	5001	235
done	5001	235

prune112.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (cos im)) re)
0.0b	(exp (+ (log (cos im)) re))
2.5b	(log (cos im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `fma-def` `log-pow` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 53

Calls

3 calls:

10.0ms	(+ (log (cos im)) re)
19.0ms	(exp (+ (log (cos im)) re))
2.0ms	(log (cos im))

series171.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (log (cos im)) re)
32.0ms	(exp (+ (log (cos im)) re))
83.0ms	(log (cos im))

simplify42.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	157	247
1	420	225
2	1347	225
3	5001	222
done	5001	222

prune128.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

432.0ms	1564×	body	1280	valid
208.0ms	6944×	body	80	valid
194.0ms	1267×	body	640	valid
58.0ms	618×	body	320	valid
20.0ms	312×	body	160	valid