Details

sample130.0ms

Algorithm

intervals

Results

68.0ms	171×	body	1280	valid
28.0ms	117×	body	640	valid
8.0ms	54×	body	320	valid
7.0ms	157×	body	80	valid
2.0ms	23×	body	160	valid

simplify10.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	21	12
2	43	12
3	86	12
4	152	12
5	245	12
6	463	12
7	597	12
8	875	12
9	1888	12
10	2503	12
11	2539	12
12	2663	12
13	2680	12
done	2680	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.4b	(- (exp (- 0.0 im)) (exp im))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

53.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
28.0ms	(- (exp (- 0.0 im)) (exp im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
38.0ms	(- (exp (- 0.0 im)) (exp im))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (728.0ms)

Iter	Nodes	Cost
0	103	679
1	270	661
2	954	568
3	3623	565
done	5000	565

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b	(* -1/3 (pow im 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

7.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
29.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(* -1/3 (pow im 3))

series320.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
50.0ms	(* 1/60 (pow im 5))
175.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
35.0ms	(* -1/3 (pow im 3))

simplify730.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (271.0ms)

Iter	Nodes	Cost
0	182	1599
1	470	1493
2	1609	1316
done	5001	1316

prune300.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
0.2b	(* -1/3 (pow im 3))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`sub-neg` `associate--l+`
5×	`cbrt-unprod`
4×	`distribute-rgt-in` `distribute-lft-in` `cube-prod` `sqr-pow`
3×	`diff-log` `pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3--` `associate-*r/` `pow-exp` `flip--`
1×	`associate--l-` `cube-mult` `unpow3`

Counts

4 → 100

Calls

4 calls:

22.0ms	(- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
45.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
7.0ms	(* -1/3 (pow im 3))

series321.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))
51.0ms	(* 1/60 (pow im 5))
174.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
35.0ms	(* -1/3 (pow im 3))

simplify766.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	189	1705
1	491	1611
2	1626	1436
done	5000	1436

prune307.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (cos re)) (- (- (log (exp (* -1/3 (pow im 3)))) (* 1/60 (pow im 5))) (* 2 im)))
0.2b	(* -1/3 (pow im 3))
2.6b	(log (exp (* -1/3 (pow im 3))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
16×	`associate--l+`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
10×	`pow1`
9×	`log-prod` `prod-exp`
8×	`unpow-prod-down`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `unswap-sqr`
5×	`cbrt-unprod` `add-log-exp`
4×	`sub-neg` `cube-prod` `sqr-pow`
3×	`pow-prod-down` `log-pow` `*-commutative`
2×	`pow-to-exp` `associate-*r/` `pow-exp`
1×	`cube-mult` `exp-prod` `flip3--` `exp-to-pow` `unpow3` `rem-log-exp` `flip--`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* 1/60 (pow im 5))
51.0ms	(* (* 0.5 (cos re)) (- (- (log (exp (* -1/3 (pow im 3)))) (* 1/60 (pow im 5))) (* 2 im)))
7.0ms	(* -1/3 (pow im 3))
1.0ms	(log (exp (* -1/3 (pow im 3))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/60 (pow im 5))
179.0ms	(* (* 0.5 (cos re)) (- (- (log (exp (* -1/3 (pow im 3)))) (* 1/60 (pow im 5))) (* 2 im)))
40.0ms	(* -1/3 (pow im 3))
36.0ms	(log (exp (* -1/3 (pow im 3))))

simplify812.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (288.0ms)

Iter	Nodes	Cost
0	206	1758
1	511	1564
2	1672	1392
done	5001	1392

prune351.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes185.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	22
1	25	22
done	25	22

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.4s	5749×	body	1280	valid
1.1s	3616×	body	640	valid
233.0ms	1542×	body	320	valid
197.0ms	4412×	body	80	valid
66.0ms	660×	body	160	valid