Details

sample134.0ms

Algorithm

intervals

Results

75.0ms	194×	body	1280	valid
24.0ms	106×	body	640	valid
9.0ms	41×	body	320	valid
6.0ms	136×	body	80	valid
2.0ms	17×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	21	12
2	44	12
3	99	12
4	183	12
5	266	12
6	403	12
7	448	12
8	695	12
9	1360	12
10	1826	12
11	1864	12
12	1902	12
done	1902	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.7b	(- (exp (- 0.0 im)) (exp im))

rewrite167.0ms

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:

113.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
52.0ms	(- (exp (- 0.0 im)) (exp im))

series123.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
39.0ms	(- (exp (- 0.0 im)) (exp im))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	103	679
1	266	661
2	921	568
3	3533	565
done	5002	563

prune126.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-l`
13×	`associate-r` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`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:

18.0ms	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im)))
12.0ms	(* 1/60 (pow im 5))
67.0ms	(* (* 0.5 (cos re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))
13.0ms	(* (pow im 3) -1/3)

series328.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im)))
53.0ms	(* 1/60 (pow im 5))
180.0ms	(* (* 0.5 (cos re)) (- (* (pow im 3) -1/3) (+ (* 1/60 (pow im 5)) (* 2 im))))
37.0ms	(* (pow im 3) -1/3)

simplify934.0ms

Counts

106 → 106

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	181	1593
1	455	1492
2	1662	1323
done	5000	1315

prune314.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
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)))
0.1b	(* -1/3 (pow im 3))

rewrite344.0ms

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

Counts

4 → 96

Calls

4 calls:

10.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
12.0ms	(* 1/60 (pow im 5))
306.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
13.0ms	(* -1/3 (pow im 3))

series398.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- (* -1/3 (pow im 3)) (* 1/60 (pow im 5)))
47.0ms	(* 1/60 (pow im 5))
177.0ms	(* (* 0.5 (cos re)) (- (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
39.0ms	(* -1/3 (pow im 3))

simplify879.0ms

Counts

108 → 108

Iterations

Useful iterations: done (876.0ms)

Iter	Nodes	Cost
0	193	1578
1	498	1440
2	1651	1301
done	5000	1293

prune300.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
21×	`pow1` `associate-r`
17×	`prod-exp`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down`
10×	`associate-l`
8×	`unpow-prod-down`
7×	`unswap-sqr`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `associate-*l/` `pow-exp`
1×	`cube-mult` `flip3--` `unpow3` `flip--`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* 1/60 (pow im 5))
48.0ms	(* (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 0.5 (cos re)))
29.0ms	(* (* -2 im) (* 0.5 (cos re)))
15.0ms	(* -1/3 (pow im 3))

series218.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/60 (pow im 5))
81.0ms	(* (- (* -1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 0.5 (cos re)))
43.0ms	(* (* -2 im) (* 0.5 (cos re)))
39.0ms	(* -1/3 (pow im 3))

simplify889.0ms

Counts

110 → 110

Iterations

Useful iterations: done (886.0ms)

Iter	Nodes	Cost
0	187	1287
1	470	1170
2	1642	1000
done	5000	990

prune279.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	20
1	23	20
done	23	20

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	5695×	body	1280	valid
811.0ms	3529×	body	640	valid
218.0ms	1518×	body	320	valid
204.0ms	4338×	body	80	valid
67.0ms	673×	body	160	valid