Details

sample296.0ms

Algorithm

intervals

Results

167.0ms	173×	body	1280	valid
62.0ms	135×	body	640	valid
17.0ms	49×	body	320	valid
15.0ms	162×	body	80	valid
4.0ms	22×	body	160	valid

simplify7.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	24	12
2	56	12
3	187	12
4	1925	12
done	5000	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize15.0ms

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))

rewrite263.0ms

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:

178.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
82.0ms	(- (exp (- 0.0 im)) (exp im))

series180.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
72.0ms	(- (exp (- 0.0 im)) (exp im))

simplify2.3s

Counts

46 → 46

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	103	679
1	544	661
done	5000	566

prune206.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
25×	`add-sqr-sqrt`
18×	`add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative` `add-log-exp`
2×	`pow-to-exp` `distribute-neg-in` `associate-*r/` `pow-exp` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

3 → 86

Calls

3 calls:

13.0ms	(* 1/60 (pow im 5))
184.0ms	(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
31.0ms	(* 1/3 (pow im 3))

series429.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* 1/60 (pow im 5))
291.0ms	(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
63.0ms	(* 1/3 (pow im 3))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	185	1350
1	1613	1262
done	5000	1122

prune440.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.008333333333333333 (* (cos re) (pow im 5)))
0.1b	(* (cos re) (pow im 3))
0.1b	(* (cos re) im)
0.1b	(* 0.16666666666666666 (* (cos re) (pow im 3)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`prod-exp` `add-cbrt-cube`
17×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`pow1`
8×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `*-commutative` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`sqr-pow`
1×	`cube-mult` `unpow3`

Counts

4 → 87

Calls

4 calls:

34.0ms	(* 0.008333333333333333 (* (cos re) (pow im 5)))
18.0ms	(* (cos re) (pow im 3))
9.0ms	(* (cos re) im)
54.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* 0.008333333333333333 (* (cos re) (pow im 5)))
116.0ms	(* (cos re) (pow im 3))
53.0ms	(* (cos re) im)
161.0ms	(* 0.16666666666666666 (* (cos re) (pow im 3)))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	954
1	871	890
done	5001	759

prune440.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))

series666.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
155.0ms	(cbrt (cos re))
134.0ms	(cbrt (cos re))
123.0ms	(cbrt (cos re))

simplify8.3s

Counts

85 → 85

Iterations

Useful iterations: done (8.3s)

Iter	Nodes	Cost
0	64	686
1	410	550
done	5000	505

prune515.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify36.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	31	25
2	41	25
3	59	25
4	69	25
done	69	25

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.9s	5704×	body	1280	valid
2.2s	3516×	body	640	valid
1.0s	4388×	body	80	valid
888.0ms	1519×	body	320	valid
125.0ms	687×	body	160	valid