Details

sample303.0ms

Algorithm

intervals

Results

144.0ms	146×	body	1280	valid
78.0ms	141×	body	640	valid
21.0ms	59×	body	320	valid
18.0ms	163×	body	80	valid
8.0ms	32×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	85	11
4	130	11
5	230	11
6	282	11
7	400	11
8	693	11
9	878	11
10	914	11
11	955	11
done	955	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite143.0ms

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:

96.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
45.0ms	(- (exp (- im)) (exp im))

series157.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
50.0ms	(- (exp (- im)) (exp im))

simplify2.9s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	93	614
1	237	596
2	862	504
3	3315	502
done	5001	502

prune178.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

19.0ms	(* 1/60 (pow im 5))
134.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
19.0ms	(* -1/3 (pow im 3))

series402.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* 1/60 (pow im 5))
286.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
46.0ms	(* -1/3 (pow im 3))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	163	1201
1	407	1120
2	1394	978
done	5000	972

prune406.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* 0.008333333333333333 (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`associate-*r/` `pow-prod-down`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `flip3-+` `unpow3` `flip-+`

Counts

4 → 97

Calls

4 calls:

28.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
18.0ms	(* 0.008333333333333333 (pow im 5))
17.0ms	(* (sin re) (pow im 3))
46.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
81.0ms	(* 0.008333333333333333 (pow im 5))
116.0ms	(* (sin re) (pow im 3))
363.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

simplify1.8s

Counts

109 → 109

Iterations

Useful iterations: 2 (803.0ms)

Iter	Nodes	Cost
0	170	1193
1	437	1099
2	1622	977
done	5000	977

prune551.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.008333333333333333 (pow im 5))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
1.0b	(log (exp (* (sin re) (pow im 3))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

24.0ms	(* 0.008333333333333333 (pow im 5))
31.0ms	(* (sin re) (pow im 3))
50.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
6.0ms	(log (exp (* (sin re) (pow im 3))))

series706.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 0.008333333333333333 (pow im 5))
121.0ms	(* (sin re) (pow im 3))
373.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))
150.0ms	(log (exp (* (sin re) (pow im 3))))

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: 2 (309.0ms)

Iter	Nodes	Cost
0	161	1125
1	385	1017
2	1329	916
done	5001	916

prune564.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes475.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	24
1	30	24
2	32	24
done	32	24

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.1s	4689×	body	1280	valid
2.1s	3755×	body	640	valid
881.0ms	4494×	body	80	valid
770.0ms	1934×	body	320	valid
220.0ms	938×	body	160	valid