Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	47×	body	1280	valid
8.0ms	45×	body	640	valid
7.0ms	211×	body	80	valid
2.0ms	15×	body	320	valid
2.0ms	19×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify3.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	231	136
3	460	136
4	726	136
5	1496	136
6	4155	136
done	5000	136

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

1.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
22.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (sin im))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify2.9s

Counts

87 → 87

Iterations

Useful iterations: 3 (325.0ms)

Iter	Nodes	Cost
0	81	731
1	173	586
2	483	526
3	1059	517
4	1568	517
5	3565	517
done	5000	517

prune193.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
0.0b	(pow (exp 1) (/ re 2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
13×	`pow-unpow` `associate-l`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
8×	`pow1`
7×	`sqrt-prod`
6×	`unpow-prod-down` `exp-prod`
4×	`pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `div-inv`

Counts

4 → 92

Calls

4 calls:

4.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
20.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
3.0ms	(pow (exp 1) (/ re 2))

series145.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (sin im))
75.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
13.0ms	(pow (exp 1) (/ re 2))

simplify2.0s

Counts

104 → 104

Iterations

Useful iterations: 3 (957.0ms)

Iter	Nodes	Cost
0	143	1068
1	335	877
2	921	823
3	3204	803
done	5000	803

prune280.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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	7	10
1	9	10
done	9	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

476.0ms	1501×	body	1280	valid
239.0ms	6989×	body	80	valid
217.0ms	1260×	body	640	valid
65.0ms	584×	body	320	valid
24.0ms	316×	body	160	valid