Details

sample83.0ms

Algorithm

intervals

Results

33.0ms	55×	body	1280	valid
14.0ms	225×	body	80	valid
9.0ms	30×	body	640	valid
6.0ms	28×	body	320	valid
2.0ms	16×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

(* (exp re) (sin im))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(* (exp re) (sin im))

simplify3.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	228	136
3	384	136
4	553	136
5	934	136
6	2249	136
done	5000	136

prune68.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

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:

4.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
68.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
29.0ms	(* (sqrt (exp re)) (sin im))

series191.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
68.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
94.0ms	(* (sqrt (exp re)) (sin im))

simplify5.0s

Counts

87 → 87

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	81	731
1	171	586
2	483	526
3	906	517
4	1253	517
5	2712	517
done	5001	517

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

26×	`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×	`unpow-prod-down`
6×	`exp-prod` `sqrt-prod`
4×	`pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `div-inv`

Counts

4 → 93

Calls

4 calls:

4.0ms	(sqrt (exp re))
57.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
9.0ms	(pow (exp 1) (/ re 2))
32.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

series202.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
97.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
24.0ms	(pow (exp 1) (/ re 2))
66.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

simplify3.3s

Counts

105 → 105

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	144	1170
1	324	940
2	897	884
3	3209	857
done	5000	681

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 1) (/ (/ re 2) 2))
0.0b	(pow E (/ re 4))
0.0b	(* (sin im) (pow E (/ re 4)))
0.0b	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ re 4))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`add-sqr-sqrt`
56×	`pow-unpow`
54×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log`
31×	`prod-exp`
16×	`pow-exp`
13×	`unpow-prod-down`
11×	`pow-to-exp` `add-cbrt-cube`
10×	`associate-l`
8×	`associate-r`
6×	`pow1`
5×	`e-exp-1` `pow-pow` `div-inv` `sqr-pow`
4×	`cbrt-unprod` `add-log-exp`
3×	`exp-prod` `unswap-sqr`
2×	`*-commutative`

Counts

4 → 147

Calls

4 calls:

15.0ms	(pow (exp 1) (/ (/ re 2) 2))
7.0ms	(pow E (/ re 4))
26.0ms	(* (sin im) (pow E (/ re 4)))
63.0ms	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ re 4))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (exp 1) (/ (/ re 2) 2))
20.0ms	(pow E (/ re 4))
68.0ms	(* (sin im) (pow E (/ re 4)))
75.0ms	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ re 4))))

simplify4.3s

Counts

159 → 159

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	265	2068
1	642	1556
2	1542	1364
3	4549	1308
done	5000	1229

prune809.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	1516×	body	1280	valid
494.0ms	6940×	body	80	valid
359.0ms	1257×	body	640	valid
144.0ms	615×	body	320	valid
36.0ms	305×	body	160	valid