Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	51×	body	1280	valid
7.0ms	218×	body	80	valid
7.0ms	45×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	10×	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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify3.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (30.0ms)

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

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite232.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
22.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
198.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series110.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify3.1s

Counts

87 → 87

Iterations

Useful iterations: 3 (321.0ms)

Iter	Nodes	Cost
0	81	731
1	173	586
2	477	526
3	1024	517
4	1549	517
5	3562	517
done	5000	517

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sin im) (sqrt (sqrt (exp re))))))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
15×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1` `sqrt-prod`
9×	`exp-prod`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`rem-sqrt-square` `pow1/2`
1×	`associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

75.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sin im) (sqrt (sqrt (exp re))))))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series76.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sin im) (sqrt (sqrt (exp re))))))
11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify3.6s

Counts

84 → 84

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	76	844
1	176	722
2	517	430
3	1374	424
4	2451	420
done	5000	420

prune222.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (* (cbrt (exp re)) (cbrt (exp re))))
0.3b	(cbrt (exp re))
0.3b	(cbrt (exp re))
0.3b	(cbrt (exp re))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `pow1/3`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 52

Calls

4 calls:

3.0ms	(sqrt (* (cbrt (exp re)) (cbrt (exp re))))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))

series308.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (* (cbrt (exp re)) (cbrt (exp re))))
76.0ms	(cbrt (exp re))
75.0ms	(cbrt (exp re))
78.0ms	(cbrt (exp re))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 6 (946.0ms)

Iter	Nodes	Cost
0	43	406
1	69	333
2	99	309
3	117	292
4	230	272
5	673	272
6	3068	260
done	5000	260

prune178.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

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

sample1.3s

Algorithm

intervals

Results

486.0ms	1556×	body	1280	valid
254.0ms	6993×	body	80	valid
214.0ms	1251×	body	640	valid
66.0ms	594×	body	320	valid
25.0ms	309×	body	160	valid