Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	46×	body	1280	valid
8.0ms	48×	body	640	valid
7.0ms	213×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

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))

rewrite16.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

15.0ms

(* (exp re) (sin im))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (exp re) (sin im))

simplify173.0ms

Counts

23 → 23

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92
done	5001	92

prune48.0ms

Pruning

5 alts after pruning (4 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)))

rewrite73.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
20.0ms	(* (sqrt (exp re)) (sin im))
45.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
51.0ms	(* (sqrt (exp re)) (sin im))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify58.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	184	462
1	656	406
2	2370	403
3	5002	390
done	5002	390

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
154.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im))))
59.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
39.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im))))
53.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))

simplify75.0ms

Counts

100 → 100

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	232	704
1	850	551
2	2881	514
3	5001	497
done	5001	497

prune246.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(pow (sqrt (sqrt (exp re))) 3)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-prod`
25×	`add-sqr-sqrt`
24×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `unpow-prod-down` `sqrt-pow1` `cube-prod`
10×	`add-cbrt-cube`
9×	`pow1` `exp-prod` `prod-exp`
8×	`pow-pow`
4×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `cbrt-unprod`
2×	`cube-mult` `rem-sqrt-square` `unpow3` `sqr-pow`
1×	`associate-r` `*-commutative` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

64.0ms	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
7.0ms	(pow (sqrt (sqrt (exp re))) 3)

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
19.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
100.0ms	(pow (sqrt (sqrt (exp re))) 3)

simplify60.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	348	817
1	1523	682
2	5001	631
done	5001	631

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10
done	12	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

453.0ms	1562×	body	1280	valid
239.0ms	6944×	body	80	valid
210.0ms	1266×	body	640	valid
69.0ms	621×	body	320	valid
23.0ms	310×	body	160	valid