Details

sample114.0ms

Algorithm

intervals

Results

35.0ms	47×	body	640	valid
32.0ms	44×	body	1280	valid
23.0ms	232×	body	80	valid
6.0ms	18×	body	320	valid
3.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	6
1	6
0	5

prune5.0ms

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) (cos im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
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:

14.0ms

(* (exp re) (cos im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (cos im))

simplify2.2s

Counts

23 → 23

Iterations

Iter	Nodes
6	2702
5	1236
4	764
3	450
2	192
1	86
0	40

prune188.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
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:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
17.0ms	(* (sqrt (exp re)) (cos im))

series114.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))
42.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
45.0ms	(* (sqrt (exp re)) (cos im))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
4	2330
3	1128
2	422
1	168
0	81

prune977.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

88×	`sqrt-pow1`
86×	`sqrt-prod`
62×	`add-sqr-sqrt`
43×	`pow1`
28×	`*-un-lft-identity` `add-cube-cbrt`
24×	`exp-prod`
20×	`pow1/2`
18×	`add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down`
15×	`swap-sqr`
12×	`pow-prod-up`
10×	`associate-r` `associate-l`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`pow-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 158

Calls

4 calls:

143.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))
5.0ms	(sqrt (sqrt (exp re)))
5.0ms	(sqrt (sqrt (exp re)))
35.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))
93.0ms	(sqrt (sqrt (exp re)))
106.0ms	(sqrt (sqrt (exp re)))
25.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify1.0s

Counts

170 → 170

Iterations

Iter	Nodes
3	2329
2	794
1	328
0	149

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	1483×	body	1280	valid
1.1s	6935×	body	80	valid
675.0ms	1302×	body	640	valid
228.0ms	596×	body	320	valid
59.0ms	308×	body	160	valid