Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	51×	body	1280	valid
12.0ms	211×	body	80	valid
11.0ms	37×	body	640	valid
6.0ms	31×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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) (cos im))

rewrite15.0ms

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:

14.0ms

(* (exp re) (cos im))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(* (exp re) (cos im))

simplify2.7s

Counts

23 → 23

Iterations

Useful iterations: 4 (389.0ms)

Iter	Nodes	Cost
0	40	169
1	82	164
2	210	145
3	350	145
4	490	144
5	868	144
6	2183	144
done	5000	144

prune56.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite104.0ms

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:

5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
64.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
26.0ms	(* (sqrt (exp re)) (cos im))

series174.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp re))
24.0ms	(sqrt (exp re))
58.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
68.0ms	(* (sqrt (exp re)) (cos im))

simplify4.4s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	81	775
1	159	616
2	449	560
3	884	554
4	1186	547
5	2651	547
done	5000	547

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos im) (exp re))
0.1b	(log1p (expm1 (* (cos im) (exp re))))
0.4b	(expm1 (* (cos im) (exp re)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

27.0ms	(* (cos im) (exp re))
0.0ms	(log1p (expm1 (* (cos im) (exp re))))
1.0ms	(expm1 (* (cos im) (exp re)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* (cos im) (exp re))
82.0ms	(log1p (expm1 (* (cos im) (exp re))))
76.0ms	(expm1 (* (cos im) (exp re)))

simplify2.9s

Counts

51 → 51

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	66	413
1	130	377
2	331	335
3	659	330
4	1536	329
done	5000	329

prune125.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (expm1 (* (cos im) (exp re))))
0.4b	(expm1 (* (cos im) (exp re)))
0.4b	(expm1 (* (cos im) (exp re)))
0.4b	(* (sqrt (expm1 (* (cos im) (exp re)))) (sqrt (expm1 (* (cos im) (exp re)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`expm1-log1p` `expm1-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (expm1 (* (cos im) (exp re))))
0.0ms	(expm1 (* (cos im) (exp re)))
0.0ms	(expm1 (* (cos im) (exp re)))
13.0ms	(* (sqrt (expm1 (* (cos im) (exp re)))) (sqrt (expm1 (* (cos im) (exp re)))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(sqrt (expm1 (* (cos im) (exp re))))
69.0ms	(expm1 (* (cos im) (exp re)))
69.0ms	(expm1 (* (cos im) (exp re)))
97.0ms	(* (sqrt (expm1 (* (cos im) (exp re)))) (sqrt (expm1 (* (cos im) (exp re)))))

simplify3.7s

Counts

100 → 100

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	86	1424
1	161	954
2	416	851
3	1252	815
4	4140	782
done	5000	782

prune416.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
done	9	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	1538×	body	1280	valid
561.0ms	6894×	body	80	valid
309.0ms	1222×	body	640	valid
148.0ms	635×	body	320	valid
40.0ms	326×	body	160	valid