Details

sample67.0ms

Algorithm

intervals

Results

28.0ms	40×	body	1280	valid
12.0ms	235×	body	80	valid
7.0ms	29×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	8×	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

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))

rewrite17.0ms

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:

16.0ms

(* (exp re) (sin im))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* (exp re) (sin im))

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	42	173
1	97	168
2	383	150
3	2386	146
done	5001	146

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)))

rewrite124.0ms

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))
31.0ms	(* (sqrt (exp re)) (sin im))
79.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
64.0ms	(* (sqrt (exp re)) (sin im))
56.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify811.0ms

Counts

95 → 95

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	87	783
1	192	722
2	790	576
done	5001	556

prune469.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (sqrt (exp re))))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (log1p (expm1 (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
0.6b	(expm1 (sqrt (exp re)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

0.0ms	(log1p (expm1 (sqrt (exp re))))
29.0ms	(* (sqrt (exp re)) (sin im))
61.0ms	(* (log1p (expm1 (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
1.0ms	(expm1 (sqrt (exp re)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(log1p (expm1 (sqrt (exp re))))
54.0ms	(* (sqrt (exp re)) (sin im))
162.0ms	(* (log1p (expm1 (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
59.0ms	(expm1 (sqrt (exp re)))

simplify887.0ms

Counts

78 → 78

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	105	783
1	234	662
2	923	504
done	5000	486

prune339.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes164.0ms

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

787.0ms	6859×	body	80	valid
751.0ms	1463×	body	1280	valid
338.0ms	1277×	body	640	valid
278.0ms	653×	body	320	valid
35.0ms	294×	body	160	valid