Details

sample89.0ms

Algorithm

intervals

Results

29.0ms	43×	body	1280	valid
16.0ms	208×	body	80	valid
14.0ms	37×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:

36.0ms

(* (exp re) (cos im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (exp re) (cos im))

simplify2.5s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	2739
2	359
1	88
0	40

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite77.0ms

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))
50.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
21.0ms	(* (sqrt (exp re)) (cos im))

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
21.0ms	(sqrt (exp re))
50.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
61.0ms	(* (sqrt (exp re)) (cos im))

simplify943.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	734
1	170
0	81

prune468.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-r` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

23.0ms	(* (sqrt (exp re)) (cos im))
64.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series345.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (exp re)) (cos im))
93.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))
105.0ms	(cbrt (exp re))
97.0ms	(cbrt (exp re))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1198
1	270
0	111

prune558.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(expm1 (log1p (* (exp re) (cos im))))
0.2b	(log1p (* (exp re) (cos im)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

11.0ms	(* (exp re) (cos im))
0.0ms	(expm1 (log1p (* (exp re) (cos im))))
0.0ms	(log1p (* (exp re) (cos im)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (exp re) (cos im))
93.0ms	(expm1 (log1p (* (exp re) (cos im))))
94.0ms	(log1p (* (exp re) (cos im)))

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	2573
2	435
1	133
0	67

prune299.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

724.0ms	1500×	body	1280	valid
546.0ms	6950×	body	80	valid
366.0ms	1308×	body	640	valid
146.0ms	598×	body	320	valid
92.0ms	351×	body	160	valid